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 selfcontained and assumes as prerequisites only the standard oneyear courses of algebra and analysis. Readership Undergraduate students, graduate students, research mathematicians and physicists interested in elliptic functions. Reviews "A wonderful choice of topics, delivered in a concrete and lively style ... provide a lively introduction to many classical topics that lie at the foundations of contemporary algebra, number theory and algebraic geometry."  Mathematical Reviews "The strong point of [this] book is the intertwining of complex analysis with algebraic geometry. The book is in fact an elementary introduction to the arithmetic of elliptic curves as well as a treatment of the theory of elliptic functions. the ideal book for a reading course!"  Mathematische Semesterberichte "Provides a great panoramic view for the beginner in the field. The style of writing is very cultured, with a sympathetic understanding and respect of the pioneering work of the old masters, and with a delightful sense of aesthetics and beauty. This book really breathes the charm and the fine art of the mathematics of Abel's era, and it is mainly this particular feature that makes the book under review fairly unique and highly valuable. Experts and teachers can benefit from the reading of this text likewise."  Zentralblatt MATH Table of 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
