JACOBI, Karl Gustav Jacob (Jacobi Carl Gustav Jacob)( German mathematician.)
Comments for JACOBI, Karl Gustav Jacob (Jacobi Carl Gustav Jacob)
Biography JACOBI, Karl Gustav Jacob (Jacobi Carl Gustav Jacob)
(18041851) Born December 10, 1804 in Potsdam. Educated at the University of Berlin. From 1826 to 1844  Professor of Mathematics, University of KцTnigsberg, then a professor at Berlin University. His first job  a new framework of the theory of elliptic functions (Fundamenta nova theoriae functionum ellipticarum)  Jacobi published in 1829. The theory of Jacobi elliptic functions built on the basis of the four TN. thetafunctions defined by infinite series. Solving the problem of the treatment of hyperelliptic integrals, found that such treatment is possible using a function of more than one variable. Thus was born the theory of Abelian functions of p variables, which has become an important area of mathematics 19. Famous work on the functional Jacobian determinant construction and properties of determinants (De formatione et proprietatibas determinantium, 1841). The name of the scientist is wellknown functional determinant  the Jacobian. A number of works devoted to the theory of Jacobi's differential equations in partial derivatives and their application to the solution of some problems in the dynamics. One of these works are Lectures on the dynamics (Vorlesungen ber Dynamik), published in 1866 and accounts 18421843. An interesting chapter in them is the definition of geodesic lines on an ellipsoid  a problem leads to finding the balance between the two Abelian integrals. Jacobi died in Berlin on Feb. 18, 1851.
