Elliptic Curves: Number Theory and Cryptography by Lawrence Washington

Description: Elliptic Curves: Number Theory and Cryptography, 2nd Ed. (2008) by Lawrence C. WashingtonISBN: 1-4200-7146-7Publisher: CRC Press Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, 2nd Ed. develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional material, this edition offers more comprehensive coverage of the fundamental theory, techniques, and applications of elliptic curves. New to the Second Edition:Chapters on isogenies and hyperelliptic curvesA discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issuesA more complete treatment of the Weil and Tate-Lichtenbaum pairingsDoud's analytic method for computing torsion on elliptic curves over QAn explanation of how to perform calculations with elliptic curves in several popular computer algebra systemsTaking a basic approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. It introduces elliptic curves over finite fields early in the text, before moving to interesting applications, such as cryptography, factoring, and primality testing. The book also discusses the use of elliptic curves in Fermat's Last Theorem. Relevant abstract algebra material on group theory and fields can be found in the appendices. Contents: 1. Introduction2. The Basic Theory3. Torsion Points4. Elliptic Curves over Finite Fields5. The Discrete Logarithm Problem6. Elliptic Curve Cryptography7. Other Applications8. Elliptic Curves over Q9. Elliptic Curves over C10. Complex Multiplication11. Divisors12. Isogenies13. Hyperelliptic Curves14. Zeta Functions15. Fermat's Last Theorem* See images for detailed contents listing Book Condition: The book is in overall excellent condition, with minor wear and tear to the cover. The inside pages do not have any markings, and the binding is in excellent condition.

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End Time: 2024-01-31T00:44:52.000Z

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