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The Arithmetic of Elliptic Curves - Joseph H. Silverman
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Joseph H. Silverman:

The Arithmetic of Elliptic Curves - nouveau livre

ISBN: 9780387094939

ID: 9cca7a735239db5536c08ba0acb348f9

The theory of elliptic curves is distinguished by the diversity of the methods 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 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-387-09493-9, Springer

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The Arithmetic of Elliptic Curves - Joseph H. Silverman
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Joseph H. Silverman:

The Arithmetic of Elliptic Curves - nouveau livre

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 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., [SC: 0.00], Neuware, gewerbliches Angebot, 241x155x38 mm, [GW: 928g]

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The Arithmetic of Elliptic Curves - Joseph H. Silverman
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Joseph H. Silverman:
The Arithmetic of Elliptic Curves - nouveau livre

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., [SC: 0.00], Neuware, gewerbliches Angebot, 241x155x38 mm, [GW: 928g]

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The arithmetic of elliptic curves
Livre non disponible
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The arithmetic of elliptic curves - nouveau livre

ISBN: 9780387094939

ID: D8d95c684c8de073b37d1b69296ed172f

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. NL true, [PU: Springer]

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Arithmetic of Elliptic Curves - Joseph H. Silverman
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Joseph H. Silverman:
Arithmetic of Elliptic Curves - edition reliée, livre de poche

2009, ISBN: 9780387094939

ID: 10168576

[ED: 2], 2nd ed. 2009, Hardcover, Buch, [PU: Springer-Verlag New York Inc.]

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Détails sur le livre
The Arithmetic of Elliptic Curves
Auteur:

Silverman, Joseph H.

Titre:

The Arithmetic of Elliptic Curves

ISBN:

9780387094939

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.

Informations détaillées sur le livre - The Arithmetic of Elliptic Curves


EAN (ISBN-13): 9780387094939
ISBN (ISBN-10): 0387094938
Version reliée
Livre de poche
Date de parution: 2009
Editeur: Springer-Verlag GmbH
514 Pages
Poids: 0,888 kg
Langue: eng/Englisch

Livre dans la base de données depuis 15.11.2007 06:48:59
Livre trouvé récemment le 15.11.2016 01:54:26
ISBN/EAN: 9780387094939

ISBN - Autres types d'écriture:
0-387-09493-8, 978-0-387-09493-9

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