000			01845nam a22001937a 4500
999			_c65723 _d65723
008			200612b2008 ||||| |||| 00| 0 eng d
020			_a9781420071467
082			_a516.3 WAS-L
100			_aWashington, Lawrence C.
245			_aElliptic curves : _bnumber theory and cryptography / _cLawrence C. Washington
250			_a2nd ed.
260			_aBoca Raton _bCRC Press _c2008
300			_a513 p.
365			_aGBP _b93.99.
500			_aLike 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.
650			_aNumber theory
650			_aCryptography
650			_aCurves, Elliptic