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This book explores the theory of elliptic curves, integrating algebra, geometry, analysis, and number theory. Aimed at advanced undergraduates, it offers an accessible introduction to Diophantine equations and arithmetic geometry. Topics include group structures, key theorems, and applications in cryptography and Fermat's Last Theorem.
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Rational Points on Elliptic Curves, John T. Tate, Joseph Silverman
- Language
- Released
- 2015
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- (Paperback)
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- Title
- Rational Points on Elliptic Curves
- Language
- English
- Authors
- John T. Tate, Joseph Silverman
- Released
- 2015
- Format
- Paperback
- ISBN13
- 9783319307572
- Description
- This book explores the theory of elliptic curves, integrating algebra, geometry, analysis, and number theory. Aimed at advanced undergraduates, it offers an accessible introduction to Diophantine equations and arithmetic geometry. Topics include group structures, key theorems, and applications in cryptography and Fermat's Last Theorem.