Fermats last theorem : Basic tools

Includes index

Includes bibliographical references

Chapter 0: Synopsis
Chapter 1: Elliptic Curves
Chapter 2: Modular Forms
Chapter 3: Galois Representations
Chapter 4: The 3–5 Trick
Chapter 5: R=T
Chapter 6: Commutative Algebra
Chapter 7: Deformation Rings

This book, together with the companion volume, Fermat's Last Theorem: The proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics. Crucial arguments, including the so-called 3-5 trick, R=T theorem, etc., are explained in depth.