Rational Points on Elliptic Curves

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The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic the

Friendly Introduction to Number Theory, a (Classic Version)

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For one-semester undergraduate courses in Elementary Number Theory This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaim

Advanced Topics in the Arithmetic of Elliptic Curves

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In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, va

The Arithmetic of Elliptic Curves

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The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the ar

An Introduction to Mathematical Cryptography

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This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes.