Elliptic Curves : Number Theory and Cryptography, Second Edition
Book Details
Format
Hardback or Cased Book
Book Series
Discrete Mathematics and Its Applications
ISBN-10
1420071467
ISBN-13
9781420071467
Publisher
Taylor & Francis Ltd
Imprint
Chapman & Hall/CRC
Country of Manufacture
US
Country of Publication
GB
Publication Date
Apr 3rd, 2008
Print length
532 Pages
Weight
1,122 grams
Dimensions
24.40 x 16.70 x 3.00 cms
Product Classification:
Mathematics
Ksh 36,000.00
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Like its bestselling predecessor, this second edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. It now includes new chapters on isogenies and hyperelliptic curves, a more complete treatment of the TateLichtenbaum pairing, alternative coordinate systems and related computational issues, and Douds analytic method for computing torsion on elliptic curves over Q. This edition also discusses how to perform computations with elliptic curves in several popular computer algebra systems. Basic exercises appear at the end of each chapter.
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. 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 TateLichtenbaum pairings Douds 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 Fermats Last Theorem. Relevant abstract algebra material on group theory and fields can be found in the appendices.
New to the Second Edition
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