Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics)

Rating:
Summary: Well written text on modular forms and elliptic curves
Review: I carefully worked through most of Koblitz's book. It is well written and worth the time to study if you are interested in modular forms and elliptic curves.

Rating:
Summary: Well written text on modular forms and elliptic curves
Review: The book provides an excellent and readable introduction to elliptic curves, using the complex analysis approach. It gives detailed proof to many theorems, and the exercises for each chapter are wonderful. It is a good supplement for those who use another book by Koblitz: Algebraic Aspects of Cryptography (AAC). It is funny that Koblitz has copied and pasted some of the paragraphs from Introduction to Elliptic Curves and Modular Forms to AAC!

Rating:
Summary: Clearly the best
Review: This is not an easy book---it's certainly intended for graduate students---but it's also clearly the best introduction to the mathematics that give rise to the Taniyama-Shimura conjecture and the ideas that underlie the Wiles proof of Fermat's Last Theorem, and as such it deserves a prominent place in the world's intellectual life. And you have to love a math text that has a beautiful frontispiece (a sketch by Fomenko whose mathematical meaning I am still trying to work out).