Description
Book SynopsisPresents 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 greatest achievements in the history of mathematics. Crucial arguments, including the so-called $3$-$5$ trick, $R=T$ theorem, are explained in depth.
Trade ReviewThe book ... is very clear and thorough, and may be recommended to anyone interested in understanding one of the deepest results of the twentieth century in mathematics." -
Zentralblatt fur MathematikTable of Contents
- Contents for Fermat's Last Theorem: Basic Tools
- Synopsis
- Elliptic curves
- Modular forms
- Galois representations
- The 3-5 trick
- $R=T$
- Commutative algebra
- Deformation rings
- Appendix A. Supplements to scheme theory
- Bibliography
- Symbol index
- Subject index
- Contents for Fermat's Last Theorem: The Proof
- Modular curves over $\mathbf{Z}$
- Modular forms and Galois representations
- Hecke modules
- Selmer groups
- Appendix B. Curves over discrete valuation rings
- Appendix C. Finite commutative group scheme over $\mathbf{Z}_p$
- Appendix D. Jacobian of a curve and its Neron model
- Bibliography
- Symbol index
- Subject index
