ISBNIDISBN()CategorySubCategoryBISAC----9783957430618B004033925N029783957430618Von Rang und NamenEssays in Honour of Wolfgang SpohnWolfgang Freitag^^Hans Rott^^Holger Sturm^^Alexandra ZinkeMentis Verlag2016-06-01EUR42.00PaperbackPrintedBookEnglishEpistemologie; Erkenntnistheorie; SprachphilosophieWolfgang Spohn is an eminent figure in contemporary analytic philosophy. Though best known for his seminal work in formal epistemology, in particular for the inception and development of ranking theory, his philosophical interests are much broader, covering virtually all parts of theoretical philosophy. This collection of essays from colleagues, friends and former students reflects the wide variety of Spohns philosophical interests. It contains articles on epistemology (e.g., the nature of knowledge and belief, ranking theory, formal theories of belief and its revision), theory of science (e.g., causality, induction, laws of nature), philosophy of language (e.g., theories of meaning, the semantics of counterfactuals) and philosophy of mind (e.g., intentionality, intuitions, free will) as well as on logic, ontology and game theory. The authors: Ansgar Beckermann, Wolfgang Benkewitz, Bernd Buldt, Ralf Busse, Christoph Fehige, Wolfgang Freitag & Alexandra Zinke, Andr Fuhrmann, Gordian Haas, Volker Halbach, Franz Huber, Andreas Kemmerling, Manfred Kupffer, Hannes Leitgeb, Godehard Link, Arthur Merin, Thomas Mller, Julian Nida-Rmelin, Martine Nida-Rmelin, Hans Rott, Holger Sturm, and Thomas Ede Zimmermann.9781486306145B004045361N499781486306145Hands-On Science50 Kids' Activities from CSIROCSIROSarah Kellett^^David Shaw^^Kath KovacCSIRO Publishing2016-09-30USD16.50128PaperbackPrintedBookEnglishScience: general issues|Science & technology: general interest (Children's/YA)Did you ever wonder why some insects can walk on water? Or how the Ancient Egyptians made mummies? Are you curious about why a guitar sounds different from a flute? Gather some everyday materials from around your home and find out the answers with these 50 kid-approved science activities from CSIRO.

The activities cover electricity and magnetism, sound and light, heat and motion, water and gases, living things, shapes and our planet Earth. Each activity has a simple list of materials required, and uses simple step-by-step instructions and drawings to enable you to create exciting and interesting reactions, experiments and inventions. Fast facts and quiz questions will help you test your knowledge, and youll also find an explanation of the science behind each activity, along with examples of how each principle works in the real world.

Discover more about the world of science by making:

Dancing slime

Rubbery bones

A ping pong ball shooter

Ghastly ghostly photos

Fizzy dinosaur eggs

A lemon battery

Full colour illustrations throughout9780817646738B004043109N949780817646738Power System Dynamics and ControlKwatnyControl EngineeringSpringerBirkhuser Basel2016-07-01EUR94.99XI, 271HardcoverPrintedBookEnglishMathematicsM13070 Systems Theory, ControlThis monograph explores a consistent modeling and analytic framework that provides the tools for an improved understanding of the behavior and the building of efficient models of power systems. It covers the essential concepts for the study of static and dynamic network stability, reviews the structure and design of basic voltage and load-frequency regulators, and offers an introduction to power system optimal control with reliability constraints. A set of Mathematica tutorial notebooks providing detailed solutions of the examples worked-out in the text, as well as a package that will enable readers to work out their own examples and problems, supplements the text.A key premise of the book is that the design of successful control systems requires a deep understanding of the processes to be controlled; as such, the technical discussion begins with a concise review of the physical foundations of electricity and magnetism. This is followed by an overview of nonlinear circuits that include resistors, inductors, capacitors, and memristors, along with an examination of basic circuit mathematical models and formulations. AC power systems are considered next, in which models for their basic components are derived. The following chapters address power system dynamics using both the ordinary differential equation and differential-algebraic equation models of a power network, as well as bifurcation analysis and the behavior of a network as it approaches voltage instability. Two classic control problems voltage regulation and load-frequency control are then described, including the coordination of economic dispatch with load-frequency control. Finally, power system control problems involving operation in highly nonlinear regimes and subjected to discrete failure modes are discussed.Power System Dynamics and Control will appeal to practicing power system engineers, control systems engineers interested in power systems, and graduate students in these areas. Because it provides sufficient information about their modelling and behavior, control engineers without a background in power systems will also find it to be a valuable resource.ResearchPostgraduateMonographXI, 271 p. 112 illus.9781107061576B004033339O19781107061576Auxiliary Polynomials in Number TheoryDavid MasserCambridge Tracts in Mathematics207Cambridge University Press2016-07-01USD140.00386HardcoverPrintedBookEnglishMathematicsNumber theoryThis unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by exploring its application in other areas, such as exponential sums and counting problems in both finite fields and the field of rationals. Throughout the book, the method is explained in a 'molecular' fashion, where key ideas are introduced independently. Each application is the most elementary significant example of its kind and appears with detailed references to subsequent developments, making it accessible to advanced undergraduates as well as Master's students in number theory or related areas. It provides 700 exercises both guiding and challenging, while the broad array of applications should interest professionals in fields from number theory to algebraic geometry.academic researchers, graduate studentsPostgraduate700 exercisesUniversitt Basel, SwitzerlandIntroduction; 1. Prologue; 2. Irrationality I; 3. Irrationality II Mahler's method; 4. Diophantine equations Runge's method; 5. Irreducibility; 6. Elliptic curves Stepanov's method; 7. Exponential sums; 8. Irrationality measures I Mahler; 9. Integervalued entire functions I Plya; 10. Integervalued entire functions II Gramain; 11. Transcendence I Mahler; 12. Irrationality measures II Thue; 13. Transcendence II HermiteLindemann; 14. Heights; 15. Equidistribution Bilu; 16. Height lower bounds Dobrowolski; 17. Height upper bounds; 18. Counting BombieriPila; 19. Transcendence III GelfondSchneiderLang; 20. Elliptic functions; 21. Modular functions; 22. Algebraic independence; Appendix: Nron's square root; References; Index.9781107669482B004033343O19781107669482Discrete Systems and IntegrabilityJ. HietarintaCambridge Texts in Applied Mathematics54Cambridge University Press2016-07-01USD49.99432PaperbackPrintedBookEnglishMathematicsDifferential and integral equations, dynamical systems and controlThis first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bcklund transformations; difference equations and special functions; multidimensional consistency of integrable lattice equations; associated linear problems (Lax pairs); connections with Pad approximants and convergence algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painlev equations; and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exercises and the thorough list of references will benefit upperlevel undergraduate, and beginning graduate students as well as researchers from other disciplines.graduate students, academic researchersPostgraduate68 b/w illus. 2 tables 98 exercisesUniversity of Turku, FinlandPreface; 1. Introduction to difference equations; 2. Discrete equations from transformations of continuous equations; 3. Integrability of PEs; 4. Interlude: lattice equations and numerical algorithms; 5. Continuum limits of lattice PEs; 6. Onedimensional lattices and maps; 7. Identifying integrable difference equations; 8. Hirota's bilinear method; 9. Multisoliton solutions and the Cauchy matrix scheme; 10. Similarity reductions of integrable PEs; 11. Discrete Painlev equations; 12. Lagrangian multiform theory; Appendix A. Elementary difference calculus and difference equations; Appendix B. Theta functions and elliptic functions; Appendix C. The continuous Painlev equations and the Garnier system; Appendix D. Some determinantal identities; References; Index.9781107042728 2016-07-01 Hardcover 432 USD99.99;9781316612781B004033345O19781316612781Examples in Finite Differences, Calculus and ProbabilitySupplement to an Elementary Treatise on Actuarial MathematicsHarry FreemanCambridge University Press2016-06-01USD26.9996PaperbackPrintedBookEnglishMathematicsHistorical mathematical textsOriginally published in 1936, this detailed textbook is a companion to the 1931 publication An Elementary Treatise on Actuarial Mathematics and is intended to provide further examples for learning, practice and revision; 'the inclusion of additional examples in the book as it stood was impracticable, and it appeared that the difficulty could only be overcome by the publication of a supplement to the book'. Contained is a vast selection of examples on finite differences, calculus and probability, in the hope 'that the supplement will prove of value to students, especially to those who have completed the course for the examination'. Notably, most questions purposely hint at solution and refrain from providing a full explanation 'in only a few instances has the complete solution of the question been given'. This engaging book will be of great value to anyone with an interest in mathematics, science and the history of education.graduate students, academic researchersPostgraduatePreface; 1. Finite differences; 2. Differential calculus; 3. Integral calculus; 4. Probability and mean value; Notes and hints for solution of the questions; Answers to the examples.9781316619582B004033338O19781316619582Graded Rings and Graded Grothendieck GroupsRoozbeh HazratLondon Mathematical Society Lecture Note Series435Cambridge University Press2016-06-01USD80.00242PaperbackPrintedBookEnglishMathematicsAlgebraThis study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and Ktheory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.academic researchers, graduate studentsPostgraduate1 b/w illus.University of Western SydneyIntroduction; 1. Graded rings and graded modules; 2. Graded Morita theory; 3. Graded Grothendieck groups; 4. Graded Picard groups; 5. Classification of graded ultramatricial algebras; 6. Graded versus ungraded Ktheory; References; Index.9781107541481B004033341O19781107541481Harmonic and Subharmonic Function Theory on the Hyperbolic BallManfred StollLondon Mathematical Society Lecture Note Series431Cambridge University Press2016-06-01USD80.00243PaperbackPrintedBookEnglishMathematicsReal and complex analysisThis comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper halfspace are included both in the text and in the endofchapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects.academic researchers, graduate studentsPostgraduate100 exercisesUniversity of South CarolinaPreface; 1. Mbius transformations; 2. Mbius selfmaps of the unit ball; 3. Invariant Laplacian, gradient and measure; 4. Hharmonic and Hsubharmonic functions; 5. The Poisson kernel; 6. Spherical harmonic expansions; 7. Hardytype spaces; 8. Boundary behavior of Poisson integrals; 9. The Riesz decomposition theorem; 10. Bergman and Dirichlet spaces; References; Index of symbols; Index.9781107137240B004033340O19781107137240Martingales in Banach SpacesGilles PisierCambridge Studies in Advanced Mathematics155Cambridge University Press2016-06-01USD79.99560HardcoverPrintedBookEnglishMathematicsAbstract analysisThis book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between superreflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of noncommutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this selfcontained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.graduate students, academic researchersPostgraduate11 b/w illus.Texas A & M UniversityIntroduction; Description of the contents; 1. Banach space valued martingales; 2. Radon Nikodm property; 3. Harmonic functions and RNP; 4. Analytic functions and ARNP; 5. The UMD property for Banach spaces; 6. Hilbert transform and UMD Banach spaces; 7. Banach space valued H1 and BMO; 8. Interpolation methods; 9. The strong pvariation of martingales; 10. Uniformly convex of martingales; 11. Superreflexivity; 12. Interpolation and strong pvariation; 13. Martingales and metric spaces; 14. Martingales in noncommutative LP *.9781316611944B003992142O19781316611944Mathematical Tables PartVolume A: Legendre PolynomialsVolume 1Volume 1 AThe Committee For The Calculation of Mathematical TablesCambridge University Press2016-05-01USD15.9946PaperbackPrintedBookEnglishMathematicsHistorical mathematical textsOriginally published in 1946, this book was prepared by the Committee for the Calculation of Mathematical Tables. The text contains a series of tables of Legendre polynomials, created to meet the needs of researchers in various branches of mathematics and physics. The tables were largely designed by Leslie John Comrie (18931950), an astronomer who was integral to the development of mechanical computation. This book will be of value to anyone with an interest in Legendre polynomials and mathematical tables.graduate students, academic researchersPostgraduatePreface; Introduction; Legendre polynomials.http://124.205.215.187/zkImage/catalog/5/9781316611944.jpg9781316611951B003992143O19781316611951Mathematical Tables PartVolume B: The Airy IntegralGiving Tables of Solutions of the Differential Equation: Volume 2Volume 2 BJ. C. P. MillerCambridge University Press2016-05-01USD15.9960PaperbackPrintedBookEnglishMathematicsHistorical mathematical textsOriginally published in 1946, this book was prepared on behalf of the Committee for the Calculation of Mathematical Tables. The text contains a series of tables with data relating to the Airy function. The tables were developed by Jeffrey Charles Percy Miller (190681), a British mathematician who was integral to the development of computing. This book will be of value to anyone with an interest in differential equations and the history of mathematics.graduate students, academic researchersPostgraduateIntroduction; Graph of Ai (x), Bi(x), and related functions; The functions Ai(x) and Bi(x) formulae; Table 1. Ai(x) and Ai'(x). x= 20.00(0.01) + 2.00; Table II. Log10Ai(x) and Ai'(x)/Ai(x). x=0.0(0.1)25.0(1)75; Table III. Zeros and turningvalues of Ai(x) and Ai'(x). The first 50 of each; Table IV. Bi(x) and reduced derivatives. x= 10.0(0.1) + 2.5; Table V. Zeros and turning values of Bi(x) and Bi'(x). The first 20 of each; Table VI. Log10 Bi(x) and Bi'(x)/Bi(x). x= 0.0(0.1)10.0; Auxiliary functions and zeros formulae; Table VII. Auxiliary functions. F(x), y(x), G(x), (x). x=80(1) 30.0(0.1)=2.5.http://124.205.215.187/zkImage/catalog/5/9781316611951.jpg9781316613450B004033342O19781316613450Regular and Irregular Holonomic DModulesDMasaki KashiwaraLondon Mathematical Society Lecture Note Series433Cambridge University Press2016-06-01USD70.00121PaperbackPrintedBookEnglishMathematicsTopology and geometryDmodule theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic Dmodules, provides a unified treatment of both regular and irregular Dmodules. The authors begin by recalling the main results of the theory of indsheaves and subanalytic sheaves, explaining in detail the operations on Dmodules and their tempered holomorphic solutions. As an application, they obtain the RiemannHilbert correspondence for regular holonomic Dmodules. In the second part of the book the authors do the same for the sheaf of enhanced tempered solutions of (not necessarily regular) holonomic Dmodules. Originating from a series of lectures given at the Institut des Hautes tudes Scientifiques in Paris, this book is addressed to graduate students and researchers familiar with the language of sheaves and Dmodules, in the derived sense.academic researchers, graduate studentsPostgraduateKyoto University, JapanIntroduction; 1. A review on sheaves and Dmodules; 2. Indsheaves; 3. Tempered solutions of Dmodules; 4. Regular holonomic Dmodules; 5. Indsheaves on bordered spaces; 6. Enhanced indsheaves; 7. Holonomic Dmodules; 8. Integral transforms; References; List of notations; Index.9781107135550B004033346O19781107135550The G. H. Hardy ReaderDonald J. AlbersSpectrumCambridge University Press2016-06-01USD99.99380HardcoverPrintedBookEnglishMathematicsGeneral and recreational mathematicsG. H. Hardy (18771947) ranks among the great mathematicians of the twentieth century. He did essential research in number theory and analysis, held professorships at Cambridge and Oxford, wrote important textbooks as well as the classic A Mathematician's Apology, and famously collaborated with J. E. Littlewood and Srinivasa Ramanujan. Hardy was a colorful character with remarkable expository skills. This book is a feast of G. H. Hardy's writing. There are selections of his mathematical papers, his book reviews, his tributes to departed colleagues. Some articles are serious, whereas others display a wry sense of humor. And there are recollections by those who knew Hardy, along with biographical and mathematical pieces written explicitly for this collection. Fans of Hardy should find much here to like. And for those unfamiliar with his work, The G. H. Hardy Reader provides an introduction to this extraordinary individual.undergraduate students, graduate students, academic researchersPostgraduate24 b/w illus.Part I. Biography: 1. Hardy's life; 2. The letter from Ramanujan to Hardy, 16 January 1913; 3. A letter from Bertrand Russell to Lady Ottoline Morrell, 2 February 1913; 4. The Indian mathematician Ramanujan; 5. Epilogue from the man who knew infinity; 6. Posters of 'Hardy's years at Oxford'; 7. A glimpse of J. E. Littlewood; 8. A letter from Freeman Dyson to C. P. Snow, 22 May 1967, and two letters from Hardy to Dyson; 9. Miss Gertrude Hardy; Part II. Writings by and about G. H. Hardy: 10. Hardy on writing books; 11. Selections from Hardy's writings; 12. Selections from what others have said about Hardy; Part III. Mathematics: 13. An introduction to the theory of numbers; 14. Prime numbers; 15. The theory of numbers; 16. The Riemann zetafunction and lattice point problems; 17. Four Hardy gems; 18. What is geometry?; 19. The case against the mathematical tripos; 20. The mathematician on cricket; 21. Cricket for the rest of us; 22. A mathematical theorem about golf; 23. Mathematics in wartime; 24. Mathematics; 25. Asymptotic formul in combinatory analysis (excerpts) with S. Ramanujan; 26. A new solution of Waring's problem (excerpts), with J. E. Littlewood; 27. Some notes on certain theorems in higher trigonometry; 28. The Integral _0sin xx dx and further remarks on the integral _0sin xx dx; Part IV. Tributes: 29. Dr. Glaisher and the 'messenger of mathematics'; 30. David Hilbert; 31. Edmund Landau (with H. Heilbronn); 32. Gsta MittagLeffler; Part V. Book Reviews: 33. Osgood's calculus and Johnson's calculus; 34. Hadamard: the psychology of invention in the mathematical field; 35. Hulburt: differential and integral calculus; 36. Bcher: an introduction to the study of integral equations.9781305635111B004041319O19781305635111A First Course in the Finite Element Method 6Daryl L. LoganCengage Learning2016-01-01USD240.956th Edition992HardcoverPrintedBookEnglishEngineeringMechanical EngineeringProvide a simple, direct approach that highlights the basics with A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. The book is written primarily as a basic learning tool for the undergraduate students in civil and mechanical engineering who are primarily interested in stress analysis and heat transfer. The text offers ideal preparation for students who want to apply the finite element method as a tool to solve practical physical problems.1. INTRODUCTION. Brief History. Introduction to Matrix Notation. Role of the Computer. General Steps of the Finite Element Method. Applications of the Finite Element Method. Advantages of the Finite Element Method. Computer Programs for the Finite Element Method. 2. INTRODUCTION TO THE STIFFNESS (DISPLACEMENT) METHOD. Definition of the Stiffness Matrix. Derivation of the Stiffness Matrix for a Spring Element. Example of a Spring Assemblage. Assembling the Total Stiffness Matrix by Superposition (Direct Stiffness Method). Boundary Conditions. Potential Energy Approach to Derive Spring Element Equations. 3. DEVELOPMENT OF TRUSS EQUATIONS. Derivation of the Stiffness Matrix for a Bar Element in Local Coordinates. Selecting Approximation Functions for Displacements. Transformation of Vectors in Two Dimensions. Global Stiffness Matrix for Bar Arbitrarily Oriented in the Plane. Computation of Stress for a Bar in the x-y Plane. Solution of a Plane Truss. Transformation Matrix and Stiffness Matrix for a Bar in Three-Dimensional Space. Use of Symmetry in Structure. Inclined, or Skewed, Supports. Potential Energy Approach to Derive Bar Element Equations. Comparison of Finite Element Solution to Exact Solution for Bar. Galerkin''s Residual Method and Its Use to Derive the One-Dimensional Bar Element Equations. Other Residual Methods and Their Application to a One-Dimensional Bar Problem. Flowchart for Solutions of Three-Dimensional Truss Problems. Computer Program Assisted Step-by-Step Solution for Truss Problem. 4. DEVELOPMENT OF BEAM EQUATIONS. Beam Stiffness. Example of Assemblage of Beam Stiffness Matrices. Examples of Beam Analysis Using the Direct Stiffness Method. Distribution Loading. Comparison of the Finite Element Solution to the Exact Solution for a Beam. Beam Element with Nodal Hinge. Potential Energy Approach to Derive Beam Element Equations. Galerkin''s Method for Deriving Beam Element Equations. 5. FRAME AND GRID EQUATIONS. Two-Dimensional Arbitrarily Oriented Beam Element. Rigid Plane Frame Examples. Inclined or Skewed Supports - Frame Element. Grid Equations. Beam Element Arbitrarily Oriented in Space. Concept of Substructure Analysis. 6. DEVELOPMENT OF THE PLANE STRESS AND STRAIN STIFFNESS EQUATIONS. Basic Concepts of Plane Stress and Plane Strain. Derivation of the Constant-Strain Triangular Element Stiffness Matrix and Equations. Treatment of Body and Surface Forces. Explicit Expression for the Constant-Strain Triangle Stiffness Matrix. Finite Element Solution of a Plane Stress Problem. Rectangular Plane Element (Bilinear Rectangle, Q4). 7. PRACTICAL CONSIDERATIONS IN MODELING: INTERPRETING RESULTS AND EXAMPLES OF PLANE STRESS-STRAIN ANALYSIS. Finite Element Modeling. Equilibrium and Compatibility of Finite Element Results. Convergence of Solution. Interpretation of Stresses. Static Condensation. Flowchart for the Solution of Plane Stress-Strain Problems. Computer Program-Assisted Step-by-Step Solution, Other Models, and Results for Plane Stress-Strain Problems. 8. DEVELOPMENT OF THE LINEAR-STRAIN TRIANGLE EQUATIONS. Derivation of the Linear-Strain Triangular Element Stiffness Matrix and Equations. Example of LST Stiffness Determination. Comparison of Elements. 9. AXISYMMETRIC ELEMENTS. Derivation of the Stiffness Matrix. Solution of an Axisymmetric Pressure Vessel. Applications of Axisymmetric Elements. 10. ISOPARAMETRIC FORMULATION. Isoparametric Formulation of the Bar Element Stiffness Matrix. Isoparametric Formulation of the Plane Quadrilateral Element Stiffness Matrix. Newton-Cotes and Gaussian Quadrature. Evaluation of the Stiffness Matrix and Stress Matrix by Gaussian Quadrature. Higher-Order Shape Functions. 11. THREE-DIMENSIONAL STRESS ANALYSIS. Three-Dimensional Stress and Strain. Tetrahedral Element. Isoparametric Formulation and Hexahedral Element. 12. PLATE BENDING ELEMENT. Basic Concepts of Plate Bending. Derivation of a Plate Bending Element Stiffness Matrix and Equations. Some Plate Element Numerical Comparisons. Computer Solutions for Plate Bending Problems. 13. HEAT TRANSFER AND MASS TRANSPORT. Derivation of the Basic Differential Equation. Heat Transfer with Convection. Typical Units; Thermal Conductivities, K; and Heat-Transfer Coefficients, h. One-Dimensional Finite Element Formulation Using a Variational Method. Two-Dimensional Finite Element Formulation. Line or Point Sources. Three-Dimensional Heat Transfer by the Finite Element Method. One-Dimensional Heat Transfer with Mass Transport. Finite Element Formulation of Heat Transfer with Mass Transport by Galerkin''s Method. Flowchart and Examples of a Heat-Transfer Program. 14. FLUID FLOW IN POROUS MEDIA AND THROUGH HYDRAULIC NETWORKS; AND ELECTRICAL NETWORKS AND ELECTROSTATICS. Derivation of the Basic Differential Equations. One-Dimensional Finite Element Formulation. Two-Dimensional Finite Element Formulation. Flowchart and Example of a Fluid-Flow Program. Electrical Networks. Electrostatics. 15. THERMAL STRESS. Formulation of the Thermal Stress Problem and Examples. 16. STRUCTURAL DYNAMICS AND TIME-DEPENDENT HEAT TRANSFER Dynamics of a Spring-Mass System. Direct Derivation of the Bar Element Equations. Numerical Integration in Time. Natural Frequencies of a One-Dimensional Bar. Time-Dependent One-Dimensional Bar Analysis. Beam Element Mass Matrices and Natural Frequencies. Truss, Plane Frame, Plane Stress, Plane Strain, Axisymmetric, and Solid Element Mass Matrices. Time-Dependent Heat-Transfer. Computer Program Example Solutions for Structural Dynamics. APPENDIX A: MATRIX ALGEBRA. Definition of a Matrix. Matrix Operations. Cofactor of Adjoint Method to Determine the Inverse of a Matrix. Inverse of a Matrix by Row Reduction. Properties of Stiffness Matrices. APPENDIX B: METHODS FOR SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS. Introduction. General Form of the Equations. Uniqueness, Nonuniqueness, and Nonexistence of Solution. Methods for Solving Linear Algebraic Equations. Banded-Symmetric Matrices, Bandwidth, Skyline, and Wavefront Methods. APPENDIX C: EQUATIONS FOR ELASTICITY THEORY. Introduction. Differential Equations of Equilibrium. Strain/Displacement and Compatibility Equations. Stress-Strain Relationships. APPENDIX D: EQUIVALENT NODAL FORCES. APPENDIX E: PRINCIPLE OF VIRTUAL WORK. APPENDIX F: PROPERTIES OF STRUCTURAL STEEL AND ALUMINUM SHAPES. ANSWERS TO SELECTED PROBLEMS. INDEX.9781305637344B004041609O19781305637344A First Course in the Finite Element Method, SI Edition SI 6Daryl L. LoganCengage Learning2016-08-15USD240.956th Edition992PaperbackPrintedBookEnglishEngineeringMechanical EngineeringProvide a simple, direct approach that highlights the basics with A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. The book is written primarily as a basic learning tool for the undergraduate students in civil and mechanical engineering who are primarily interested in stress analysis and heat transfer. The text offers ideal preparation for students who want to apply the finite element method as a tool to solve practical physical problems.1. INTRODUCTION. Brief History. Introduction to Matrix Notation. Role of the Computer. General Steps of the Finite Element Method. Applications of the Finite Element Method. Advantages of the Finite Element Method. Computer Programs for the Finite Element Method. 2. INTRODUCTION TO THE STIFFNESS (DISPLACEMENT) METHOD. Definition of the Stiffness Matrix. Derivation of the Stiffness Matrix for a Spring Element. Example of a Spring Assemblage. Assembling the Total Stiffness Matrix by Superposition (Direct Stiffness Method). Boundary Conditions. Potential Energy Approach to Derive Spring Element Equations. 3. DEVELOPMENT OF TRUSS EQUATIONS. Derivation of the Stiffness Matrix for a Bar Element in Local Coordinates. Selecting Approximation Functions for Displacements. Transformation of Vectors in Two Dimensions. Global Stiffness Matrix for Bar Arbitrarily Oriented in the Plane. Computation of Stress for a Bar in the x-y Plane. Solution of a Plane Truss. Transformation Matrix and Stiffness Matrix for a Bar in Three-Dimensional Space. Use of Symmetry in Structure. Inclined, or Skewed, Supports. Potential Energy Approach to Derive Bar Element Equations. Comparison of Finite Element Solution to Exact Solution for Bar. Galerkin''s Residual Method and Its Use to Derive the One-Dimensional Bar Element Equations. Other Residual Methods and Their Application to a One-Dimensional Bar Problem. Flowchart for Solutions of Three-Dimensional Truss Problems. Computer Program Assisted Step-by-Step Solution for Truss Problem. 4. DEVELOPMENT OF BEAM EQUATIONS. Beam Stiffness. Example of Assemblage of Beam Stiffness Matrices. Examples of Beam Analysis Using the Direct Stiffness Method. Distribution Loading. Comparison of the Finite Element Solution to the Exact Solution for a Beam. Beam Element with Nodal Hinge. Potential Energy Approach to Derive Beam Element Equations. Galerkin''s Method for Deriving Beam Element Equations. 5. FRAME AND GRID EQUATIONS. Two-Dimensional Arbitrarily Oriented Beam Element. Rigid Plane Frame Examples. Inclined or Skewed Supports - Frame Element. Grid Equations. Beam Element Arbitrarily Oriented in Space. Concept of Substructure Analysis. 6. DEVELOPMENT OF THE PLANE STRESS AND STRAIN STIFFNESS EQUATIONS. Basic Concepts of Plane Stress and Plane Strain. Derivation of the Constant-Strain Triangular Element Stiffness Matrix and Equations. Treatment of Body and Surface Forces. Explicit Expression for the Constant-Strain Triangle Stiffness Matrix. Finite Element Solution of a Plane Stress Problem. Rectangular Plane Element (Bilinear Rectangle, Q4). 7. PRACTICAL CONSIDERATIONS IN MODELING: INTERPRETING RESULTS AND EXAMPLES OF PLANE STRESS-STRAIN ANALYSIS. Finite Element Modeling. Equilibrium and Compatibility of Finite Element Results. Convergence of Solution. Interpretation of Stresses. Static Condensation. Flowchart for the Solution of Plane Stress-Strain Problems. Computer Program-Assisted Step-by-Step Solution, Other Models, and Results for Plane Stress-Strain Problems. 8. DEVELOPMENT OF THE LINEAR-STRAIN TRIANGLE EQUATIONS. Derivation of the Linear-Strain Triangular Element Stiffness Matrix and Equations. Example of LST Stiffness Determination. Comparison of Elements. 9. AXISYMMETRIC ELEMENTS. Derivation of the Stiffness Matrix. Solution of an Axisymmetric Pressure Vessel. Applications of Axisymmetric Elements. 10. ISOPARAMETRIC FORMULATION. Isoparametric Formulation of the Bar Element Stiffness Matrix. Isoparametric Formulation of the Plane Quadrilateral Element Stiffness Matrix. Newton-Cotes and Gaussian Quadrature. Evaluation of the Stiffness Matrix and Stress Matrix by Gaussian Quadrature. Higher-Order Shape Functions. 11. THREE-DIMENSIONAL STRESS ANALYSIS. Three-Dimensional Stress and Strain. Tetrahedral Element. Isoparametric Formulation and Hexahedral Element. 12. PLATE BENDING ELEMENT. Basic Concepts of Plate Bending. Derivation of a Plate Bending Element Stiffness Matrix and Equations. Some Plate Element Numerical Comparisons. Computer Solutions for Plate Bending Problems. 13. HEAT TRANSFER AND MASS TRANSPORT. Derivation of the Basic Differential Equation. Heat Transfer with Convection. Typical Units; Thermal Conductivities, K; and Heat-Transfer Coefficients, h. One-Dimensional Finite Element Formulation Using a Variational Method. Two-Dimensional Finite Element Formulation. Line or Point Sources. Three-Dimensional Heat Transfer by the Finite Element Method. One-Dimensional Heat Transfer with Mass Transport. Finite Element Formulation of Heat Transfer with Mass Transport by Galerkin''s Method. Flowchart and Examples of a Heat-Transfer Program. 14. FLUID FLOW IN POROUS MEDIA AND THROUGH HYDRAULIC NETWORKS; AND ELECTRICAL NETWORKS AND ELECTROSTATICS. Derivation of the Basic Differential Equations. One-Dimensional Finite Element Formulation. Two-Dimensional Finite Element Formulation. Flowchart and Example of a Fluid-Flow Program. Electrical Networks. Electrostatics. 15. THERMAL STRESS. Formulation of the Thermal Stress Problem and Examples. 16. STRUCTURAL DYNAMICS AND TIME-DEPENDENT HEAT TRANSFER Dynamics of a Spring-Mass System. Direct Derivation of the Bar Element Equations. Numerical Integration in Time. Natural Frequencies of a One-Dimensional Bar. Time-Dependent One-Dimensional Bar Analysis. Beam Element Mass Matrices and Natural Frequencies. Truss, Plane Frame, Plane Stress, Plane Strain, Axisymmetric, and Solid Element Mass Matrices. Time-Dependent Heat-Transfer. Computer Program Example Solutions for Structural Dynamics. APPENDIX A: MATRIX ALGEBRA. Definition of a Matrix. Matrix Operations. Cofactor of Adjoint Method to Determine the Inverse of a Matrix. Inverse of a Matrix by Row Reduction. Properties of Stiffness Matrices. APPENDIX B: METHODS FOR SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS. Introduction. General Form of the Equations. Uniqueness, Nonuniqueness, and Nonexistence of Solution. Methods for Solving Linear Algebraic Equations. Banded-Symmetric Matrices, Bandwidth, Skyline, and Wavefront Methods. APPENDIX C: EQUATIONS FOR ELASTICITY THEORY. Introduction. Differential Equations of Equilibrium. Strain/Displacement and Compatibility Equations. Stress-Strain Relationships. APPENDIX D: EQUIVALENT NODAL FORCES. APPENDIX E: PRINCIPLE OF VIRTUAL WORK. APPENDIX F: PROPERTIES OF STRUCTURAL STEEL AND ALUMINUM SHAPES. ANSWERS TO SELECTED PROBLEMS. INDEX.9781937585228B001526088O19781937585228ALGEBRA ESENTIALSDavid A. SantosCengage Learning2015-12-01USD39.95PaperbackPrintedBookEnglishMathematicsIntroductory Mathematics() http://124.205.215.187/zkImage/catalog/3/9781937585228.jpg9781305657861B004041277O19781305657861Applied Calculus for the Managerial, Life, and Social Sciences 10Soo T. TanCengage Learning2016-01-01USD335.9510th Edition896HardcoverPrintedBookEnglishMathApplied MathWell known for accuracy, Soo Tans APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Ninth Edition balances applications, pedagogy, and technology to provide students the context they need to stay motivated in the course and interested in the material. Accessible for majors and non-majors alike, the text uses an intuitive approach that introduces abstract concepts through examples drawn from common, real-life experiences to which students can relate. It also draws applications from readers fields of interest. In addition, insightful Portfolios highlight the careers of real people and discuss how they incorporate math into their daily professional activities. Numerous exercises ensure that students have a solid understanding of concepts before advancing to the next topic. Algebra review notes, keyed to the review chapter Preliminaries, appear where and when students need them. The texts exciting array of supplements, equips students with extensive learning support to help them make the most of their study time.1. PRELIMINARIES. Precalculus Review I. Precalculus Review II. The Cartesian Coordinate System. Straight Lines. 2. FUNCTIONS, LIMITS, AND THE DERIVATIVE. Functions and Their Graphs. The Algebra of Functions. Functions and Mathematical Models. Limits. One-Sided Limits and Continuity. The Derivative. 3. DIFFERENTIATION. Basic Rules of Differentiation. The Product and Quotient Rules. The Chain Rule. Marginal Functions in Economics. Higher-Order Derivatives. Implicit Differentiation and Related Rates. Differentials. 4. APPLICATIONS OF THE DERIVATIVE. Applications of the First Derivative. Applications of the Second Derivative. Curve Sketching. Optimization I. Optimization II. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Compound Interest. Differentiation of Exponential Functions. Differentiation of Logarithmic Functions. Exponential Functions as Mathematical Models. 6. INTEGRATION. Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Evaluating Definite Integrals. Area between Two Curves. Applications of the Definite Integral to Business and Economics. 7. ADDITIONAL TOPICS IN INTEGRATION. Integration by Parts. Integration Using Tables of Integrals. Numerical Integration. Improper Integrals. Volumes of Solids of Revolution. 8. CALCULUS OF SEVERAL VARIABLES. Functions of Several Variables. Partial Derivatives. Maxima and Minima of Functions of Several Variables. The Method of Least Squares. Constrained Maxima and Minima and the Method of Lagrange Multipliers. Total Differentials. Double Integrals. Applications of Double Integrals. 9. DIFFERENTIAL EQUATIONS. Differential Equations. Separation of Variables. Applications of Separable Differential Equations. Approximate Solutions of Differential Equations. 10. PROBABILITY AND CALCULUS. Probability Distributions of Random Variables. Expected Value and Standard Deviation. Normal Distributions. 11. TAYLOR POLYNOMIALS AND INFINITE SERIES. Taylor Polynomials. Infinite Sequences. Infinite Series. Series with Positive Numbers. Power Series and Taylor Series. More on Taylor Series. Newtons Method. 12. TRIGONOMETRIC FUNCTIONS. Measurement of Angles. The Trigonometric Functions. Differentiation of Trigonometric Functions. Integration of Trigonometric Functions APPENDIX A. The Inverse of a Function. The Graphs of Inverse Functions. Functions That Have Inverses. Finding the Inverse of a Function. APPENDIX B. Indeterminate Forms and lHpitals Rule. The Indeterminate Forms 0/0 and infinity/infinity. APPENDIX C. The Standard Normal Distribution. Answers to Odd-Numbered Exercises. Index.9781285740621B003178744O19781285740621Calculus 8James StewartCengage Learning2015-05-19USD324.958th Edition1392HardcoverPrintedBookEnglishMathCalculusJames Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence.Preface. To the Student. Diagnostic Tests. A Preview of Calculus. 1. FUNCTIONS AND LIMITS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Review. Principles of Problem Solving. 2. DERIVATIVES. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Differentiation Formulas. Applied Project: Building a Better Roller Coaster. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Laboratory Project: Families of Implicit Curves. Rates of Change in the Natural and Social Sciences. Related Rates. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Review. Problems Plus. 3. APPLICATION OF DIFFERENTIATION. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. The Mean Value Theorem. How Derivatives Affect the Shape of a Graph. Limits at Infinity; Horizontal Asymptotes. Summary of Curve Sketching. Graphing with Calculus and Calculators. Optimization Problems. Applied Project: The Shape of a Can. Applied Project: Planes and Birds: Minimizing Energy. Newton's Method. Antiderivatives. Review. Problems Plus. 4. INTEGRALS. Areas and Distances. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Review. Problems Plus. 5. APPLICATIONS OF INTEGRATION. Areas Between Curves. Applied Project: The Gini Index. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Review. Problems Plus. 6. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS. Inverse Functions. Instructors may cover either Sections 6.2-6.4 or Sections 6.2*-6.4* Exponential Functions and Their Derivatives. Logarithmic Functions. Derivatives of Logarithmic Functions. The Natural Logarithmic Function The Natural Exponential Function. General Logarithmic and Exponential Functions. Exponential Growth and Decay. Applied Project: Controlling Red Blood Cell Loss During Surgery. Inverse Trigonometric Functions. Applied Project: Where to Sit at the Movies. Hyperbolic Functions. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l' Hospital's Rule Review. Problems Plus. 7. TECHNIQUES OF INTEGRATION. Integration by Parts. Trigonometric Integrals. Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Strategy for Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Problems Plus. 8. FURTHER APPLICATIONS OF INTEGRATION. Arc Length. Discovery Project: Arc Length Contest. Area of a Surface of Revolution. Discovery Project: Rotating on a Slant. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Problems Plus. 9. DIFFERENTIAL EQUATIONS. Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which is Faster, Going Up or Coming Down? Models for Population Growth. Linear Equations. Predator-Prey Systems. Review. Problems Plus. 10. PARAMETRIC EQUATIONS AND POLAR COORDINATES. Curves Defined by Parametric Equations. Laboratory Project: Running Circles Around Circles. Calculus with Parametric Curves. Laboratory Project: Bzier Curves. Polar Coordinates. Laboratory Project: Families of Polar Curves. Areas and Lengths in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Review. Problems Plus. 11. INFINITE SEQUENCES AND SERIES. Sequences. Laboratory Project: Logistic Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series. Absolute Convergence and the Ratio and Root Tests. Strategy for Testing Series. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Problems Plus. 12. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Laboratory Project: Putting 3D in Perspective Cylinders and Quadric Surfaces. Review. Problems Plus. 13. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler's Laws. Review. Problems Plus. 14. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximation. Applied Project: The Speedo LZR Racer Suit. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization. Review. Problems Plus. 15. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical Coordinates. Discovery Project: The Intersection of Three Cylinders. Triple Integrals in Spherical Coordinates. Applied Project: Roller Derby. Change of Variables in Multiple Integrals. Review. Problems Plus. 16. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review. Problems Plus. 17. SECOND-ORDER DIFFERENTIAL EQUATIONS. Second-Order Linear Equations. Nonhomogeneous Linear Equations. Applications of Second-Order Differential Equations. Series Solutions. Review. APPENDIXES. A Numbers, Inequalities, and Absolute Values. B Coordinate Geometry and Lines. C Graphs of Second-Degree Equations. D Trigonometry. E Sigma Notation. F Proofs of Theorems. G Complex Numbers. H Answers to Odd-Numbered Exercises. INDEX.http://124.205.215.187/zkImage/catalog/0/9781285740621.JPG9781305860919B004041290O19781305860919CalculusAn Applied Approach 10Ron LarsonCengage Learning2016-01-01USD338.9510th Edition864HardcoverPrintedBookEnglishMathApplied MathDesigned specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, Tenth Edition, motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students diverse interests. The Tenth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features--from algebra review to study tips--continue to provide extra guidance and practice. The companion website, LarsonAppliedCalculus.com, offers free access to multiple tools and resources to supplement students learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text.1. Functions, Graphs, and Limits. 2. Differentiation. 3. Applications of the Derivative. 4. Exponential and Logarithmic Functions. 5. Integration and Its Applications. 6. Techniques of Integration. 7. Functions of Several Variables. 8. Trigonometric Functions. 9. Probability and Calculus. 11. Differential Equations. Appendix A. Precalculus Review. The Real Number Line and Order. Absolute Value of a Real Number. Exponents and Radicals. Factoring Polynomials. Fractions and Rationalization. Appendix B. Alternative Introduction to the Fundamental Theorem of Calculus. Appendix C. Formulas.9781305860926B004041291O19781305860926CalculusAn Applied Approach, Brief 10Ron LarsonCengage Learning2016-01-01USD306.9510th Edition640HardcoverPrintedBookEnglishMathApplied MathDesigned specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, BRIEF, Tenth Edition, motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students diverse interests. The Tenth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features--from algebra review to study tips--continue to provide extra guidance and practice. The companion website, LarsonAppliedCalculus.com, offers free access to multiple tools and resources to supplement students learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text.1. FUNCTIONS, GRAPHS, AND LIMITS. The Cartesian Plane and the Distance Formula. Graphs of Equations. Lines in the Plane and Slope. Functions. Limits. Continuity. 2. DIFFERENTIATION. The Derivative and the Slope of a Graph. Some Rules for Differentiation. Rates of Change: Velocity and Marginals. The Product and Quotient Rules. The Chain Rule. Higher-Order Derivatives. Implicit Differentiation. Related Rates. 3. APPLICATIONS OF THE DERIVATIVE. Increasing and Decreasing Functions. Extrema and the First-Derivative Test. Concavity and the Second-Derivative Test. Optimization Problems. Business and Economics Applications. Asymptotes. Curve Sketching: A Summary. Differentials and Marginal Analysis. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Natural Exponential Functions. Derivatives of Exponential Functions. Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growth and Decay. 5. INTEGRATION AND ITS APPLICATIONS. Antiderivatives and Indefinite Integrals. Integration by Substitution and the General Power Rule. Exponential and Logarithmic Integrals. Area and the Fundamental Theorem of Calculus. The Area of a Region Bounded by Two Graphs. The Definite Integral as the Limit of a Sum. 6. TECHNIQUES OF INTEGRATION. Integration by Parts and Present Value. Integration Tables. Numerical Integration. Improper Integrals. 7. FUNCTIONS OF SEVERAL VARIABLES. The Three-Dimensional Coordinate System. Surfaces in Space. Functions of Several Variables. Partial Derivatives. Extrema of Functions of Two Variables. Lagrange Multipliers. Least Squares Regression Analysis. Double Integrals and Area in the Plane. Applications of Double Integrals.9781285741550B003178743O19781285741550CalculusEarly Transcendentals 8James StewartCengage Learning2015-02-04USD328.958th Edition1368HardcoverPrintedBookEnglishMathCalculusJames Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of CALCULUS: EARLY TRANSCENDENTALS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence.() ^^QA303.2(LOC)Preface. To the Student. Diagnostic Tests. A Preview of Calculus. 1. FUNCTIONS AND MODELS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Exponential Functions. Inverse Functions and Logarithms. Review. Principles of Problem Solving. 2. LIMITS AND DERIVATIVES. The Tangent and Velocity Problems.The Limit of a Function.Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Limits at Infinity; Horizontal Asymptotes. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents.The Derivative as a Function. Review. Problems Plus. 3. DIFFERENTIATION RULES. Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Laboratory Project: Families of Implicit Curves. Derivatives of Logarithmic Functions. Rates of Change in the Natural and Social Sciences. Exponential Growth and Decay. Applied Project: Controlling Red Blood Cell Loss During Surgery. Related Rates. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Hyperbolic Functions. Review. Problems Plus. 4. APPLICATIONS OF DIFFERENTIATION. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. The Mean Value Theorem. How Derivatives Affect the Shape of a Graph. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. Summary of Curve Sketching. Graphing with Calculus and Calculators. Optimization Problems. Applied Project: The Shape of a Can. Applied Project: Planes and Birds: Minimizing Energy. Newton's Method. Antiderivatives. Review. Problems Plus. 5. INTEGRALS. Areas and Distances. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Review. Problems Plus. 6. APPLICATIONS OF INTEGRATION. Areas Between Curves. Applied Project: The Gini Index. Volume. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Applied Project: Where to Sit at the Movies. Review. Problems Plus. 7. TECHNIQUES OF INTEGRATION. Integration by Parts. Trigonometric Integrals. Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Strategy for Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Problems Plus. 8. FURTHER APPLICATIONS OF INTEGRATION. Arc Length. Discovery Project: Arc Length Contest. Area of a Surface of Revolution. Discovery Project: Rotating on a Slant. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Problems Plus. 9. DIFFERENTIAL EQUATIONS. Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which is Faster, Going Up or Coming Down? Models for Population Growth. Linear Equations. Predator-Prey Systems. Review. Problems Plus. 10. PARAMETRIC EQUATIONS AND POLAR COORDINATES. Curves Defined by Parametric Equations. Laboratory Project: Families of Hypocycloids. Calculus with Parametric Curves. Laboratory Project: Bzier Curves. Polar Coordinates. Laboratory Project: Families of Polar Curves. Areas and Lengths in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Review. Problems Plus. 11. INFINITE SEQUENCES AND SERIES. Sequences. Laboratory Project: Logistic Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series. Absolute Convergence and the Ratio and Root Tests. Strategy for Testing Series. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Problems Plus. 12. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Cylinders and Quadric Surfaces. Review. Problems Plus. 13. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler's Laws. Review. Problems Plus. 14. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximation. Applied Project: The Speedo LZR Race Suit. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization. Review. Problems Plus. 15. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical Coordinates. Discovery Project: The Intersection of Three Cylinders. Triple Integrals in Spherical Coordinates. Applied Project: Roller Derby. Change of Variables in Multiple Integrals. Review. Problems Plus. 16. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review. Problems Plus. 17. SECOND-ORDER DIFFERENTIAL EQUATIONS. Second-Order Linear Equations. Nonhomogeneous Linear Equations. Applications of Second-Order Differential Equations. Series Solutions. Review. Problems Plus. APPENDIXES. A Numbers, Inequalities, and Absolute Values. B Coordinate Geometry and Lines. C Graphs of Second-Degree Equations. D Trigonometry. E Sigma Notation. F Proofs of Theorems. G The Logarithm Defined as an Integral. H Complex Numbers. I Answers to Odd-Numbered Exercises. INDEX.http://124.205.215.187/zkImage/catalog/0/9781285741550.JPG9780176509910B004041825O19780176509910CalculusFear No More 2Miroslav LovricCengage LearningNelson Education2015-07-09USD40.952nd Edition208PaperbackPrintedBookEnglishMathCalculusCalculus: Fear No More provides a thorough review of basic concepts, formulas, algorithms and techniques in arithmetic, algebra, geometry and functions. It is a thorough, up-to-date review of basic high school mathematics that students need to succeed in college/university math courses. Calculus: Fear No More is perfect for those in need of remediation prior to entering college/university.What Is in This Book? How Do I Use This Book? Why Background Knowledge Matters How Does Math in University Differ from High School Math? How To Be Successful in Math What Else Is Important? Value Your Lecture/Tutorial Notes Learning from Internet Transition to University Mathematics Chapter 1: Numbers and Operations Chapter 2: Basic Algebra Chapter 3: Basic Facts and Formulas from Geometry Chapter 4: Equations and Inequalities Chapter 5: Elements of Analytic Geometry Chapter 6: Functions Chapter 7: Trigonometric Functions Chapter 8: Exponential and Logarithmic Functions Chapter 9: Mathematical Language; Mathematical Thinking and Logic9781937585242B001526089O19781937585242CALCULUS ESSENTIALS (MY MATH ESSENTIALS)Cengage Learning2016-09-15USD49.95PaperbackPrintedBookEnglish9781305652231B004041272O19781305652231College Algebra 12R. David GustafsonCengage Learning2016-01-01USD306.9512th Edition848HardcoverPrintedBookEnglishMathCollege AlgebraClearly written and focused for success, the Twelfth Edition of Gustafson and Hughes popular book, COLLEGE ALGEBRA, provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors combine carefully selected pedagogical features and patient explanations to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills theyll need in future courses and in everyday life. Retaining the mathematical precision instructors have come to expect, the authors have focused on making this new edition more modern to better illustrate to students the importance of math in their world.0. A REVIEW OF BASIC ALGEBRA. Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials. Factoring Polynomials. Rational Expressions. 1. EQUATIONS AND INEQUALITIES. Linear Equations and Rational Equations. Applications of Linear Equations. Complex Numbers. Quadratic Equations. Applications of Quadratic Equations. Other Types of Equations. Inequalities. Absolute Value. 2. FUNCTIONS AND GRAPHS. Functions and Functional Notation. Rectangular Coordinate System and Graphing Lines. Linear Functions and Slope. Writing and Graphing Equations of Lines. Graphs of Equations and Circles. Proportion and Variation. 3. FUNCTIONS. Graphs of Functions. Transformations of the Graphs of Functions. Piecewise-Defined Functions and Greatest-Integer Functions. Operations on Functions. Inverse functions. 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Quadratic Functions. Polynomial Functions. Synthetic Division; Remainder and Factor Theorems. Decartes Rule of Signs and the Intermediate Value Theorem. Zeros of Polynomial Functions. Rational Functions. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions and Their Graphs. Applications of Exponential Functions. Logarithmic Functions and Their Graphs. Applications of Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. 6. LINEAR SYSTEMS. Systems of Linear Equations. Gaussian Elimination and Matrix Methods. Matrix Algebra. Matrix Inversion. Determinants. Partial Fractions. Graphs of Inequalities. Linear Programming. 7. CONIC SECTIONS AND QUADRATIC SYSTEMS. The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. 8. SEQUENCES, SERIES, AND PROBABILITY. The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability. APPENDIX I A PROOF OF THE BINOMIAL THEOREM.9781305071728B003178608O19781305071728College AlgebraReal Mathematics, Real People 7Ron LarsonCengage Learning2015-01-21USD306.957th Edition736HardcoverPrintedBookEnglishMathPre CalculusCOLLEGE ALGEBRA: REAL MATHEMATICS, REAL PEOPLE is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Retaining the series' emphasis on student support, selected examples throughout the text include notations directing students to previous sections to review concepts and skills needed to master the material at hand. The book also achieves accessibility through careful writing and designincluding examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its subtitle, this significant revision focuses more than ever on showing students the relevance of mathematics in their lives and future careers.QA152.3(LOC)512.9(LOC)CHAPTER P PREREQUISITES. P.1 Real Numbers. P.2 Exponents and Radicals. P.3 Polynomials and Factoring. P.4 Rational Expressions. P.5 The Cartesian Plane. P.6 Representing Data Graphically. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 1. FUNCTIONS AND THEIR GRAPHS. Introduction to Library of Functions. 1.1 Graphs of Equations. 1.2 Lines in the Plane. 1.3 Functions. 1.4 Graphs of Functions. 1.5 Shifting, Reflecting, and Stretching Graphs. 1.6 Combinations of Functions. 1.7 Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 2. SOLVING EQUATIONS AND INEQUALITIES. 2.1 Linear Equations and Problem Solving. 2.2 Solving Equations Graphically. 2.3 Complex Numbers. 2.4 Solving Quadratic Equations Algebraically. 2.5 Solving Other Types of Equations Algebraically. 2.6 Solving Inequalities Algebraically and Graphically. 2.7 Linear Models and Scatter Plots. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters P2. Proofs in Mathematics. Progressive Summary (Ch P2). 3. POLYNOMIAL AND RATIONAL FUNCTIONS. 3.1 Quadratic Functions. 3.2 Polynomial Functions of Higher Degree. 3.3 Real Zeros of Polynomial Functions. 3.4 The Fundamental Theorem of Algebra. 3.5 Rational Functions and Asymptotes. 3.6 Graphs of Rational Functions. 3.7 Quadratic Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. 4.1 Exponential Functions and Their Graphs. 4.2 Logarithmic Functions and Their Graphs. 4.3 Properties of Logarithms. 4.4 Solving Exponential and Logarithmic Equations. 4.5 Exponential and Logarithmic Models. 4.6 Nonlinear Models. Chapter Summary. Review Exercises. Chapter Test. Library of Parent Functions Review. Proofs in Mathematics. Progressive Summary (Ch P4). 5. LINEAR SYSTEMS AND MATRICES. 5.1 Solving Systems of Equations. 5.2 Systems of Linear Equations in Two Variables. 5.3 Multivariable Linear Systems. 5.4 Matrices and Systems of Equations. 5.5 Operations with Matrices. 5.6 The Inverse of a Square Matrix. 5.7 The Determinant of a Square Matrix. 5.8 Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 35. Proofs in Mathematics. 6. SEQUENCES, SERIES, AND PROBABILITY. 6.1 Sequences and Series. 6.2 Arithmetic Sequences and Partial Sums. 6.3 Geometric Sequences and Series. 6.4 The Binomial Theorem. 6.5 Counting Principles. 6.6 Probability. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 7. CONICS AND PARAMETRIC EQUATIONS. 7.1 Circles and Parabolas. 7.2 Ellipses. 7.3 Hyperbolas. 7.4 Parametric Equations. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 67. Proofs in Mathematics. Progressive Summary (Ch P7). Appendix A: Technology Support Guide. Appendix B: Concepts in Statistics (WEB only). B.1 Measures of Central Tendency and Dispersion. B.2 Least Squares Regression. Appendix C: Variation (WEB only). Appendix D: Solving Linear Equations and Inequalities (WEB only). Appendix E: Systems of Inequalities (WEB only). E.1 Solving Systems of Inequalities. E.2 Linear Programming. Appendix F: Mathematical Induction (WEB only).http://124.205.215.187/zkImage/catalog/0/9781305071728.jpg9781305657960B004041278O19781305657960Contemporary Abstract Algebra 9Joseph A. GallianCengage Learning2016-01-01USD203.959th Edition656HardcoverPrintedBookEnglishMathAdvanced MathematicsCONTEMPORARY ABSTRACT ALGEBRA, NINTH EDITION provides a solid introduction to the traditional topics in abstract algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings giving the subject a current feel which makes the content interesting and relevant for students.PART I: INTEGERS AND EQUIVALENCE RELATIONS. Preliminaries. Properties of Integers. Complex Numbers. Modular Arithmetic. Mathematical Induction. Equivalence Relations. Functions (Mappings). Exercises. PART I!: GROUPS. 1. Introduction to Groups. Symmetries of a Square. The Dihedral Groups. Exercises. Biography of Neils Abel 2. Groups. Definition and Examples of Groups. Elementary Properties of Groups. Historical Note. Exercises. 3. Finite Groups; Subgroups. Terminology and Notation. Subgroup Tests. Examples of Subgroups. Exercises. 4. Cyclic Groups. Properties of Cyclic Groups. Classification of Subgroups of Cyclic Groups. Exercises. Biography of J. J. Sylvester. Supplementary Exercises for Chapters 1-4. 5. Permutation Groups. Definition and Notation. Cycle Notation. Properties of Permutations. A Check-Digit Scheme Based on D5. Exercises. Biography of Augustin Cauchy. 6. Isomorphisms. Motivation. Definition and Examples. Cayleys Theorem. Properties of Isomorphisms. Automorphisms. Exercises. Biography of Arthur Cayley. 7. Cosets and Lagranges Theorem. Properties of Cosets. Lagranges Theorem and Consequences. An Application of Cosets to Permutation Groups. The Rotation Group of a Cube and a Soccer Ball. Exercises. Biography of Joseph Lagrange. 8. External Direct Products. Definition and Examples. Properties of External Direct Products. The Group of Units Modulo n as an External Direct Product. Applications. Exercises. Biography of Leonard Adleman. Supplementary Exercises for Chapters 5-8 9. Normal Subgroups and Factor Groups. Normal Subgroups. Factor Groups. Applications of Factor Groups. Internal Direct Products. Exercises. Biography of variste Galois 10. Group Homomorphisms. Definition and Examples. Properties of Homomorphisms. The First Isomorphism Theorem. Exercises. Biography of Camille Jordan. 11. Fundamental Theorem of Finite Abelian Groups. The Fundamental Theorem. The Isomorphism Classes of Abelian Groups. Proof of the Fundamental Theorem. Exercises. Supplementary Exercises for Chapters 9-11. PART III: RINGS. 12. Introduction to Rings. Motivation and Definition. Examples of Rings. Properties of Rings. Subrings. Exercises. Biography of I. N. Herstein. 13. Integral Domains. Definition and Examples. Fields. Characteristic of a Ring. Exercises. Biography of Nathan Jacobson. 14. Ideals and Factor Rings. Ideals. Factor Rings. Prime Ideals and Maximal Ideals. Exercises. Biography of Richard Dedekind. Biography of Emmy Noether. Supplementary Exercises for Chapters 12-14. 15. Ring Homomorphisms. Definition and Examples. Properties of Ring Homomorphisms. The Field of Quotients. Exercises. 16. Polynomial Rings. Notation and Terminology. The Division Algorithm and Consequences. Exercises. Biography of Saunders Mac Lane. 17. Factorization of Polynomials. Reducibility Tests. Irreducibility Tests. Unique Factorization in Z[[]x]. Weird Dice: An Application of Unique Factorization. Exercises. Biography of Serge Lang. 18. Divisibility in Integral Domains. Irreducibles, Primes. Historical Discussion of Fermats Last Theorem. Unique Factorization Domains. Euclidean Domains. Exercises. Biography of Sophie Germain. Biography of Andrew Wiles. Supplementary Exercises for Chapters 15-18. PART IV: FIELDS. 19. Vector Spaces. Definition and Examples. Subspaces. Linear Independence. Exercises. Biography of Emil Artin. Biography of Olga Taussky-Todd. 20. Extension Fields. The Fundamental Theorem of Field Theory. Splitting Fields. Zeros of an Irreducible Polynomial. Exercises. Biography of Leopold Kronecker. 21. Algebraic Extensions. Characterization of Extensions. Finite Extensions. Properties of Algebraic Extensions Exercises. Biography of Irving Kaplansky. 22. Finite Fields. Classification of Finite Fields. Structure of Finite Fields. Subfields of a Finite Field. Exercises. Biography of L. E. Dickson. 23. Geometric Constructions. Historical Discussion of Geometric Constructions. Constructible Numbers. Angle-Trisectors and Circle-Squarers. Exercises. Supplementary Exercises for Chapters 19-23. PART V: SPECIAL TOPICS. 24. Sylow Theorems. Conjugacy Classes. The Class Equation. The Probability That Two Elements Commute. The Sylow Theorems. Applications of Sylow Theorems. Exercises. Biography of Ludvig Sylow. 25. Finite Simple Groups. Historical Background. Nonsimplicity Tests. The Simplicity of A5. The Fields Medal. The Cole Prize. Exercises. Biography of Michael Aschbacher. Biography of Daniel Gorenstein. Biography of John Thompson. 26. Generators and Relations. Motivation. Definitions and Notation. Free Group. Generators and Relations. Classification of Groups of Order up to 15. Characterization of Dihedral Groups. Realizing the Dihedral Groups with Mirrors. Exercises. Biography of Marshall Hall, Jr.. 27. Symmetry Groups. Isometries. Classification of Finite Plane Symmetry Groups. Classification of Finite Group of Rotations in R. Exercises. 28. Frieze Groups and Crystallographic Groups. The Frieze Groups. The Crystallographic Groups. Identification of Plane Periodic Patterns. Exercises. Biography of M. C. Escher. Biography of George Plya. Biography of John H. Conway. 29. Symmetry and Counting. Motivation. Burnsides Theorem. Applications. Group Action. Exercises. Biography of William Burnside. 30. Cayley Digraphs of Groups. Motivation. The Cayley Digraph of a Group. Hamiltonian Circuits and Paths. Some Applications. Exercises. Biography of William-Rowan Hamilton. Biography of Paul Erds. 31. Introduction to Algebraic Coding Theory. Motivation. Linear Codes. Parity-Check Matrix Decoding. Coset Decoding. Historical Note: The Ubiquitous Reed-Solomon Codes. Exercises. Biography of Richard W. Hamming. Biography of Jessie MacWilliams. Biography of Vera Pless. 32. An Introduction to Galois Theory. Fundamental Theorem of Galois Theory. Solvability of Polynomials by. Radicals. Insolvability of a Quintic. Exercises. Biography of Philip Hall. 33. Cyclotomic Extensions. Motivation. Cyclotomic Polynomials. The Constructible Regular n-gons. Exercises. Biography of Carl Friedrich Gauss. Biography of Manjul Bhargava. Supplementary Exercises for Chapters 24-33.9781119004110B004042604O19781119004110Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and ApplicationsWileyJohn Wiley & SonsWiley2016-08-05USD99.95288HardcoverPrintedBookEnglishCalculusComplete with comprehensive results and solutions, Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications details newly developed methods of fuzzy computational techniques needed to model solve uncertainty. Fuzzy differential equations are solved via various analytical and numerical methodologies, and this book presents their importance for problem solving and prototype engineering design and systems testing in uncertain environments. In recent years, modeling of differential equations for arbitrary and fractional order systems has been increasing in its applicability, and as such, the authors feature examples from a variety of disciplines to illustrate the practicality and importance of the methods within physics, applied mathematics, engineering, and chemistry, to name a few. The fundamentals of fractional differential equations and the basic preliminaries of fuzzy fractional differential equations are first introduced, followed by numerical solutions, comparisons of various methods, and simulated results. In addition, fuzzy ordinary, partial, linear, and nonlinear fractional differential equations are addressed to solve uncertainty in physical systems. In addition, this book features:15.56 x 23.50 cmhttp://www.wileyeurope.com/remtitle.cgi?111900411X9781118952832B004042621O19781118952832Linear Models, 2nd Edition 2Marvin H. J. GruberWiley Series in Probability and StatisticsJohn Wiley & SonsWiley2016-08-05USD149.952nd Edition832HardcoverPrintedBookEnglishApplied Probability & StatisticsThis book defines a broad spectrum of statistical linear models that is useful in the analysis of data. Considerable rewriting was done to make the book more reader friendly than the first edition. The book is written in such a way as to be self-contained for a person with a background in basic statistics, calculus and linear algebra. The text includes numerous applied illustrations, numerical examples, and exercises, now augmented with computer outputs in SAS and R. Also new to this edition is: A greatly improved internal design and format A short introductory chapter to ease understanding of the order in which topics are taken up Discussion of additional topics including multiple comparisons and shrinkage estimators Enhanced discussions of generalized inverses, the MINQUE, Bayes and Maximum Likelihood estimators for estimating variance components Furthermore, in this edition the second author adds many pedagogical elements throughout the book. These include numbered examples, end-of-example and end-of-proof symbols, selected hints and solutions to exercises available on the books website, and references to "big data" in everyday life.15.56 x 23.50 cmhttp://www.wileyeurope.com/remtitle.cgi?11189528399781119240761B004042623O19781119240761SAS Data Analytic Development: Dimensions of Software QualityTroy Martin HughesWiley and SAS Business SeriesJohn Wiley & SonsWiley2016-08-24USD74.95500HardcoverPrintedBookEnglishComputational & Graphical StatisticsThis book is intended to be industry-agnostic and will feature examples from a broad spectrum of industries and topics with the intent of expressing relevancy to as many readers as possible. In the introductory chapter that discusses quality, the author discusses aspects of code quality that can be instilled at the industry or organizational levels. One example will be mention of FDA regulations that positively influence certain aspects of code quality. The intent is to demonstrate that an industry or organization may require or facilitate certain attributes of code quality (or, in some cases, perpetuate bad habits or practice) and that a more holistic view of quality can be gained by surveying practices across several industries and organizations. Other examples of how specific industries can positively influence coding practices will include the use of SAS in research, financial institutions, emergency medicine, and national security. The book will be example-driven (using Base SAS) with a few chapters that point theoretically to other uses of the concepts and examples presented. Most chapters will introduce a dimension of quality (i.e., either a dynamic or static performance attribute) and subsequently demonstrate several technical examples of how that attribute can be implemented. Because many performance requirements overlap or are closely related, many sections will point to other chapters for further understanding or other related examples. Each chapter will conclude with at least one comprehensive example that demonstrates the short business case that required various quality attributes and how those attributes were implemented. Case studies will depict successful and unsuccessful implementation of code quality against requirements. These cases will be more anecdotal from the authors personal experiences--good and bad--and thus will be neither code-driven nor theoretical.Professional DevelopmentProfessionals15.24 x 22.86 cmhttp://www.wileyeurope.com/remtitle.cgi?111924076X9780470699621B004042620O19780470699621Statistical Shape Analysis: with applications in R, 2nd EditionR 2Ian DrydenWiley Series in Probability and StatisticsJohn Wiley & SonsWiley2016-08-26USD110.002nd Edition472HardcoverPrintedBookEnglishApplied Probability & StatisticsStatistical Shape Analysis involves methods for the geometrical study of random objects where location, rotation and scale information can be removed. The book lays the foundations of the subject discussing key ideas and the very latest developments in this subject. This book acts as a practical guide and provides comparisons of techniques. There is a vast range of applications of shape analysis and the authors introduce the field to statisticians and applied researchers through important examples and data analysis in Biology, Medicine and Image Analysis. The text primarily concentrates on landmark data and key points of correspondence located on each object. Careful consideration of the similarity invariances requires methods appropriate for non-Euclidean data analysis. In particular, multivariate statistical procedures are presented. The book begins with an overall introduction into Shape Analysis and presents both 2D and 3D examples. R is used to illustrate examples throughout the text.http://www.wileyeurope.com/remtitle.cgi?04706996209783319305165B003991255O19783319305165A Kaleidoscopic View of Graph ColoringsZhangSpringerBriefs in MathematicsSpringerSpringer International Publishing2016-04-01EUR49.99XIII, 157PaperbackPrintedBookEnglishMathematicsM29020 Graph TheoryThis book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings. Recently there have been a number of breakthroughs in vertex colorings that give rise to other colorings in a graph, such as graceful labelings of graphs that have been reconsidered under the language of colorings. The topics presented in this book include sample detailed proofs and illustrations, which depicts elements that are often overlooked. This book is ideal for graduate students and researchers in graph theory, as it covers a broad range of topics and makes connections between recent developments and well-known areas in graph theory.ResearchPostgraduateXIII, 157 p. 79 illus.http://124.205.215.187/zkImage/catalog/5/9783319305165.jpg9783319335995B003990521O19783319335995Abstract State Machines, Alloy, B, TLA, VDM, and Z5th International Conference, ABZ 2016, Linz, Austria, May 23-27, 2016, ProceedingsBTLAVDMZ2016 5 / ButlerTheoretical Computer Science and General Issues9675SpringerSpringer International Publishing2016-05-01EUR64.00XXI, 426PaperbackPrintedBookEnglishComputer ScienceI16048 Mathematical Logic and Formal LanguagesThis book constitutes the refereed proceedings of the 5th International Conference on Abstract State Machines, Alloy, B, TLA, VDM, and Z, ABZ 2016, held in Linz, Austria, in May 2016. The 17 full and 15 short papers presented in this volume were carefully reviewed and selected from 61 submissions. They record the latest research developments in state-based formal methods Abstract State Machines, Alloy, B, Circus, Event-B, TLS+, VDM and Z.ResearchPostgraduateProceedingsXXI, 426 p. 143 illus.http://124.205.215.187/zkImage/catalog/5/9783319335995.jpg9783319301297B003991253O19783319301297Adaptive Discontinuous Galerkin Methods for Non-linear Reactive FlowsUzuncaLecture Notes in Geosystems Mathematics and ComputingSpringerBirkhuser Basel2016-04-01EUR76.99IX, 105PaperbackPrintedBookEnglishMathematicsM14050 Numerical AnalysisThe focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space and time are derived. The elliptic reconstruction technique is then utilized to derive the a posteriori error bounds for the fully discrete system and to obtain optimal orders of convergence.As coupled surface and subsurface flow over large space and time scales is described by (ADR) equation the methods described in this book are of high importance in many areas of Geosciences including oil and gas recovery, groundwater contamination and sustainable use of groundwater resources, storing greenhouse gases or radioactive waste in the subsurface.ResearchPostgraduateMonographIX, 105 p. 38 illus., 28 illus. in color.http://124.205.215.187/zkImage/catalog/5/9783319301297.jpg9783319319230B003991246O19783319319230Advanced Finite Element TechnologiesSchrderCISM International Centre for Mechanical Sciences566SpringerSpringer International Publishing2016-05-01EUR119.00VII, 236HardcoverPrintedBookEnglishMathematicsM1400X Computational Mathematics and Numerical AnalysisThe book presents an overview of the state of research of advanced finite element technologies. Besides the mathematical analysis, the finite element development and their engineering applications are shown to the reader. The authors give a survey of the methods and technologies concerning efficiency, robustness and performance aspects. The book covers the topics of mathematical foundations for variational approaches and the mathematical understanding of the analytical requirements of modern finite element methods. Special attention is paid to finite deformations, adaptive strategies, incompressible, isotropic or anisotropic material behavior and the mathematical and numerical treatment of the well-known locking phenomenon. Beyond that new results for the introduced approaches are presented especially for challenging nonlinear problems.ResearchPostgraduateMonographVII, 236 p. 92 illus., 47 illus. in color.http://124.205.215.187/zkImage/catalog/5/9783319319230.jpg9783319312583B003991261O19783319312583Advances and Challenges in Parametric and Semi-parametric Analysis for Correlated DataProceedings of the 2015 International Symposium in Statistics2015 / SutradharLecture Notes in Statistics - Proceedings218SpringerSpringer International Publishing2016-06-01EUR119.99XXI, 241PaperbackPrintedBookEnglishStatisticsS11001 Statistical Theory and MethodsThis proceedings volume contains eight selected papers that were presented in the International Symposium in Statistics (ISS) 2015 On Advances in Parametric and Semi-parametric Analysis of Multivariate, Time Series, Spatial-temporal, and Familial-longitudinal Data, held in St. Johns, Canada from July 6 to 8, 2015. The main objective of the ISS-2015 was the discussion on advances and challenges in parametric and semi-parametric analysis for correlated data in both continuous and discrete setups. Thus, as a reflection of the theme of the symposium, the eight papers of this proceedings volume are presented in four parts. Part I is comprised of papers examining Elliptical t Distribution Theory. In Part II, the papers cover spatial and temporal data analysis. Part III is focused on longitudinal multinomial models in parametric and semi-parametric setups. Finally Part IV concludes with a paper on the inferences for longitudinal data subject to a challenge of important covariates selection from a set of large number of covariates available for the individuals in the study.ResearchPostgraduateProceedingsXXI, 241 p. 10 illus., 4 illus. in color.http://124.205.215.187/zkImage/catalog/5/9783319312583.jpg9783662504468B004043114O19783662504468Advances in Discrete Differential Geom