Hello every bodyWelcome to my presentation

Our presentation topic:“Biography of Johann Carl

Friedrich Gauss”

Presentated by :Names:

Md. Habibur Rahman

Life and works of Johann Carl Friedrich

GaussHe was born on April 30, 1777, to a peasant couple in Brunswick, in what is now western Germany. He was died in 23 february 1855 (aged 77)

He was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, matrix theory, and optics.

At the age of seven started elementary school, and his potential was noticed almost immediately. In 1788 Gauss began his education at the Gymnasium with the help of Buttner and Bartels, where he learnt high German and Latin. Then he entered Brunswick Collegium Carolinum and left it to study at “Gottingen University”. In 1799 he received a degree in Brunswick.

In 1832 after Gauss and Weber finished producing a a geodesic survey of Hanover began investigating the theory of terrestrial magnetism and electricity

Gauss made many discoveries including the discovery that there can never be a magnetic monopole, that is to say, there can never be a magnet with only one pole

The Gauss and electromagnetic fields

He came to this conclusion because he understood that magnetic field lines are always in a closed loop unlike electrical field lines.

Gauss's work can be used to determine the magnetic flux at the surface of a symmetrical object where the charge is uniformly spread over the surface of that object. Gauss used his research to derive other important fundamental ideas about electricity and magnetism.

When Einstein thought about the nature of space and time he realised that space the correct Geometry of our universe is a hyperbolic geometry (non-euclidean geometry) which is a 'curved' one. Many present-day cosmologists feel that we live in a three dimensional universe that is curved into the 4th dimension and that Einstein's theories were proof of this.

Role in non-euclidean geometry and relativity

Hyperbolic Geometry plays a very important role in the Theory of General Relativity so Gauss and his friends who developed early models of non-euclidean geometry made their contributions to Einstein's work on relativity.

Gauss Elimination Method

Gauss elimination method’s purpose is to find the solution’s to a linear syestem.It is used to convert syestems to an upper traingular form.The fundamental idea is to add multiples of one equation to the others in order eliminate a variable and to continue this process until only one variable is left . Once this final variable determined,it’s value is substituted back into the other questions in order to evaluate the remaining unknowns .

Gauss Elimination Method We have now eliminated the x term from the last two questions. Now simplify the last two questions dividing by 2 and 3,respectively:

x-3y+z=40x-y+3z=-50x-5y-3z=11

To eliminate the y term in the last question,multiply the second question by -5 and add it to the third question:We have now eliminated the x term from the last two questions. Now simplify the last two questions dividing by 2 and 3,respectively:

x-3y+z=40x-y+3z=-50x-5y-3z=11

To eliminate the y term in the last question,multiply the second question by -5 and add it to the third question:

Every polynomial equation having complex coefficients and degree ≥ 1 has at least one complex root. It is equivalent to the statement that a polynomial p(z) of degree n has values z1 for which p(zi) = 0 . Such values are called polynomial roots. An example of a polynomial with a single root of multiplicity> 1 is,

Z^2- 2z+1=(z-1)(z-1) which has z=1 as a root of multiplicity 2.

Fundamental Theorem of Algebra

Vertical least squares fitting proceeds by finding the sum of the squares of the vertical deviations R^2 of a set of

The standard errors for a and b are

Least Square Fitting

He did not want any of his sons to go into mathematics or science for “fear of sullying the family name”

Perfectionist and diligent worker; told his wife was dying, supposedly said, “tell her to wait a moment till I’m done”

Made many discoveries which he never published

Preferred to not show intuition of proofs – wanted them to appear “out of thin air”

Interesting Facts

Fellow of the Royal Society at 1804 Lalande Prize(1810)was an award for scientific

advances in astronomy Fellow of the Royal Society of the Edinburgh

at 1820 Copley Medal(1838) is a scientific award given

by the Royal Society, London, for "outstanding achievements in research in any branch of science.

Honours Awarded to Carl Friedrich Gauss