ISBNIDISBN()CategorySubCategoryBISAC----9781501704390B003757559N09781501704390What Galileo SawImagining the Scientific Revolution Lawrence LipkingCornell University Press2016-04-19USD24.95PaperbackPrintedBookEnglishArt/History - Renaissance

The Scientific Revolution of the seventeenth century has often been called a decisive turning point in human history. It represents, for good or ill, the birth of modern science and modern ways of viewing the world. In What Galileo Saw, Lawrence Lipking offers a new perspective on how to understand what happened then, arguing that artistic imagination and creativity as much as rational thought played a critical role in creating new visions of science and in shaping stories about eye-opening discoveries in cosmology, natural history, engineering, and the life sciences.

When Galileo saw the face of the Moon and the moons of Jupiter, Lipking writes, he had to picture a cosmos that could account for them. Kepler thought his geometry could open a window into the mind of God. Francis Bacon's natural history envisioned an order of things that would replace the illusions of language with solid evidence and transform notions of life and death. Descartes designed a hypothetical "Book of Nature" to explain how everything in the universe was constructed. Thomas Browne reconceived the boundaries of truth and error. Robert Hooke, like Leonardo, was both researcher and artist; his schemes illuminate the microscopic and the macrocosmic. And when Isaac Newton imagined nature as a coherent and comprehensive mathematical system, he redefined the goals of science and the meaning of genius.

What Galileo Saw bridges the divide between science and art; it brings together Galileo and Milton, Bacon and Shakespeare. Lipking enters the minds and the workshops where the Scientific Revolution was fashioned, drawing on art, literature, and the history of science to reimagine how perceptions about the world and human life could change so drastically, and change forever.SCI034000Lawrence Lipking (Ph.D. Cornell) is Professor of English and Chester D. Tripp Professor of Humanities at Northwestern University. He received the Phi Beta Kappa Christian Gauss Prize for The Life of the Poet. He is also the author of The Ordering of the Arts in Eighteenth-Century England; Abandoned Women and Poetic Tradition; and Samuel Johnson: The Life of an Author and editor of High Romantic Argument. Lipking is the recipient of Guggenheim, ACLS, Newberry Library, Wilson International Center for Scholars, and NEH Senior fellowships and is a fellow of the American Academy of Arts and Sciences.9781137497680B003885640N09781137497680Conjuring ScienceA History of Scientific Entertainment and Stage Magic in Modern FranceLachapelleSpringerPalgrave Macmillan US2015-10-01EUR79.99202HardcoverPrintedBookEnglishCultural and Media Studies415030 Performing ArtsConjuring Science explores the relationship between science, magic and entertainment in nineteenth and early twentieth century France, focusing on the world of conjurers and magic shows.ResearchPostgraduateMonograph202 p.9781137492722B003885639N09781137492722Domesticity in the Making of Modern ScienceOpitzSpringerPalgrave Macmillan UK2015-10-01EUR84.99305HardcoverPrintedBookEnglishHistory713000 Modern HistoryThe history of the modern sciences has long overlooked the significance of domesticity as a physical, social, and symbolic force in the shaping of knowledge production. This book provides a welcome reorientation to our understanding of the making of the modern sciences globally by emphasizing the centrality of domesticity in diverse scientific enterprises.ResearchPostgraduateMonograph305 p.9781137594198B003885641N09781137594198Innovation in Science and Organizational RenewalHistorical and Sociological PerspectivesHeinzePalgrave Studies in the History of Science and TechnologySpringerPalgrave Macmillan US2016-05-01EUR84.99280HardcoverPrintedBookEnglishHistory731000 History of ScienceThis book looks at the types of new research organizations that drive scientific innovation and how ground-breaking science transforms research fields and their organization. Based on historical case studies and comparative empirical data, the book presents new and thought-provoking evidence that improves our knowledge and understanding about how new research fields are formed and how research organizations adapt to breakthroughs in science. While the book is firmly based in science history, it discusses more general sociological and policy propositions regarding scientific innovations and organizational change. The volume brings together leading scholars both from the United States and Europe.ResearchPostgraduateMonograph280 p. 9 illus.9781138812161B003876971N09781138812161The Routledge Companion to Global Internet HistoriesRoutledge Gerard Goggin^^Mark McLellandTaylor & FrancisRoutledge2016-07-31GBP130.00550HardcoverPrintedBookEnglishCommunication StudiesCommunication History / History of Science & TechnologyThe Routledge Companion to Global Internet Historiesbrings together research on local and international internet histories that have evolved in different regions, language cultures and social contexts across the globe. While the internet is now in its fifth decade, the understanding and formulation of its histories outside of an Anglophone framework is very much in its infancy. The emphasis of this volume is on understanding and formulating internet histories outside of the Anglophone case studies and theoretical paradigms that have so far dominated academic scholarship on internet history.Interdisciplinary in scope, the collectionoffers avariety of historical lenses on the development of the internet: as a new communications technology seen in the context of older technologies; as a new form of sociality read alongside previous technologically mediated means of relating; and as a new media vehicle for the communication of content.PostgraduatePostgraduateHandbook7 x 9 inch9781107142107B003862200N029781107142107Probability and EvidencePaul HorwichCambridge Philosophy ClassicsCambridge University Press2016-03-01USD90.00140HardcoverPrintedBookEnglishPhilosophyPhilosophy of scienceIn this influential study of central issues in the philosophy of science, Paul Horwich elaborates on an important conception of probability, diagnosing the failure of previous attempts to resolve these issues as stemming from a too-rigid conception of belief. Adopting a Bayesian strategy, he argues for a probabilistic approach, yielding a more complete understanding of the characteristics of scientific reasoning and methodology. Presented in a fresh twenty-first-century series livery, and including a specially commissioned preface written by Colin Howson, illuminating its enduring importance and relevance to philosophical enquiry, this engaging work has been revived for a new generation of readers.philosophy of sciencePostgraduate10 b/w illus. 5 tablesPreface to this edition Colin Howson; Part I. Methodology: 1. Introduction; 2. Aspects of the scientific method; 3. A taste of Bayesianism; Part II. Probability: 4. The primitive theory; 5. Subjectivism; 6. The rationalist interpretation; 7. The logical interpretation; 8. The evidential state; 9. The empirical interpretation; Part III. Confirmation: 10. Explications; 11. The paradox; 12. A Bayesian pseudo-solution to the problem of induction; 13. Projection; Part IV. Induction: Section 1. The Nature of Inductive Inference; Section 2. Conditions of Rationality: 14. Demonstrable reliability; 15. The demonstrable reliability of c+; 16. Immodesty; 17. Audacity; Section 3. The Justification of Induction: 18. The impossibility of a noncircular rationale; 19. Inductive demonstration of reliability; 20. Semantic justification; Part V. Prediction: 21. Surprise; 22. Severe tests; 23. Ad hoc hypothesis; 24. Prediction versus accommodation; Part VI. Evidence: 25. The evidential value of varied data; 26. The value of further data; Part VII. Realism: 27. Popper; 28. Realism versus instrumentalism; 29. Putnam; 30. Glymour; 31. Conclusion; Bibliography; Index.http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=97811071421079781634842099B003866220N029781634842099Creative Transformation of Synergy and Homeostasis of the Natural Space in the Peaceful Development of HumankindBidzina SavaneliScience in a Competitive and Globalizing WorldNova Science2016USD230.00HardcoverPrintedBookEnglishScience and TechnologyThis book is a pioneering scientific work at the intersection of natural, social and human sciences; it aims to ensure sustainable peace and prevent global disorder on our planet through a critical review of thermodynamics second law and the application of synergistic communication to the sustainable development of humankind. The purpose is to make a contribution to the creative transformation of the natural normative order in the social, national and international normative orders at the regional, national, international and global levels under the aegis of the Bill of Human Rights. In this sense, the proposed theory offers a new mechanism for overcoming existing disorders and preventing new disorders, and in the end opens the door "to teach humankind to be able to merge into the orders of order (Shota Rustaveli XII c.) and pushes humankind from a closed cyclical position to the spiral-evolutionary stage. To this end, the paper is based on a comparative analysis of studies of E. Kant, G. Hegel, I. Newton, M. Planck, A. Einstein, N. Lobachevsky, N. Bohr, W. Heisenberg, B. Russell, V. Lobovikov and in jurisprudence H. Kelsen and G. Naneishvili. The author has a noble goal to provoke colleagues from different disciplines in order to participate in the building of bridges between the natural, social and human sciences for properly "fitting" humanity in harmony with nature. The article serves as a fruitful source of new ideas for students, researchers and professionals working in the field of physics, mathematics, biology, philosophy, anthropology, sociology and jurisprudence or related fields.SCI055000https://www.novapublishers.com/catalog/advanced_search_result.php?keywords=97816348420999780199385072B003789221N099780199385072Wondrous TruthsThe Improbable Triumph of Modern ScienceJ.D. TroutOxford University Press2016-06-30GBP19.99240HardcoverPrintedBookEnglishPhilosophyWondrous Truths answers two questions about the steep rise of theoretical discoveries around 1600: Why in the European West? And why so quickly? The history of science's awkward assortment of accident and luck, geography and personal idiosyncrasy, explains scientific progress alongside experimental method.An educated lay audience of the sort that read Jared Diamond's Guns, Germs and Steel; historians, philosophers, and psychologists of science.Postgraduate210 x 140 mmCh 1 Wonder and the Feeling of Understanding; Ch 2 Explanatory Fluency and the False Climb; Ch 3 The Biology Behind the Feeling; Ch 4 Believing the Best Explanation; Ch 5 Good Theories, Lucky Hunches; Ch 6 Newton's Hunch; Ch 7 Conclusion; References; Endnoteshttp://ukcatalogue.oup.com/product/9780199385072.do9781138661851B003798179N099781138661851Science and Culture in the Nineteenth Century 11010 Volume Set 1-10Science and Culture in the Nineteenth CenturyTaylor & FrancisRoutledge2016-02-29GBP34.002900PaperbackPrintedBookEnglishHumanitiesHistoryContains the first ten books from the series.234 x 156 mmhttp://www.routledge.com/books/details/97811386618519781138664142 2016-02-29 Volume 3 2900 GBP34.00;9781138664135 2016-02-29 Volume 1 2900 GBP34.00;9781138660779 2016-02-29 Volume 7 2900 GBP34.00;9781138660755 2016-02-29 Volume 4 2900 GBP34.00;9781138664159 2016-02-29 Volume 6 2900 GBP34.00;9781138660786 2016-02-29 Volume 8 2900 GBP34.00;9781138660762 2016-02-29 Volume 5 2900 GBP34.00;9781138660731 2016-02-29 Volume 10 2900 GBP34.00;9781138660748 2016-02-29 Volume 2 2900 GBP34.00;9781138664166 2016-02-29 Volume 9 2900 GBP34.00;9781107029262B003795124N095.619781107029262The Royal Society and the Promotion of Science since 19601960Peter CollinsCambridge University Press2015-11-01USD99.99352HardcoverPrintedBookEnglishHistory - cross disciplineHistoryThe Royal Society is one of the world's oldest and most prestigious scientific bodies, but what has it done in recent decades? Increasingly marginalised by postwar developments and the reforms of civil science in the 1960s, the Society was at risk of resting on its laurels. Instead, it found ways of exploiting its unique networks of scientific talent to promote science. Creating opportunities for outstanding individuals to establish and advance research careers, influencing policymaking at national and international levels, and engaging with the public outside the world of professional science, the Society gave fresh expression to the values that had shaped its long history. Through unparalleled access to the Society's modern archives and other archival sources, interviews with key individuals and extensive inside knowledge, Peter Collins shows how the Society addressed the challenges posed by the astounding growth of science and by escalating interactions between science and daily life.22 b/w illus. 6 tables1. Presidential politics and postwar priorities; 2. Running UK science? 3. Supporting individual researchers; 4. The applications of science; 5. Defending the science base; 6. Doing science publicly; 7. Science and international politics; 8. Keeping the door open; 9. Europe: competition and collaboration; 10. Doing science globally; 11. Looking outward; Annex: running the Society; Sources; Index.9780133975345B003867045N949780133975345System Architecture: Strategy and Product Development for Complex SystemsCrawley^^Cameron^^SelvaIndustrial, Biomedical, & Materials Science EngineeringPearson EducationPrentice Hall2015-04-15HKD1191.00480HardcoverPrintedBookEnglishHEDStudentsUndergraduate9780198783800B003789193N945.19780198783800The Structure of Complex NetworksTheory and ApplicationsErnesto EstradaOxford University Press2016-06-15GBP29.99480PaperbackPrintedBookEnglishPhysicsThe book integrates approaches from mathematics, physics and computer sciences to analyse the organisation of complex networks. Every organisational principle of networks is defined, quantified and then analysed for its influences on the properties and functions of molecular, biological, ecological and social networks.Graduate students and researchers in the field of complex networks, mathematical chemistry, theoretical and computational biology, and social networks.Postgraduate246 x 189 mm1 Introduction; 2 Adjacency Relationships in Networks; 3 Metric and Topological Structure of Networks; 4 Fragments (Subgraphs) in Complex Networks; 5 Accounting for all parts (subgraphs); 6 Communicability Functions in Networks; 7 Centrality Measures; 8 Global Network Invariants; 9 Expansion and Network Classes; 10 Community Structure in Networks; 11 Network Bipartivity; 12 Random Models of Networks; 13 Genetic Networks; 14 Protein Residue Networks; 15 Protein-protein Interaction Networks; 16 The Structure of Reaction Networks; 17 Intercellular Networks; 18 Networks in Ecology; 19 Socio-Economic Networks; 20 Conclusionshttp://ukcatalogue.oup.com/product/9780198783800.do9781107137431B003797693O19781107137431Convergence of One-parameter Operator SemigroupsIn Models of Mathematical Biology and ElsewhereAdam BobrowskiNew Mathematical Monographs30Cambridge University Press2016-01-01USD140.00439HardcoverPrintedBookEnglishMathematicsAbstract analysisThis book presents a detailed and contemporary account of the classical theory of convergence of semigroups. The author demonstrates the far-reaching applications of this theory using real examples from various branches of pure and applied mathematics, with a particular emphasis on mathematical biology. These examples also serve as short, non-technical introductions to biological concepts. The book may serve as a useful reference, containing a significant number of new results ranging from the analysis of fish populations to signalling pathways in living cells. It comprises many short chapters, which allows readers to pick and choose those topics most relevant to them, and contains 160 end-of-chapter exercises, so that the reader can test their understanding of the material as they go along.functional analysis, stochastic processes, mathematical biologyPostgraduate60 b/w illus. 9 colour illus. 160 exercisesPolitechnika Lubelska, PolandPreface; 1. Semigroups of operators; Part I. Regular Convergence: 2. The first convergence theorem; 3. Example boundary conditions; 4. Example a membrane; 5. Example sesquilinear forms; 6. Uniform approximation of semigroups; 7. Convergence of resolvents; 8. (Regular) convergence of semigroups; 9. Example a queue; 10. Example elastic boundary; 11. Example membrane again; 12. Example telegraph; 13. Example Markov chains; 14. A bird's-eye view; 15. Hasegawa's condition; 16. Blackwell's example; 17. Wright's diffusion; 18. Discrete-time approximation; 19. Discrete-time approximation examples; 20. Back to Wright's diffusion; 21. Kingman's n-coalescent; 22. The FeynmanKac formula; 23. The two-dimensional Dirac equation; 24. Approximating spaces; 25. Boundedness, stablization; Part II. Irregular Convergence: 26. First examples; 27. Example genetic drift; 28. The nature of irregular convergence; 29. Convergence under perturbations; 30. Stein's model; 31. Uniformly holomorphic semigroups; 32. Asymptotic behavior of semigroups; 33. Fast neurotransmitters; 34. Fast neurotransmitters II; 35. Diffusions on graphs and Markov chains; 36. Semilinear equations; 37. Coagulation-fragmentation equation; 38. Homogenization theorem; 39. Shadow systems; 40. Kinases; 41. Uniformly differentiable semigroups; 42. Kurtz's theorem; 43. A singularly perturbed Markov chain; 44. A Tikhonov-type theorem; 45. Fast motion and frequent jumps; 46. Gene regulation and gene expression; 47. Some non-biological models; 48. Convex combinations of generators; 49. Dorroh and Volkonskii theorems; 50. Convex combinations in biology; 51. Recombination; 52. Recombination (continued); 53. Khasminskii's example; 54. Comparing semigroups; 55. Asymptotic analysis; 56. Greiner's theorem; 57. Fish dynamics; 58. Emergence of transmission conditions; 59. Emergence of transmission conditions II; Part III. Convergence of Cosine Families: 60. Regular convergence; 61. Cosines converge in a regular way; Part IV. Appendices: 62. Laplace transform; 63. Measurability implies continuity; References; Index.http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=97811071374319781107042599B003797694O19781107042599The BanachTarski Paradox - Grzegorz TomkowiczEncyclopedia of Mathematics and its Applications163Cambridge University Press2016-02-01USD110.002nd Edition384HardcoverPrintedBookEnglishMathematicsAbstract analysisThe BanachTarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years.mathematical analysis, logicPostgraduate47 b/w illus. 6 colour illus.Part I. Paradoxical Decompositions, or the Nonexistence of Finitely Additive Measures: 1. Introduction; 2. The Hausdorff paradox; 3. The BanachTarski paradox: duplicating spheres and balls; 4. Hyperbolic paradoxes; 5. Locally commutative actions: minimizing the number of pieces in a paradoxical decomposition; 6. Higher dimensions; 7. Free groups of large rank: getting a continuum of spheres from one; 8. Paradoxes in low dimensions; 9. Squaring the circle; 10. The semigroup of equidecomposability types; Part II: Finitely Additive Measures, or the Nonexistence of Paradoxical Decompositions: 11. Transition; 12. Measures in groups; 13. Applications of amenability; 14. Growth conditions in groups and supramenability; 15. The role of the axiom of choice.http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=97811070425999781107111943B003862164O19781107111943Variational Methods for Nonlocal Fractional ProblemsGiovanni Molica BisciEncyclopedia of Mathematics and its Applications162Cambridge University Press2016-03-01USD140.00386HardcoverPrintedBookEnglishMathematicsAbstract analysisThis book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory.abstract analysis, nonlinear analysisPostgraduateUniversit di Reggio Calabria, ItalyForeword Jean Mawhin; Preface; Part I. Fractional Sobolev Spaces: 1. Fractional framework; 2. A density result for fractional Sobolev spaces; 3. An eigenvalue problem; 4. Weak and viscosity solutions; 5. Spectral fractional Laplacian problems; Part II. Nonlocal Subcritical Problems: 6. Mountain Pass and linking results; 7. Existence and localization of solutions; 8. Resonant fractional equations; 9. A pseudo-index approach to nonlocal problems; 10. Multiple solutions for parametric equations; 11. Infinitely many solutions; 12. Fractional Kirchhoff-type problems; 13. On fractional Schrdinger equations; Part III. Nonlocal Critical Problems: 14. The Brezis?Nirenberg result for the fractional Laplacian; 15. Generalizations of the BrezisNirenberg result; 16. The BrezisNirenberg result in low dimension; 17. The critical equation in the resonant case; 18. The BrezisNirenberg result for a general nonlocal equation; 19. Existence of multiple solutions; 20. Nonlocal critical equations with concave-convex nonlinearities; References; Index.http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=97811071119439788184874563B003789456O19788184874563Mathematical and Computational SciencesSantosh George^^Jidesh P^^Johny JoseChina Publishers Services Ltd (CPS)Narosa Publishing House Pvt. Ltd.2015GBP59.95272HardcoverPrintedBookEnglishMathematicsCONTENTS: ABSTRACTS OF THE INVITED TALKS: Ray, Radon, Fourier Transforms and Inverse Problem in Image Reconstruction / The Role of Best Approximation Theory in the Study of Fixed Point Theorems / A Superconvergent Method to Solve a Non-linear Operator Equation / Linearization Versus Discretization, Which Should be Done First ? / Approximate Solutions of Integral Equations / Van Der Waerdens Theorem: A Pearl of Number Theory / Machine Learning and Financial Time Series Prediction / MATHEMATICAL SCIENCES: Asymptotic Expansions for Approximate Eigenvalues of Integral Operators with a Weakly Singular Periodic Kernel / A Modified Newton Iterative Scheme for Solving Non-linear Ill-posed Problems / An a Posteriori Parameter Choice Rule for Singularly Perturbed Elliptic PDE / Expanding the Applicability of Newton-Tikhonov Regularization of Non-linear Ill-Posed Hammerstein Type Equations / An Iterative Method for Non-linear Ill-Posed Equation with Monotone Operators / Bounds for Chessboard Domination Problems in 3 and Higher Dimensions / A Comparative Study of Three Level Explicit and Implicit Numerical Scheme for Convection Diffusion Equation / The b-chromatic Number Mycielskian of Paths / Smooth Fractal Interpolation with Function Scaling Factors, M.A. Navascus / A Stage-structured Eco-epidemiological Model with Refuge / An Efficient Algorithm to Handle the Combinatorial Sets of Network Reliability / The Structure of Zero Divisor Graph of Monogenic Semigroups and Their Betweenness Centralities / COMPUTATIONAL SCIENCES: Covering Arrays of Strength Four with Budget Constraints / Covering Arrays of Strength Two and Pairwise Software Testing / An Implementation of GSM Based Smart Digital Notice Board Using Embedded C / Dissipativity Analysis of Memristor-Based Recurrent Neutral Networks Based on Delay Decomposition Approach / Modification of Fuzzy kNN by Learning from Data in Activity Recognition Modeling / A Survey on Performance Parameters of Different Cross Layer Design Protocols in WSN / Effect on Coverage Due to Sensor Node Mobility / Data Mining for Performance Improvement of Human Aspect of Software Engineering / Realization of Maximum Likelihood (ML) Decoding by Modified Multi Stack Pushdown Automata / Detection of Back Attack in a TCP Network Using Hidden Markov Model / Fuzzy Predicate Petri Net and T-invariant Analysis Based Cloud Service Recommendation using Cloud Service Ontology / Localization Scheme for Super Nodes in Underwater Sensor Network Using PSO Algorithm / Prediction of Divergence of Dengue Virus Serotypes by Comparative Analysis of Nucleotide and Amino Acid Sequences / Migration of Legancy Application to Cloud Environment: A Survey / Routing Messages in a Human Network / Component Analysis based Hybrid Face Recognition System using Artificial Neural Network / ABSTRACTS OF THE PRESENTED PAPERS: Iterative Root Problem for PM Functions with Height Greater than One / K-Frames and Frame Operators / Higher Order Interval Newton Method for Unconstrained Optimization / Study and Implementation of Telemetry System using VHDL / Adomian Decomposition Method and its Modification for Non-linear Abels Integral Equation.9788184874464B003789458O19788184874464The Theory of the Hurwitz Zeta Function of the Second VariableVivek V. RaneChina Publishers Services Ltd (CPS)Narosa Publishing House Pvt. Ltd.2015-12-01GBP49.95300HardcoverPrintedBookEnglishMathematics9781119184188B003877306O19781119184188Solutions Manual To Accompany Geometry Of Convex SetsI. E. LeonardJohn Wiley & SonsWiley2016-04-08USD29.95122PaperbackPrintedBookEnglishGeometry & TopologyGeometry of Convex Setsbegins with basic definitions of the linear concepts of addition and scalar multiplication and then defines the notion of convexity for subsets of n-dimensional space. Many properties of convex sets can be discovered using just the linear structure. However, for more interesting results, it is necessary to discuss the notion of distance about open sets, closed sets, bounded sets, and compact sets. The book illustrates the interplay between these linear and topological concepts, which makes the notion of convexity so appealing. Thoroughly class-tested, the book discusses topology and convexity in the context of normed linear spaces, specifically with a norm topology on an n-dimensional space.Geometry of Convex Setsalso features:15.24 x 22.86 cmhttp://www.wileyeurope.com/remtitle.cgi?11191841859781634827690B003866120O19781634827690Nonlinear Partial Differential Equations and Soliton SolutionsYucui GuoMathematics Research DevelopmentsNova Science2016USD310.00HardcoverPrintedBookEnglishMathematicsThis book studies the methods for solving non-linear, partial differential equations that have physical meaning, and soliton theory with applications. Specific descriptions on the formation mechanism of soliton solutions of non-linear, partial differential equations are given, and some methods for solving this kind of solution such as the Inverse Scattering Transform method, Backlund Transformation method, Similarity Reduction method and several kinds of function transformation methods are introduced. Integrability of non-linear, partial differential equations is also discussed. This book is suitable for graduate students whose research fields are in applied mathematics, applied physics and non-linear science-related directions as a textbook or a research reference book. This book is also useful for non-linear science researchers and teachers as a reference book. The characteristics of this book are: 1. The author provides clear concepts, rigorous derivation, thorough reasoning, and rigorous logic in the book. Since the research boom of non-linear, partial differential equations was rising in the 1960s, the research on non-linear, partial differential equations and soliton theory has only been several decades, which can be described as a very young discipline compared to the other branches in mathematics. Although there are a few related books, they are mostly in highly specialized interdisciplinary areas. There is no book which is suitable for cross-disciplines and for people with college level mathematics and college physics background. This book fills that gap. 2. The book is easy to be understood by readers since it provides step-by-step approaches. All results in the book have been deduced and collated by the author to make sure that they are correct and perfect. 3. The derivation from the physical models to mathematical models is emphasized in the book. In mathematical physics, we cannot just simply consider the mathematical problems without a physical image, which often plays the key role for understanding the mathematical problems. 4. Mathematical transformation methods are provided. The basic idea of various methods for solving non-linear, partial differential equations is to simplify the complex equations into simple ones through some transformations or decompositions. However, we cannot find any patterns for using such transformations or decompositions, and certain conjectures and assumptions have to be used. However, the skill and the logic of using the transformations and decompositions are very important to researchers in this field.MAT017000https://www.novapublishers.com/catalog/advanced_search_result.php?keywords=97816348276909783639664836B003799888O19783639664836Slant Hankel OperatorsDifferent Properties and DevelopmentSlant Hankel OperatorsMoirangthem PremjitOmniScriptumScholars' Press2015-09-01EUR47.90108PaperbackPrintedBookEnglishMATHEMATICS / GeneralThe book is divided into five parts. The first part contains the literature about the development of Toeplitz operator. The second part contains all the fundamental information regarding development and properties of Slant Toeplitz operators. The third part contains the development of Slant Hankel operator and the relation between Slant Hankel operator and Slant Toeplitz operator.The fourth part contains the spectrum, spectral radius of Slant Hankel operators. The fifth part includes the development of another version of the Slant Hankel operators. It also contains some properties of Slant Hankel operators9780134107172B003866699O19780134107172A Pathway to Introductory StatisticsLehmannDevelopmental MathematicsPearson EducationPearson2015-09-25HKD1600.00848PaperbackPrintedBookEnglishHEDStudentsUndergraduate9780134122588B003866362O19780134122588Calculus and Its Applications Expanded Version Media Update Bittinger^^Ellenbogen^^SurgentApplied Math & Can ImportsPearson EducationPearson2015-02-10HKD1608.00984HardcoverPrintedBookEnglishHEDStudentsUndergraduate9783319279763B003885644O19783319279763A Fixed-Point FarragoShapiroUniversitextSpringerSpringer International Publishing2016-03-01EUR49.99XIV, 227HardcoverPrintedBookEnglishMathematicsM12007 AnalysisThis text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volumes ability to be used as a self-contained text. Readers will find the presentation especially useful for independent study or as a supplement to a graduate course in fixed-point theory.The material is split into four parts: the first introduces the Banach Contraction-Mapping Principle and the Brouwer Fixed-Point Theorem, along with a selection of interesting applications; the second focuses on Brouwers theorem and its application to John Nashs work; the third applies Brouwers theorem to spaces of infinite dimension; and the fourth rests on the work of Markov, Kakutani, and RyllNardzewski surrounding fixed points for families of affine maps.GraduatePostgraduateTextbookXIV, 227 p. 8 illus.9789811002892B003885643O19789811002892Analytic Function Theory of Several VariablesElements of Okas CoherenceNoguchiSpringerSpringer Singapore2016-02-01EUR59.99XVI, 393PaperbackPrintedBookEnglishMathematicsM12198 Several Complex Variables and Analytic SpacesThe purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of GrauertRemmert's two volumes, GL227(236) (Theory of Stein spaces) and GL265 (Coherent analytic sheaves) with a lowering of the level for novice graduate students (here, Grauert's direct image theorem is limited to the case of finite maps).The core of the theory is Oka's Coherence , found and proved by Kiyoshi Oka. It is indispensable, not only in the study of complex analysis and complex geometry, but also in a large area of modern mathematics. In this book, just after an introductory chapter on holomorphic functions (Chap. 1), we prove Oka's First Coherence Theorem for holomorphic functions in Chap. 2. This defines a unique character of the book compared with other books on this subject, in which the notion of coherence appears much later.The present book, consisting of nine chapters, gives complete treatments of the following items: Coherence of sheaves of holomorphic functions (Chap. 2); OkaCartan's Fundamental Theorem (Chap. 4); Coherence of ideal sheaves of complex analytic subsets (Chap. 6); Coherence of the normalization sheaves of complex spaces (Chap. 6); Grauert's Finiteness Theorem (Chaps. 7, 8); Oka's Theorem for Riemann domains (Chap. 8). The theories of sheaf cohomology and domains of holomorphy are also presented (Chaps. 3, 5). Chapter 6 deals with the theory of complex analytic subsets. Chapter 8 is devoted to the applications of formerly obtained results, proving CartanSerre's Theorem and Kodaira's Embedding Theorem. In Chap. 9, we discuss the historical development of Coherence .It is difficult to find a book at this level that treats all of the above subjects in a completely self-contained manner. In the present volume, a number of classical proofs are improved and simplified, so that the contents are easily accessible for beginning graduate students.ResearchPostgraduateTextbookXVI, 393 p. 28 illus., 27 illus. in color.9783319280608B003885646O19783319280608Applied Impulsive Mathematical ModelsStamovaCMS Books in MathematicsSpringerSpringer International Publishing2016-03-01EUR94.99X, 305HardcoverPrintedBookEnglishMathematicsM13070 Systems Theory, ControlUsing the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. Consisting of five chapters, the book presents many applicable techniques, making them available in a single source easily accessible to researchers interested in mathematical models and their applications. Serving as a valuable reference, this text is addressed to a wide audience of professionals, including mathematicians, applied researchers and practitioners.ResearchPostgraduateMonographX, 305 p.9783319281841B003885642O19783319281841Convexity and Discrete Geometry Including Graph TheoryMulhouse, France, September 20142014 / AdiprasitoSpringer Proceedings in Mathematics & Statistics148SpringerSpringer International Publishing2016-03-01EUR99.99X, 284HardcoverPrintedBookEnglishMathematicsM21014 Convex and Discrete GeometryThis volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 711, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.ResearchPostgraduateProceedingsX, 284 p. 93 illus., 54 illus. in color.9784431559771B003885645O19784431559771Information Geometry and Its ApplicationsAmariApplied Mathematical Sciences194SpringerSpringer Japan2016-02-01EUR94.99XIII, 373HardcoverPrintedBookEnglishMathematicsM21022 Differential GeometryThis is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced, leading directly to dualistic structure, the heart of information geometry. This part (Part I) can be apprehended without any knowledge of differential geometry. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry. Information geometry of statistical inference, including time series analysis and semiparametric estimation (the NeymanScott problem), is demonstrated concisely in Part III. Applications addressed in Part IV include hot current topics in machine learning, signal processing, optimization, and neural networks. The book is interdisciplinary, connecting mathematics, information sciences, physics, and neurosciences, inviting readers to a new world of information and geometry. This book is highly recommended to graduate students and researchers who seek new mathematical methods and tools useful in their own fields.ResearchPostgraduateMonographXIII, 373 p. 94 illus.9783319273693B003885647O19783319273693Rigid Geometry of Curves and Their JacobiansLtkebohmertErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics61SpringerSpringer International Publishing2016-02-01EUR94.99XVIII, 386HardcoverPrintedBookEnglishMathematicsM00009 Mathematics (general)This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.ResearchPostgraduateMonographXVIII, 386 p. 1 illus. in color.9783662454497B003338526O19783662454497The Universe of ConicsFrom the ancient Greeks to 21st century developments21GlaeserSpringerSpringer Spektrum2016-03-01EUR59.99400HardcoverPrintedBookEnglishMathematicsM21006 GeometryThis text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries.With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics.This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry.Augmented with more than two hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.Upper undergraduateUndergraduateTextbookApprox. 400 p. 350 illus. in color.9781498765343B003874164O197814987653433D Origami Art3DJun MitaniTaylor & FrancisA K Peters/CRC Press2016-06-16GBP25.99PaperbackPrintedBookEnglishMathematics & StatisticsFoundations & Theorems

The origami introduced in this book is designed based on geometry. The most important feature of 3D Origami Art is its form. The origami has curved folds and surfaces, unlike most known origami that is folded flat. The curved nature of 3D origami leads to many new and beautiful forms.This book explains how the shapes are designed with many easy-to-understand figures. The theory is mainly explained with figures. There are no equations so that general reader can understand and design their own origami with ease.

8 x 10 inchhttp://124.205.215.187/zkImage/catalog/0/9781498765343.jpg9781498755672B003874178O19781498755672A MatLab Companion to Complex VariablesA. David WunschTextbooks in Mathematics41Taylor & FrancisCRC Press2016-05-04GBP44.99312PaperbackPrintedBookEnglishEngineering & TechnologyMathematics & Statistics for Engineers / Analysis - Mathematics

This supplemental text allows instructors and students to add a MatLab content to a complex variables course. This book seeks to create a bridge between functions of a complex variable and MATLAB. Every math department teaches a course in Complex Variables, often taken by engineering students. Complex variable theory is about half of a required course in advanced engineering mathematics, methods of mathematical physics. Professors may find and assign MATLAB programming problems that will strengthen the students knowledge of not only that language but the concepts of complex variable theory.

Textbook6-1/8 x 9-1/4 inch9781482239157B003874186O19781482239157Actions and Invariants of Algebraic Groups, Second Edition 2Walter Ricardo Ferrer Santos^^Alvaro RittatoreMonographs and Research Notes in MathematicsTaylor & FrancisChapman and Hall/CRC2016-06-15GBP108.002nd Edition530HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Algebra

This book provides an introduction to geometric invariant theory by providing the reader with the tools needed to read the research in this field. Beginning with commutative algebra and algebraic geometry, the book develops the necessary background of affine algebra over an algebraically closed field K and then moves toward the eventual application of invariant theory, Lie algebras, and modern invariant theory. Two new chapters cover observable actions of affine algebraic groups and observable subgroups of affine monoids.

Reference6-1/8 x 9-1/4 inch9781482248562B003873954O19781482248562Algebraic OperadsAn Algorithmic CompanionMurray R. Bremner^^Vladimir DotsenkoTaylor & FrancisChapman and Hall/CRC2016-04-01GBP89.00365HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Algebra

This bookpresents a systematic treatment of Grbner bases in several contexts. The book builds up to the theory of Grbner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and exercises are provided to clarify and illustrate the concrete meaning of abstract theory.

Reference6-1/8 x 9-1/4 inchhttp://124.205.215.187/zkImage/catalog/0/9781482248562.jpghttp://www.crcpress.com/product/97814822485629781498773706B003875557O19781498773706An Introduction to Fourier AnalysisRussell Leland HermanTaylor & FrancisChapman and Hall/CRC2016-07-26GBP63.99350HardcoverPrintedBookEnglishEngineering & TechnologyMathematics & Statistics for Engineers / Analysis - Mathematics

The proposed book can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which covers Fourier series and orthogonal functions, Fourier and Laplace transforms and an introduction to complex variables. These topics are tied together through the application of the spectral analysis of analog and discrete signals. Its emphasis on applications makes it suitable for courses with students from different backgrounds. The textbook has been extensively class-tested over the past 10 years.

Textbook8-1/2 x 11 inch9781498733656B003875582O19781498733656Applied Differential Equations with Boundary Value ProblemsVladimir DobrushkinTextbooks in MathematicsTaylor & FrancisChapman and Hall/CRC2016-07-26GBP76.99712HardcoverPrintedBookEnglishEngineering & TechnologyMathematics & Statistics for Engineers / Analysis - Mathematics

This version of the author's DE text will include a new chapter on Linear Boundary Value Problems for instructors who want to add this coverage to their DE course.

Textbook6-1/8 x 9-1/4 inch9781771883825B003874232O19781771883825Applied Mathematical Models and Experimental Approaches in Chemical ScienceVladimir Ivanovitch Kodolov^^Mikhail A. KorepanovTaylor & FrancisApple Academic Press2016-04-30GBP99.00354HardcoverPrintedBookEnglishMathematics & StatisticsApplied Mathematics / Mathematical Modeling

This new book focuses on nanomaterial development as well as investigations of combustion and explosion processes. It presents valuable information on the modeling of processes and on quantum chemical calculations and leading-edge research from around the world in this dynamic field, focusing on concepts above formal experimental techniques and theoretical methods of chemical physics for micro- and nanotechnologies. Also presented are non-linear kinetic appearances and their possible applications.

Reference6-1/8 x 9-1/4 inchhttp://124.205.215.187/zkImage/catalog/0/9781771883825.jpg9781482257649B003873967O19781482257649Applied Probability and Stochastic Processes, Second Edition 2Frank BeicheltTaylor & FrancisChapman and Hall/CRC2016-04-05GBP57.992nd Edition562HardcoverPrintedBookEnglishMathematics & StatisticsStatistics & Probability / Operations Research

This book is a self-contained introduction into stochastic processes with special emphasis on their applications in science, engineering, finance, computer science and operations research. It provides the theoretical foundations for modeling time-dependent random phenomena in these areas and illustrates their application through the analysis of numerous examples. The material is presented in a comprehensible, application-oriented way.

UndergraduateUndergraduateTextbook6-1/8 x 9-1/4 inchhttp://124.205.215.187/zkImage/catalog/0/9781482257649.jpghttp://www.crcpress.com/product/97814822576499781498768290B003874292O19781498768290Buildings and Schubert SchemesCarlos Contou-CarrereTaylor & FrancisCRC Press2016-06-15GBP108.00350HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Discrete Mathematics

A book in which algebra and algebraic geometry, combinatorics, and group theory interact in unusual and deep ways, this book discusses buildings and Schubert schemes. The first part of the book introduces Schubert cells and varieties of the general linear group GL(k^(r+1)) over a field k according to Ehresmanns theorem. Smooth resolutions for these varieties are constructed in terms of Flag configurations in k^(r+1) given by linear graphs called minimal galleries. The second part focuses on Schubert schemes, the universal Schubert scheme, and their canonical smooth resolution in terms of the incidence relation in a relative building, which are constructed for a reductive group scheme.

Reference6-1/8 x 9-1/4 inchhttp://124.205.215.187/zkImage/catalog/0/9781498768290.jpg9781498746441B003874419O19781498746441Delay Differential Evolutions Subjected to Nonlocal Initial ConditionsMonica-Dana Burlica^^Mihai Necula^^Daniela Rosu^^Ioan I. VrabieMonographs and Research Notes in MathematicsTaylor & FrancisChapman and Hall/CRC2016-06-15GBP63.99385HardcoverPrintedBookEnglishEngineering & TechnologyMathematics & Statistics for Engineers / Analysis - Mathematics

This proposed research monograph is, uniquely, devoted to a systematic presentation of several very recent results (and some of them appearing for the first time) referring to differential equations and inclusions subjected to nonlocal implicit initial conditions. The major themes of the book consist of a systematic study of the existence, regularity and continuous dependence on the data. The main abstract results are accompanied by illuminating examples describing the evolution of various phenomena; this points out the degree of generality of the developed theory and second, clarifes why the study of these rather abstract problems is needed in applications.

Monograph6-1/8 x 9-1/4 inch9781498771320B003874499O19781498771320Elementary Probability with Applications, Second Edition 2Larry RabinowitzTaylor & FrancisChapman and Hall/CRC2016-06-15GBP44.992nd Edition250PaperbackPrintedBookEnglishMathematics & StatisticsStatistics & Probability / Probability

Probability plays an essential role in making decisions in areas such as business, politics, and sports, among others. Professor Rabinowitz, based on many years of teaching, has created a textbook suited for classroom use as well as for self-study that is filled with hundreds of carefully chosen examples based on real-world case studies about sports, elections, drug testing, legal cases, population growth, business, and more. His approach is innovative, practical, and entertaining. Elementary Probability with Applications will serve to enhance classroom instruction, as well as benefit those who want to review the basics of probability at their own pace

Textbook6-1/8 x 9-1/4 inch9781498721554B003875890O19781498721554Elements of Quasigroup Theory with Applications in coding and CryptologyVictor Shcherbacov^^J.D. PhillipsMonographs and Research Notes in MathematicsTaylor & FrancisChapman and Hall/CRC2016-08-15GBP76.99448HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Algebra

This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.

Monograph7 x 10 inch9781482249446B003875927O19781482249446EquivalenceElizabeth L. Scott at Berkeley.L.Amanda L. GolbeckTaylor & FrancisChapman and Hall/CRC2016-08-15GBP44.99500PaperbackPrintedBookEnglishMathematics & StatisticsStatistics & Probability / Astrophysics

This biography centers on the late Elizabeth Leonard Scotts use of statistical reasoning to promote the status of women in academia. Scott (1917- 1988) was a professor of statistics at the University of California at Berkeley (UCB). She was known for her scientific research in mathematical statistics, astronomy, and biostatistics, but she is especially remembered for her work on the status of academic women.

Reference6-1/8 x 9-1/4 inch9781498771016B003874559O19781498771016Exploring CalculusLabs and Projects with MathematicaCrista Arangala^^Karen A. YokleyTextbooks in MathematicsTaylor & FrancisChapman and Hall/CRC2016-06-15GBP31.99175PaperbackPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Analysis - Mathematics

This text is meant to be a hands-on lab manual that can be used in class everyday to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs can be used individually or in a sequence. Each lab consists of and explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections.The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way.

Textbook7 x 10 inch9781498704496B003875960O19781498704496Exploring the InfiniteAn Introduction to Proof and AnalysisJennifer KacmarcikTextbooks in MathematicsTaylor & FrancisChapman and Hall/CRC2016-08-15GBP57.99304HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Analysis - Mathematics

This is a textbook for an introductory course in analysis, combining topics from a transition course. At some schools, a transition course is combined over one or two semesters to introduce topics from real analysis. This allows students a more gradual approach to the difficult topics of analysis. Beginning with logic and sets, this text gradually raises the sophistication level of students coming out of calculus and proceeds into analysis topics.

Textbook6-1/8 x 9-1/4 inch9781498718875B003875997O19781498718875Finn's Thermal Physics, Third Edition 3Andrew RexTaylor & FrancisCRC Press2016-08-15GBP34.993rd Edition352HardcoverPrintedBookEnglishMathematics & StatisticsApplied Mathematics / Thermodynamics

This book continues to provide the most readable, concise, and easy-to-follow introduction to thermal physics. While maintaining the style of the original work, this new edition now covers statistical mechanics and incorporates worked examples systematically throughout the text. It also includes more problems and essential updates, such as discussions on superconductivity, magnetism, Bose-Einstein condensation, and climate change. Anyone needing to acquire an intuitive understanding of thermodynamics from first principles will find this third edition indispensible.

Textbook7 x 10 inch9781498764834B003876027O19781498764834Functional and Impulsive Differential Equations of Fractional OrderQualitative Analysis and ApplicationsIvanka Stamova^^Gani StamovTaylor & FrancisCRC Press2016-07-26GBP89.00300HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Analysis - Mathematics

The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations. The manifestations of different constructive methods are shown by demonstrating how these effective techniques can be applied to investigate qualitative properties of fractional systems solutions. Since many applications are also included, the demonstrated techniques and models can be used as an initiation into the study and development of fractional-order models for scientists in varying fields or even as a training tool for graduate students.

Reference6-1/8 x 9-1/4 inch9781482244731B003876028O19781482244731Fuzzy Differential Equations and Applications for Engineers and ScientistsS. Chakraverty^^Smita Tapaswini^^Diptiranjan BeheraTaylor & FrancisCRC Press2016-07-15GBP99.00225HardcoverPrintedBookEnglishEngineering & TechnologyMathematics & Statistics for Engineers / Analysis - Mathematics

When variables and parameters within differential equations are not defined exactly but are vague, imprecise or incomplete due to errors in measurement or other factors, one may use fuzzy environment in parameters, variables and initial conditions in place of crisp ones, turning the general differential equations into Fuzzy Differential Equations (FDEs). This book presents reliable and efficient numerical techniques for the solution of FDEs viz. fuzzy ordinary and partial, fuzzy linear and nonlinear and fuzzy arbitrary order differential equations.

Monograph6-1/8 x 9-1/4 inch9781498728331B003876039O19781498728331Generalized Additive ModelsAn Introduction with R, Second EditionR 2Simon WoodChapman & Hall/CRC Texts in Statistical ScienceTaylor & FrancisChapman and Hall/CRC2016-08-15GBP57.992nd Edition504HardcoverPrintedBookEnglishMathematics & StatisticsStatistics & Probability / Statistics

The second edition of this popular book provides a thorough grounding in linear, generalized linear and mixed models before providing a framework for GAMs. Although the material is technical, the author conveys the information in an accessible way with an eye to applications throughout. With approximately 100 extra pages, the new edition includes recent developments in methodology, more material on mixed models and smoothing, and substantially more examples that cover functional data, survival analysis and location scale models.

Textbook6-1/8 x 9-1/4 inch9781466590434B003874653O19781466590434Handbook of Applications of Chaos TheoryChristos H. Skiadas^^Charilaos SkiadasTaylor & FrancisChapman and Hall/CRC2016-05-26GBP127.001016HardcoverPrintedBookEnglishEngineering & TechnologyMathematics & Statistics for Engineers / Analysis - Mathematics

This book serves as a valuable reference for scientists, engineers and practitioners in the fields of science, technology and society where chaos theory is used to model unexplored cases and give rise to new applications. The need for a handbook which includes the main parts of the chaos theory in various fields, along with related applications, is obvious. The book is designed to be informative and useful to people from a variety of fields with different educations and specific needs.

Handbook7 x 10 inch9781498726481B003876132O19781498726481High-Order Adjoint Sensitivity Analysis Methodology for Large-Scale Nonlinear SystemsDan Gabriel CacuciAdvances in Applied MathematicsTaylor & FrancisChapman and Hall/CRC2016-07-15GBP89.00400HardcoverPrintedBookEnglishEngineering & TechnologyMathematics & Statistics for Engineers / Mathematical Physics

The author has achieved the breakthrough of generalizing the First-Order Theory presented in his previous books, to the efficient computations of arbitrarily high-order sensitivities for nonlinear systems (HONASAP). This breakthrough has many applications, especially when there is a need to quantify nonlinear behavior or to quantify uncertainties in design parameter/system responses in large-scale systems. This book presents the theory of the HONASAP with applications, from simple, analytically solvable, paradigm problems to large-scale applications in thermal hydraulics, particle transport, etc.

Reference6-1/8 x 9-1/4 inch9781498725347B003874726O19781498725347Introduction to Abelian Model Structures and Gorenstein Homological DimensionsMarco A. P. BullonesMonographs and Research Notes in MathematicsTaylor & FrancisChapman and Hall/CRC2016-05-26GBP70.99368HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Algebra

This book shows how to construct new Abelian model structures on the categories of modules and chain complexes from the notions of the Gorenstein-projective, injective, and flat dimensions. The method used for these new constructions is based on a theorem developed by Mark Hovey just a few years ago. The book provides a modern, readable introduction to the theory along with solid examples and nicely drawn diagrams that make proofs much easier to follow.

Monograph6-1/8 x 9-1/4 inch9781498772204B003876204O19781498772204Introduction to Computational Finance and Financial EconometricsEric ZivotTaylor & FrancisChapman and Hall/CRC2016-08-01GBP63.99500PaperbackPrintedBookEnglishMathematics & StatisticsApplied Mathematics / Financial Mathematics

This book presents mathematical, programming and statistical tools used in the real world analysis and modeling of financial data.The tools are used to model asset returns, measure risk, and construct optimized portfolios using the open source R programming language and Microsoft Excel. The author explains how to build probability models for asset returns, to apply statistical techniques to evaluate if asset returns are normally distributed, to use Monte Carlo simulation and bootstrapping techniques to evaluate statistical models, and to use optimization methods to construct efficient portfolios.

Textbook6-1/8 x 9-1/4 inch9781498736756B003876245O19781498736756Knot ProjectionsNoboru ItoTaylor & FrancisChapman and Hall/CRC2016-07-15GBP49.99200HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / Geometry

The book gives an overview of methods to study knot projections. The intuitiveness of the objects allows us to present current research to audiences with a general mathematical background without requiring any knowledge of special (topology) courses. The book can be taken as a first approach to topology, alternative to the one given by standard text books. Exercises will be included. Nevertheless, it is mainly an introduction to an active research area, including many open questions.

Reference6-1/8 x 9-1/4 inch9781498746229B003876383O19781498746229Monte-Carlo Methods and Stochastic ProcessesFrom Linear to Non-LinearEmmanuel GobetTaylor & FrancisChapman and Hall/CRC2016-07-15GBP44.99250HardcoverPrintedBookEnglishMathematics & StatisticsApplied Mathematics / Financial Mathematics

The goal is to offer an introductory book on Monte-Carlo methods applied to stochastic processes, starting from the standard case and going to the most recent models, which will appeal to a wide audience. Computational and mathematical aspects will be discussed in detail, in order to make the book accessible to non-specialists and to introduce them to the most advanced convergence tools of these Monte-Carlo methods. Modern arguments from probability, statistics and machine learning will be included in order to justify the convergence of algorithms and numerical schemes. Exercises and code (or pseudo-code) will be included. Additional material will be placed on a web site.

Textbook6-1/8 x 9-1/4 inch9781498719568B003876396O19781498719568Music Data AnalysisFoundations and ApplicationsDietmar Jannach^^Gunter Rudolph^^Igor Vatolkin^^Claus WeihsChapman & Hall/CRC Computer Science & Data AnalysisTaylor & FrancisChapman and Hall/CRC2016-07-15GBP44.99600HardcoverPrintedBookEnglishMathematics & StatisticsStatistics & Probability / Statistics

This book provides a comprehensive overview of music data analysis, from introductory material to advanced concepts. It covers various applications including transcription and segmentation as well as chord and harmony, instrument and tempo recognition. It also discusses the implementation aspects of music data analysis such as architecture, user interface and hardware. It is ideal for use in university classes with an interest in music data analysis. It also could be used in computer science and statistics as well as musicology.

Reference6-1/8 x 9-1/4 inch9781498741743B003874885O19781498741743Numerical Analysis with Algorithms and ProgrammingSantanu Saha RayTaylor & FrancisChapman and Hall/CRC2016-05-04GBP89.00728HardcoverPrintedBookEnglishComputer ScienceComputation / Computational Numerical Analysis

This book analyzes the basic techniques involved in providing efficient numerical solutions to problems in science and engineering and focuses on the development of numerical algorithms and detailed analysis of different numerical methods. While developing the basic understanding for the construction of numerical algorithms, it also emphasizes the applicability of these methods and explains the guaranteed accuracy that various methods provide for the efficiency and scalability of large-scale systems. In addition, it contains exercises, examples, and algorithms used for preparing computer programs in Mathematica.

Textbook7 x 10 inchhttp://124.205.215.187/zkImage/catalog/0/9781498741743.jpg9781498706261B003875138O19781498706261Sports MathAn Introductory Course in the Mathematics of Sports Science and Sports AnalyticsRoland B. MintonTaylor & FrancisChapman and Hall/CRC2016-06-26GBP44.99304HardcoverPrintedBookEnglishMathematics & StatisticsFoundations & Theorems

This is a textbook for a course in sports science or sports analytics. The opening section is on standard mathematical sports examples which are physics-related, including projectile motion and rotational motion. A middle section introduces several rating systems. Many of these matrix-based systems were made famous by the soon-defunct college football BCS system. The final section of the book contains statistical analysis of sports, taking in Moneyball-like techniques. Game strategies and player evaluation are the main goals of these chapters.

Textbook6-1/8 x 9-1/4 inch9781498730815B003875142O19781498730815Statistical Testing Strategies in the Health SciencesAlbert Vexler^^Alan D. Hutson^^Xiwei ChenChapman & Hall/CRC Biostatistics SeriesTaylor & FrancisChapman and Hall/CRC2016-05-20GBP76.99616HardcoverPrintedBookEnglishMathematics & StatisticsStatistics & Probability / Statistics

This book provides a broad compendium of statistical testing techniques, ranging from simple graphical and classical methods to newly developed empirical likelihood methods. These methods can be used to solve various problems encountered in medical and epidemiological studies. The book has a practical focus, with theoretical details kept to a minimum or relegated to appendices, and lots of real examples to illustrate the methods. The book includes some SAS and R code for implementation, with a supplementary website providing all code and data. The book has been written both for statisticians interested in the methods, and practitioners interested in applying them.

7 x 10 inchhttp://124.205.215.187/zkImage/catalog/0/9781498730815.jpg9781568811659B003877032O19781568811659The Triangle BookJohn H. ConwayTaylor & FrancisA K Peters/CRC Press2016-07-15GBP30.99400HardcoverPrintedBookEnglishMathematics & StatisticsAdvanced Mathematics / GeometryWith the advent of computer programs such as SketchPad, many high school students and amateur mathematicians are rediscovering interesting facts and theorems about triangles. The authors have created a nearly encyclopedoc collection of known and not so known aspects of the subject and present them in a beautifully illustrated triangular volume.7-1/2 x 9-1/4 inch9789814723688B003865930O19789814723688CIRCULARITY: A COMMON SECRET TO PARADOXES, SCIENTIFIC REVOLUTIONS AND HUMORAHARONI RONWorld Scientific PublishingWSPC2016-06-07SGD28.00200PaperbackPrintedBookEnglishMATHEMATICSMATHEMATICAL LOGIC AND FOUNDATIONShttp://www.worldscientific.com/worldscibooks/10.1142/98059789814723671 2016-06-07 Hardcover 200 SGD58.00;9781783268641B003865834O19781783268641MATH MAKES SENSE!A CONSTRUCTIVIST APPROACH TO THE TEACHING AND LEARNING OF MATHEMATICSQUINTERO ANA HELVIAWorld Scientific PublishingImperial College Press2016-03-08SGD38.00250PaperbackPrintedBookEnglishMATHEMATICSGENERAL MATHEMATICSThe methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics. Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding. The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers. Key Features: This book is grounded on solid mathematics learning research, as well as on the authors' own observations in the classroom, and so combines theoretical knowledge with practice Written in an accessible manner Gives educators ideas which they can easily implement in the classroomTeachers, trainee teachers, researchers interested in mathematics education, homeschool parents, and parents with children in primary/ elementary school.PostgraduateAcknowledgments; Preface; Fostering the Learning of Mathematics; The Construction of Mathematical Concepts and Interpretations; Numbering; Addition and Subtraction; Multiplication and Division; Fractions, Decimals, and Percent; Measuring; Exploring Space; Statistics and Probability; Patterns, Relations, and Functions; The Joy of Puzzles; Technology as a Tool to Potentiate Analysis and Interpretation; Evaluation; Conclusionhttp://www.worldscientific.com/worldscibooks/10.1142/p10569781783268634 2016-03-08 Hardcover 250 SGD78.00;9789814663649B003865921O19789814663649PROBLEMS FOR METAGROBOLOGISTS: A COLLECTION OF PUZZLES WITH REAL MATHEMATICAL, LOGICAL OR SCIENTIFIC CONTENTSINGMASTER DAVIDPROBLEM SOLVING IN MATHEMATICS AND BEYOND3World Scientific PublishingWSPC2016-01-15SGD28.00246PaperbackPrintedBookEnglishMATHEMATICSGENERAL MATHEMATICShttp://www.worldscientific.com/worldscibooks/10.1142/95319789814663632 2016-01-15 Hardcover 246 SGD75.00;9781551383118B003798731O1-49781551383118The Four Roles of the Numerate LearnerMary Fiore^^Maria Luisa LebarPembroke Publishers2016-02-28USD24.95128PaperbackPrintedBookEnglishNumeracy strategies|Teaching of a specific subject|Teaching skills & techniquesEffective teaching and assessment strategies to help students think differently about mathematics

Effective mathematics instruction and numeracy development are a major focus in classrooms today. The Four Roles of the Numerate Learner introduces a framework (sense maker, skill user, thought communicator, and critical interpreter) that supports an integrated approach to effective mathematics instruction.

This timely book builds on educators understanding of how to effectively teach mathematics and borrows from successful frameworks used to teach literacy. It considers the mathematical practices that students need to learn to construct mathematical knowledge, become mathematicians, and simply do mathematics. The goal is to provide multiple entry points into a new world of mathematics instructiona new way of thinking and learning where learners engage in critical thinking about numeracy and act on this knowledge. The framework emphasizes student voice with many opportunities for students to ask questions, pose problems, explore ideas, and change their thinking about mathematics and the way they see themselves as mathematicians.

The Four Roles of the Numerate Learner shows new and experienced teachers how to foster and support daily practice that permits students to use their diverse identities to build their mathematical knowledge and incorporate their cultural experiences.9789814551397B003865928O1449789814551397FUNCTIONAL INTERPRETATIONS: FROM THE DIALECTICA INTERPRETATION TO INTERPRETATIONS OF CLASSICAL AND CONSTRUCTIVE SET THEORYDILLER JUSTUSWorld Scientific PublishingWSPC2016-06-30SGD103.00250HardcoverPrintedBookEnglishMATHEMATICSLOGIC AND SET THEORYMonographhttp://www.worldscientific.com/worldscibooks/10.1142/89459788184875164B003789454O159788184875164Algebra and AnalysisTheory and ApplicationsNoor Mohd. KhanChina Publishers Services Ltd (CPS)Narosa Publishing House Pvt. Ltd.2016GBP74.95304HardcoverPrintedBookEnglishMathematicsPreface / List of Contributors / On the semigroup of order-decreasing partial isometries of a finite chain / Epimorphisms, dominions and inflations of clifford semigroups / On the traces of permuting-n-derivations in rings / Co-centralizing generalized derivations in prime rings with annihilator conditions / On additive mapping related to derivation in semiprime rings / A note on epi-retractable modules and rings / Idempotent generators of cyclic codes over Fp+vFp / Spectrum of upper double sequential band matrix over the spaces of null, convergent and bounded sequences / On a generalized difference sequence spaces defined by a double sequence of Orlicz Functions / On certain class of Zwwier I-convergent sequence spaces / Convergence of generalized Newton method using S-operator in Hilbert spaces / Common fixed point theorem on 2-metric spaces / Common fixed point theorems for six mappings in complex valued G-metric spaces / A new coupled coincidence theorem for generalized nonlinear contractions in ordered metric spaces / Coupled fixed point theorems for rational inequality in generalized metric spaces / Coupled fixed point theorem for multivalued mappings in Menger space / S-iteration process of Newton-like and applications / A note on the construction of Gabor frame generators / A short note on an algebraic study of a Banach space of class of integral functions / On the Behavior of Bilateral Mock Theta Functions-I / Multi-objective geometric programming in three-stage sample surveys / A note on RDI-method for solving transportation problems.9789814749466B003865927O159789814749466INTRODUCTION TO APPLIED MATRIX ANALYSIS, ANJIN XIAOQIN^^VONG SEAK-WENGSERIES IN CONTEMPORARY APPLIED MATHEMATICSWorld Scientific PublishingWSPC/HEP2016-06-30SGD64.00120HardcoverPrintedBookEnglishMATHEMATICSLINEAR AND MULTILINEAR ALGEBRA / MATRIX THEORYTextbookhttp://www.worldscientific.com/worldscibooks/10.1142/99329789814689397B003865829O159789814689397MULTIPLE ZETA FUNCTIONS, MULTIPLE POLYLOGARITHMS AND THEIR SPECIAL VALUESZetaZHAO JIANQIANGSeries on Number Theory and Its Applications12World Scientific Publishing2016-03-29SGD181.00618HardcoverPrintedBookEnglishMATHEMATICSALGEBRA & NUMBER THEORY (PURE MATHS)This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research. The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter. Key Features: For the first time, a detailed explanation of the theory of multiple zeta values is given in book form along with numerous illustrations in explicit examples The book provides for the first time a comprehensive introduction to multiple polylogarithms and their special values at roots of unity, from the basic definitions to the more advanced topics in current active research The book contains a few quite intriguing results relating the special values of multiple zeta functions and multiple polylogarithms to other branches of mathematics and physics, such as knot theory and the theory of motives Many exercises contain supplementary materials which deepens the reader's understanding of the main textAdvanced undergraduates and graduate students in mathematics, mathematicians interested in multiple zeta values.PostgraduateMonographMultiple Zeta Functions; Multiple Polylogarithms; Multiple Zeta (Star) Values; Multiple Harmonic Sums and Their Alternating Version; Finite Multiple Zeta Values; Finite Euler Sums; q-analogs of Multiple Harmonic (Star) Sums; Special Values of Multiple Polylogarithms at Roots of Unity; q-analogs of Multiple Zeta (Star) Valueshttp://www.worldscientific.com/worldscibooks/10.1142/96349789814663847B003865924O159789814663847NONABELIAN MULTIPLICATIVE INTEGRATION ON SURFACESYEKUTIELI AMNONWorld Scientific PublishingWSPC2015-07-16SGD75.00188HardcoverPrintedBookEnglishMATHEMATICSGEOMETRY & TOPOLOGYhttp://www.worldscientific.com/worldscibooks/10.1142/95379781681171791B003877364O1519781681171791A Concise Introduction to Linear AlgebraScitus Academics LLC2016USD149.00228HardcoverPrintedBookEnglishMathematicsLinear algebra is the branch of mathematics regarding vector spaces and linear mappings between such spaces. It includes the study of lines, planes, and subspaces, but is also concerned with properties common to all vector spaces. Linear algebra is the study of linear sets of equations and their transformation properties. Linear algebra allows the analysis of rotations in space, least squares fitting, solution of coupled differential equations, determination of a circle passing through three given points, as well as many other problems in mathematics, physics, and engineering. The matrix and determinant are extremely useful tools of linear algebra. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences. Because linear algebra is such a well-developed theory, nonlinear mathematical models are sometimes approximated by linear models. Linear algebra is central to both pure and applied mathematics. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations This book, A Concise Introduction to Linear Algebra, covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.6 x 9 inches9781681171876B003877372O151.219781681171876Introduction to Matrix Analysis and ApplicationsScitus Academics LLC2016USD149.00294HardcoverPrintedBookEnglishMathematicsMatrix analysis is the study of matrices and their algebraic properties. Some particular topics out of many include; operations defined on matrices (such as matrix addition, matrix multiplication and operations derived from these), functions of matrices (such as matrix exponentiation and matrix logarithm, and even sines and cosines etc. of matrices), and the eigenvalues of matrices (eigendecomposition of a matrix, eigenvalue perturbation theory). Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. The book treats some aspects of analysis related to matrices including such topics as matrix monotone functions, matrix means, majorization, entropies, quantum Markov triplets. There are several popular matrix applications for quantum theory. This book emphasizes on these aspects of matrix analysis from an efficient analysis point of view. Applications include such areas as signal processing, systems and control theory, statistics, Markov chains, and mathematical biology. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.6 x 9 inches9780198782926B003788913O151.249780198782926An Introduction to Clifford Algebras and SpinorsJayme Vaz, Jr.Oxford University Press2016-05-19GBP55.00256HardcoverPrintedBookEnglishPhysicsThis book is unique compared to the existing literature. It is very didactical and accessible to both students and researchers, without neglecting the formal character and the deep algebraic completeness of the topic along with its physical applications.Advanced undergraduate students, graduate students, and researchers in Physics, Mathematics, and Engineering.Postgraduate246 x 171 mm1 Preliminaries; 2 Exterior Algebra and Grassmann Algebra; 3 Geometric or Clifford Algebra; 4 Classification and Representation of the Clifford Algebras; 5 Clifford Algebras and Associated Groups; 6 Spinors; Appendix The Standard 2-Component Spinor Formalismhttp://ukcatalogue.oup.com/product/9780198782926.do9781470418458B003866246O1529781470418458Overgroups of Root Groups in Classical GroupsMichael AschbacherMemoirs of the American Mathematical Society241/1140American Mathematical Society (AMS)2016-04-30USD96.00184PaperbackPrintedBookEnglishThe author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups.Introduction 3-transpositions The $(V,f)$-setup Direct sum decompositions Subfield structures Modules for alternating groups Modules with $p=2$ The orthogonal space $\mathbf{F}_2^n$ Overgroups of long root subgroups Maximal overgroups of long root subgroups Subgroups containing long root elements Overgroups of short root subgroups Short root subgroups in symplectic groups of characteristic 2 Overgroups of subgroups in $\mathbf{R}_c$ in III Overgroups of subgroups in $\mathbf{R}_c$ in III when $q>3$ A special case for $q=3$ in III Overgroups of subgroups in $\mathbf{R}_c$ in III when $q=3$ A result of Stellmacher More case III with $q=3$ The proof of Theorem 1 A characterization of alternating groups Orthogonal groups with $q=2$ The proof of Theorem 2 Symplectic and unitary groups Symplectic and unitary groups with $q$ odd The proof of Theorem 3 Unitary groups with $q$ even The proofs of Theorems A and B References9781107065628B003862165O1539781107065628Commutative Algebra and Noncommutative Algebraic GeometryVolume 1 Expository ArticlesVolume 11David EisenbudMathematical Sciences Research Institute Publications67Cambridge University Press2015-11-01USD120.00462HardcoverPrintedBookEnglishMathematicsAlgebraIn the 201213 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013). There have been many significant developments in these fields in recent years; what is more, the boundary between them has become increasingly blurred. This was apparent during the MSRI program, where there were a number of joint seminars on subjects of common interest: birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, and tilting theory, to name a few. These volumes reflect the lively interaction between the subjects witnessed at MSRI. The Introductory Workshops and Connections for Women Workshops for the two programs included lecture series by experts in the field. The volumes include a number of survey articles based on these lectures, along with expository articles and research papers by participants of the programs.algebra, geometryPostgraduate15 b/w illus. 50 exercisesUniversity of California, BerkeleyPreface David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford and Michel Van den Bergh; 1. Growth functions Jason P. Bell; Syzygies, finite length modules, and random curves Christine Berkesch and Frank-Olaf Schreyer; 2. Vector bundles and ideal closure operations Holger Brenner; 3. Hecke algebras and symplectic reflection algebras Maria Chlouveraki; 4. Limits in commutative algebra and algebraic geometry Steven Dale Cutkosky; 5. Introduction to uniformity in commutative algebra Craig Huneke and Claudiu Raicu; 6. Noncommutative motives and their applications Matilde Marcolli and Gonalo Tabuada; 7. Infinite graded free resolutions Jason McCullough and Irena Peeva; 8. PoincarBirkhoffWitt theorems Anne V. Shepler and Sarah Witherspoon; 9. Frobenius splitting in commutative algebra Karen E. Smith and Wenliang Zhang; 10. From BrianonSkoda to ScherkVarchenko Duco van Straten; 11. The interplay of algebra and geometry in the setting of regular algebras Michaela Vancliff; 12. Survey on the D-module f s Uli Walther, with an appendix by Anton Leykin; 13. Introduction to derived categories Amnon Yekutieli.http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=97811070656289781107149724B003862166O1539781107149724Commutative Algebra and Noncommutative Algebraic GeometryVolume 2 Research ArticlesVolume 22David EisenbudMathematical Sciences Research Institute Publications68Cambridge University Press2015-11-01USD99.99302HardcoverPrintedBookEnglishMathematicsAlgebraIn the 201213 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013). There have been many significant developments in these fields in recent years; what is more, the boundary between them has become increasingly blurred. This was apparent during the MSRI program, where there were a number of joint seminars on subjects of common interest: birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, and tilting theory, to name a few. These volumes reflect the lively interaction between the subjects witnessed at MSRI. The Introductory Workshops and Connections for Women Workshops for the two programs included lecture series by experts in the field. The volumes include a number of survey articles based on these lectures, along with expository articles and research papers by participants of the programs.algebra, geometryPostgraduate10 b/w illus.University of California, BerkeleyPreface David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford and Michel Van den Bergh; 1. When is a squarefree monomial ideal of linear type? Ali Alilooee and Sara Faridi; 2. Modules for elementary abelian groups and hypersurface singularities David J. Benson; 3. Ideals generated by superstandard tableaux Andrew Berget, Winfried Bruns and Aldo Conca; 4. Zariski topologies on stratified spectra of quantum algebras Kenneth A. Brown and Kenneth R. Goodearl; 5. The derived category of a graded Gorenstein ring Jesse Burke and Greg Stevenson; 6. Singularities with respect to MatherJacobian discrepancies Lawrence Ein and Shihoko Ishii; 7. Reduction numbers and balanced ideals Louiza Fouli; 8. Unipotent and Nakayama automorphisms of quantum nilpotent algebras Kenneth R. Goodearl and Milen T. Yakilmov; 9. Formal fibers of prime ideals in polynomial rings William Heinzer, Christel Rotthaus and Sylvia Wiegand; 10. Bounding the soc