This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms. Written for b... » 

This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms. Written for beginning graduate students and advanced undergraduates, it does not require background in algebraic number theory or algebraic geometry, and it contains exercises throughout. «