About the Book: This book introduces number theory through elliptic curves, assuming basic algebra, complex analysis, and topology. It develops the theory of elliptic curves, proves Mordell’s theorem, explains the Birch–Swinnerton-Dyer conjecture, and covers the link between elliptic curves, modular forms, and Fermat’s Last Theorem. The first three chapters build the foundational theory, and this edition is fully revised and updated.