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1, ISBN: 9780387094939

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, and elliptic curves over finite fields, the complex numbers, local fields, and global fields. Included are proofs of the Mordell Weil theorem giving finite generation of the group of rational points and Siegel s theorem on finiteness of integral points.For this second edition of The Arithmetic of Elliptic Curves, there is a new chapter entitled Algorithmic Aspects of Elliptic Curves, with an emphasis on algorithms over finite fields which have cryptographic applications. These include Lenstra s factorization algorithm, Schoof s point counting algorithm, Miller s algorithm to compute the Tate and Weil pairings, and a description of aspects of elliptic curve cryptography. There is also a new section on Szpiro s conjecture and ABC, as well as expanded and updated accounts of recent developments and numerous new exercises. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 241x155x38 mm, 514, [GW: 928g], offene Rechnung (Vorkasse vorbehalten), PayPal, Kreditkarte, Banküberweisung, Interntationaler Versand

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2009, ISBN: 0387094938

ID: 21694577951

[EAN: 9780387094939], Neubuch, [PU: Springer-Verlag Gmbh Jun 2009], ARITHMETIK; KURVE (MATHEMATISCH), Mathematics|Algebra|General, Mathematics|Mathematical Analysis, Neuware - The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics. 514 pp. Englisch

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ISBN: 0387094938

ID: 19786930038

[EAN: 9780387094939], Neubuch, Mathematics|Algebra|General, Mathematics|Mathematical Analysis, Bookseller Inventory # ST0387094938, [PU: Springer]

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2009, ISBN: 9780387094939

ID: 13984505792

Hardcover, 9780387094939., Very Good with no dust jacket, Page edges have marks; Large 8vo 9"-10" tall; 513 pages., New York, [PU: Springer]

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Title: | ## The Arithmetic of Elliptic Curves |

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** Details of the book - The Arithmetic of Elliptic Curves**

EAN (ISBN-13): 9780387094939

ISBN (ISBN-10): 0387094938

Hardcover

Paperback

Publishing year: 2009

Publisher: Springer-Verlag GmbH

514 Pages

Weight: 0,888 kg

Language: eng/Englisch

Book in our database since 15.11.2007 06:48:59

Book found last time on 15.07.2017 18:38:26

ISBN/EAN: 0387094938

ISBN - alternate spelling:

0-387-09493-8, 978-0-387-09493-9

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