This book is an introduction to elliptic curves, ranging from elementary topics to current research. This new, 2nd edition, contains three new chapters. The fir... » 

This book is an introduction to elliptic curves, ranging from elementary topics to current research. This new, 2nd edition, contains three new chapters. The first is an outline of Wiles's proof of Fermats's last theorem, the twoother chapters concern higher-dimensional analoques of elliptic curves, including K3 surfaces and Calabi-Yau manifolds. «