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Notes on Fermat's Last Theorem
Alfred J. van der Poorten
Table of Contents
Quasi-Historical Introduction.
Remarks on Unique Factorization.
Elementary Methods.
Kummer's Arguments.
Why Do We Believe Wiles?
More Quasi-History.
Diophantus and Fermat.
A Child's Introduction to Elliptic Functions.
Local and Global.
Curves.
Modular Forms.
The Modularity Conjecture.
The Functional Equation.
Zeta Functions and L -Series.
The ABC-Conjecture.
Heights.
Class Number of Imaginary Quadratic Number Fields.
Wiles' Proof.
Appendices.
Index.