Elliptic Curves: Number Theory and Cryptography, Second

Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

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 Tateâ€“Lichtenbaum pairings
Doudâ€™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 Fermatâ€™s Last Theorem. Relevant abstract algebra material on group theory and fields can be found in the appendices.

Country	USA
Author	Lawrence C. Washington
Binding	Kindle Edition
Edition	2
EISBN	9781420071474
Format	Kindle eBook
Label	Chapman and Hall/CRC
Manufacturer	Chapman and Hall/CRC
NumberOfPages	536
PublicationDate	2008-04-03
Publisher	Chapman and Hall/CRC
ReleaseDate	2008-04-03
Studio	Chapman and Hall/CRC

Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

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