Karl Gustav Jacbo (1804.12.10-1852.2.18) is a German mathematician and physicist.

He is one of the founders of elliptic function theory, and the representative figure is the new foundation of elliptic function theory. He established the derivative formula of function determinant, introduced "Jacobian determinant", and put forward the role of these determinants in transforming and solving partial differential equations in multiple integrals. He has made great contributions to number theory, linear algebra, variational theory, differential equation theory, complex variable function, mathematical history and so on. Many terms in mathematics are related to Jacobi's name.