株式会社極東書店トップ商品一覧Elliptic Curves : Number Theory and Cryptography, Second Edition. 2nd edition.

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Elliptic Curves

Elliptic Curves : Number Theory and Cryptography, Second Edition. 2nd edition.

・ISBN 978-1-4200-7146-7 hard GB£ 210.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-429-14080-8

著者・編者Washington, Lawrence C.,
シリーズDiscrete Mathematics and Its Applications
出版社(Chapman & Hall/CRC, UK)
出版年月2008
ページ数532 pp.
言語ENG
ニュース番号<M25-10147 M25-636>

解説

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 complete treatment of the Weil and Tate-Lichtenbaum pairings
  • Doud's analytic method for computing torsion on elliptic curves over Q
  • An explanation of how to perform calculations with elliptic curves in several popular computer algebra systems
  • Taking 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 on 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.