| | |  | Computer Security | Home » » Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications) | | | | | | | Product Promotions: | | | | | 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. | | | Product Details: | | | Author:
| Lawrence C. Washington | | Hardcover:
| 536 pages | | Publisher:
| Chapman and Hall/CRC | | Publication Date:
| April 03, 2008 | | Language:
| English | | ISBN:
| 1420071467 | | Product Width:
| 1.56 centimeters | | Product Height:
| 2.43 centimeters | | Product Weight:
| 0.02 pounds | | Package Length:
| 9.4 inches | | Package Width:
| 6.2 inches | | Package Height:
| 1.3 inches | | Package Weight:
| 1.95 pounds | | Average Customer Rating:
|  based on 2 reviews |
| | | | Customer Reviews: | |
Average Customer Review:
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1 of 2 found the following review helpful:
 A DisappointmentApr 05, 2012
By David
As an introduction, it is fairly nice because Washington does a wide inspection of the theory. It lets you crawl. However, in hindsight, efforts would be better spent on another text. The explanations are unnecessarily cumbersome and overall lack support. For example, chapter 9 has a mountain of theory behind it but the mannar it is presented makes the chapter appear dull and a dead end. Connections are not made in most chapters since Washington hardly uses algebra (again depriving the book of motivation). If you care about rigor or motivation don't consult this book. Washington's hand hurts from hand waving. The book should be reserved to only those people who have no dreams of applying the information.
I painstakingly studied several chapters as an undergraduate. Afterwards, I relearned everything. I salvaged very little mathematically from Washington. There are numerous texts at all levels that would be more appropriate.
If you are a fan of Washington, I fully recommend his text on cyclotomic fields.
6 of 11 found the following review helpful:
 review of "Elliptic Curves" by WashingtonJul 31, 2008
By G. Sanders
"Charlie Sanders"
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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