 Carl Gustav Jacob Jacobi

A German mathematician who made major contributions to elliptic functions, number theory and Hamiltonian mechanics. His 1829 work on elliptic functions developed a theory using theta functions, during the same period in which Niels Henrik Abel independently advanced the subject.

He also investigated first-order partial differential equations arising in dynamics and wrote extensively on determinants. The Jacobian determinant bears his name: it measures local volume scaling for a differentiable change of variables. This connects his work to both coordinate transformations in multivariable calculus and the study of dynamical equations. His Königsberg teaching helped establish research seminars as a way to train mathematicians. ^[ref]

Homepage: mathshistory.st-andrews.ac.uk/Biographies/Jacobi/

Carl Gustav Jacob Jacobi (1804-1851) was a prominent German mathematician known for his significant contributions to various areas of mathematics, particularly in the fields of algebra, analysis, and mathematical physics. He is best known for his work on elliptic functions, theory of determinants, and the theory of dynamic systems. Jacobi was one of the first mathematicians to systematically study elliptic functions and made important advances in the development of elliptic integrals.