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Author: Lawrence C. Washington
ISBN : 1420071467
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Download for free books Free Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications) [Hardcover] from with Mediafire Link Download Link
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 curvesA discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issuesA more complete treatment of the Weil and Tate–Lichtenbaum pairingsDoud’s analytic method for computing torsion on elliptic curves over QAn explanation of how to perform calculations with elliptic curves in several popular computer algebra systemsTaking 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.
Direct download links available for Free Elliptic Curves: Number Theory and Cryptography, Second Edition
- Series: Discrete Mathematics and Its Applications
- Hardcover: 536 pages
- Publisher: Chapman and Hall/CRC; 2 edition (April 3, 2008)
- Language: English
- ISBN-10: 1420071467
- ISBN-13: 978-1420071467
- Product Dimensions: 1.3 x 6.4 x 9.4 inches
- Shipping Weight: 2 pounds (View shipping rates and policies)
Free Elliptic Curves: Number Theory and Cryptography, Second Edition
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
By G. Sanders
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