The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic the

The book surveys some recent developments in the arithmetic of modular elliptic curves. It places a special emphasis on the construction of rational points on e

The book divides naturally into several parts according to the level of the material, the background required of the reader, and the style of presentation with

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops th

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the ar