Elliptic Functions and Elliptic Integrals (Translations of Mathematical Monographs)

This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis. Discusses the geometry and arithmetic of elliptic curves. This book includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Viktor Prasolov, Yuri Solovyev. Translated From The Original Russian Manuscript By D. Leites--t.p. Verso. Includes Bibliographical References And Index.