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Full Description
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.
Contents
Geometry of cubic curves Elliptic functions Arcs of curves and elliptic integrals Abel's theorem on division of lemniscate Algebraic equations Theta functions and solutions of quintic equations Bibliography Index.
