Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications) | 
 enlarge | Author: Lawrence C. Washington
Publisher: Chapman & Hall/CRC
Category: Book
List Price: $89.95
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Rating:  1 reviews
Sales Rank: 779987
Media: Hardcover
Edition: 2
Pages: 536
Number Of Items: 1
Shipping Weight (lbs): 1.6
Dimensions (in): 19 x 6 x 1.3
ISBN: 1420071467
Dewey Decimal Number: 516.352
EAN: 9781420071467
Publication Date: April 3, 2008
Availability: Usually ships in 1-2 business days
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Product Description
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.
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| Customer Reviews:
review of "Elliptic Curves" by Washington July 31, 2008
G. Sanders (Corpus Christi, TX)
2 out of 3 found this review helpful
I own both the first and second editions of this book. I am an amateur mathetician; I don't think there is a siginicant difference in the two editions, if you are a non-professional like me. They are both excellent books, and almost exponentially inrease in difficulty as one gets further into them. The writing is less dense, and more amateur-friendly, than Washington's other famous book on cyclotomtic theory. There is some surprising humor in "Elliptic Curves" too. Washington makes a clever pun on Fermat's marginalia. I would gladly recommend either addition---unless you are a Faltings to begin with.
charlie sanders
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