Joseph H. Silverman Books
Modular Forms and Fermat's Last Theorem
By Gary Cornell, Joseph H. Silverman, Glenn Stevens
The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions, modular curves, Galois cohomology...
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By Gary Cornell, Joseph H. Silverman, Glenn Stevens
The book will focus on two major topics: (1) Andrew Wiles' recent proof of the Taniyama-Shimura-Weil conjecture for semistable elliptic curves; and (2) the earlier works of Frey, Serre, Ribet showi...
Read MoreRational Points on Elliptic Curves
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. "Rational Points on Elliptic Curves" stresses this interplay as it develops the basic theo...
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