Fundamenta nova theoriae functionum ellipticarum

摘要: Carl Gustav Jacob Jacobi (1804–51) was one of the nineteenth century's greatest mathematicians, as attested by diversity mathematical objects named after him. His early work on number theory had already attracted attention Friedrich Gauss, but his reputation made elliptic functions. Elliptic integrals been studied for a long time, in 1827 and Niels Henrik Abel realised independently that correct way to view them means their inverse functions - what we now call The next few years witnessed flowering subject two mathematicians pushed ahead. Adrien-Marie Legendre, an expert old theory, wrote: 'I congratulate myself I have lived enough witness these magnanimous conflicts between equally strong young athletes'. This Latin work, first published 1829, is Jacobi's pioneering account new theory.