Elliptic Curves Number Theory and Cryptography~tqw~ darksiderg

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    *******************************************************************************<br /> Elliptic Curves: Number Theory and Cryptography<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 5,142,264 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> Like its bestselling predecessor, this book develops the theory of elliptic <br /> curves to provide a basis for both number theoretic and cryptographic <br /> applications. This edition now includes alternative coordinate systems and <br /> related computational issues, a more elementary treatment of the Tate&mdash;<br /> Lichtenbaum pairing, additional elliptic curve cryptosystems, and Doud's <br /> analytic method for computing torsion on elliptic curves over Q. It also <br /> contains new chapters on isogenies and hyperelliptic curves as well as discusses <br /> how to compute elliptic curves in some popular computer algebra systems. Basic <br /> exercises appear at the end of each chapter, with selected answers in an <br /> appendix.<br /> <br /> Table Of Contents<br /> <br /> 1 Introduction 1<br /> 2 The Basic Theory 9<br /> 3 Torsion Points 77<br /> 4 Elliptic Curves over Finite Fields 95<br /> 5 The Discrete Logarithm Problem 143<br /> 6 Elliptic Curve Cryptography 169<br /> 7 Other Applications 189<br /> 8 Elliptic Curves over Q 199<br /> 9 Elliptic Curves over C 257<br /> 10 Complex Multiplication 311<br /> 11 Divisors 339<br /> 12 Isogenies 381<br /> 13 Hyperelliptic Curves 407<br /> 14 Zeta Functions 429<br /> 15 Fermat&rsquo;s Last Theorem 445<br /> A Number Theory 471<br /> B Groups 477<br /> C Fields 481<br /> D Computer Packages 489<br /> References 501<br /> Index<br /> <br /> Product Details<br /> <br /> * ISBN: 1420071467<br /> * ISBN-13: 9781420071467<br /> * Format: Textbook Hardcover, 513pp<br /> * Publisher: CRC Press<br /> * Pub. Date: April 2008<br /> * Edition Description: REV<br /> * Edition Number: 2<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader
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