Elliptic curves : number theory and cryptography /

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Bibliographic Details
Author / Creator:Washington, Lawrence C.
Edition:2nd ed.
Imprint:Boca Raton, FL : Chapman & Hall/CRC, ©2008.
Description:1 online resource (xviii, 513 pages) : illustrations
Language:English
Series:Discrete mathematics and its applications
Discrete mathematics and its applications.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/13593561
Hidden Bibliographic Details
ISBN:9781420071474
1420071475
1420071467
9781420071467
Notes:Includes bibliographical references (pages 499-508) and index.
Summary:Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, 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 curves - A discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issues - A more comple.
Other form:Print version: Washington, Lawrence C. Elliptic curves. 2nd ed. Boca Raton, FL : Chapman & Hall/CRC, ©2008 9781420071467
Standard no.:9781420071467
Table of Contents:
  • Cover; Title; Copyright; Preface; Preface to the Second Edition; Suggestions to the Reader; Contents; Chapter 1: Introduction; Chapter 2: The Basic Theory; Chapter 3: Torsion Points; Chapter 4: Elliptic Curves over Finite Fields; Chapter 5: The Discrete Logarithm Problem; Chapter 6: Elliptic Curve Cryptography; Chapter 7: Other Applications; Chapter 8: Elliptic Curves over Q; Chapter 9: Elliptic Curves over C; Chapter 10: Complex Multiplication; Chapter 11: Divisors; Chapter 12: Isogenies; Chapter 13: Hyperelliptic Curves; Chapter 14: Zeta Functions; Chapter 15: Fermat's Last Theorem.