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- Jacobi was the first to apply elliptic functions to number theory, for example proving Fermat's two-square theorem and Lagrange's four-square theorem, and similar results for 6 and 8 squares.
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18 February 1851. Berlin, Germany. Summary. Carl Jacobi made basic contributions to the theory of elliptic functions. He carried out important research in partial differential equations of the first order and applied them to the differential equations of dynamics. View five larger pictures. Biography.
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Carl Gustav Jacob Jacobi (/ dʒ ə ˈ k oʊ b i /; German:; 10 December 1804 – 18 February 1851) was a German mathematician who made fundamental contributions to elliptic functions, dynamics, differential equations, determinants, and number theory. His name is sometimes given as Karl Gustav Jakob.
Jacobi first became known through his work on elliptic functions, which gained the admiration of the Frenchman Adrien-Marie Legendre, one of the leading mathematicians of his day. Unaware of similar endeavours by the Norwegian mathematician Niels Henrik Abel, Jacobi formulated a theory of elliptic functions based on four theta functions.
- The Editors of Encyclopaedia Britannica
May 29, 2018 · In his ten hours a week of lecturing in the winter of 1835-1836 Jacobi for the first time founded the theory on the theta function, proving the famous theorem about the sum of products of four theta functions and defining the kinds of elliptic functions as quotients of theta functions.
It was while serving as a mathematics professor that he made fundamental contributions to elliptic functions, dynamics, differential equations and number theory. He penned a vast amount of manuscripts, some of which were published in his lifetime and some posthumously.
German Mathematician. K arl Jacobi made his most notable contributions to mathematics in the area of elliptic functions. His book Concerning the Structure and Properties of Determinants was an important work in that branch of mathematics, and his work on partial differential equations proved important in the formulation of quantum mechanics.
Dec 10, 2020 · mathematics 10. December 2020 0 Tabea Tietz. Carl Gustav Jacob Jacobi (1804 – 1851) On December 10, 1804, German mathematician Carl Gustav Jacob Jacobi was born. He made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory.
