Bücher von Carl Gustav Jacob Jacobi

Fundamenta Nova Theoriae Functionum Ellipticarum est opus magnum a Carolo Gustavo Jacobi anno millesimo octingentesimo vigesimo nono editum. In hoc libro, Jacobi theoriam functionum ellipticarum, quae sunt solutio equationis ellipticae, investigat. Jacobi methodos novas et ingeniosas adhibet ad resolvendum problemata geometrica et physicam, quae in variis disciplinis, ut mathematica, mechanica, ac electricitate, utile sunt. Opus hoc notabile est non solum propter profunditatem investigationis, sed etiam propter elegantiam et simplicitatem demonstrationum. Fundamenta Nova Theoriae Functionum Ellipticarum est certe unum ex libris classicis mathematicae, quod adhuc studiis modernis utile est.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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