Johann Karl Friedrich Gauss

Karl Friedrich Gauss was born in 1777 and died in 1855. He was a German mathematician, physicist, and astronomer. Gauss was educated at the Caroline College, Brunswick, and the Univ. of Göttingen, his education and resileer(a) research being financed by the Duke of Brunswick. Following the death of the duke in 1806, Gauss became director (1807) of the astronomical observatory at Göttingen, a affix he held until his death. He was considered the vastest mathematician of his time and as the qualified of Archimedes and Newton, Gauss showed his genius early and made many of his near-valuable discoveries forrader he was twenty. Gauss was extremely careful and rigorous in each(prenominal) his work, insisting on a complete inference of any result before he would hold out it. As a consequence, he made many discoveries that were not assign to him and had to be remade by others later; for example, he anticipated Bolyai and Lobachevsky in non-Euclidean geometry, Jacobi in the biv alent periodicity of elliptic functions, Cauchy in the opening of functions of a conglomerate variable, and Hamilton in quaternions. However, his published works were affluent to establish his character as iodine of the greatest mathematicians of all time. Gauss early ascertained the fair play of quadratic reciprocity and, on an individual instauration of Legendre, the system of to the lowest degree squares. He showed that a regular polygonal shape of n sides can be constructed using scarcely clench and straight edge only if n is of the form 2p(2q+1)(2r+1)..., where 2q + 1, 2r + 1,...are prime(a) numbers. In 1801, following the discovery of the asteroid Ceres by Piazzi, Gauss calculated its orbit on the basis of very virtually accurate observations, and it was rediscovered the following year in the precise pose he had predicted for it. He tested his method again successfully on the orbits of other asteroids discovered over the next hardly a(prenominal) years and f inally presented in his Theoria motus corpor! um celestium (1809) a complete reciprocation of the calculation of the orbits of planets and comets from observational data. From 1821, Gauss was engaged by the governments of Hanover and Denmark in connectedness with geodetic survey work. This led to his extensive investigations in the dead reckoning of space curves and surfaces and his important contributions to differential geometry as swell up as to such practical results as his invention of the heliotrope, a swirl used to measure distances by means of reflected sunlight.

Gauss was as well fire in electric and magnetic phenomena and after well-nigh 1830 was regard in research in collaboration with Wilhelm Weber. In 1833 he invented the electric telegraph. He also made studies of telluric magnetic attraction and electromagnetic theory. During the last years of his lifetime Gauss was concerned with topics at one time falling downstairs the general heading of topology, which had not soon enough been real at that time, and he correctly predicted that this subject would generate of great importance in mathematics. Contributions:?At 24 years of age, he wrote a book called Disquisitines Arithmeticae, which is regarded today as one of the about influential books written in math. ?He also wrote the number 1 modern book on number theory, and be the law of quadratic reciprocity. ?In 1801, Gauss discovered and developed the method of least squares fitting, 10 years before Legendre, unfortunately, he didnt publish it. ?Gauss prove that every number is the sum of at most terzetto triangular numbers and developed the algebra of con gruences. Famous ingeminate:Ask her to waiting a mo! ment - I am close to done.bibliographyinfo.comwikipediaboigraphy.com If you require to get a full essay, order it on our website: BestEssayCheap.com

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