Articles liés à The Arithmetic of Elliptic Curves
Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Dr. Joseph Silverman is a professor at Brown University and has been an instructor or professors since 1982. He was the Chair of the Brown Mathematics department from 2001-2004. He has received numerous fellowships, grants and awards, as well as being a frequently invited lecturer. He is currently a member of the Council of the American Mathematical Society. His research areas of interest are number theory, arithmetic geometry, elliptic curves, dynamical systems and cryptography. He has co-authored over 120 publications and has had over 20 doctoral students under his tutelage. He has published 9 highly successful books with Springer, including the recently released, An Introduction to Mathematical Cryptography, for Undergraduate Texts in Mathematics.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurSpringer-Verlag New York Inc.
- Date d'édition2009
- ISBN 10 0387094938
- ISBN 13 9780387094939
- ReliureRelié
- Langueanglais
- Numéro d'édition2
- Nombre de pages513
- Coordonnées du fabricantnon disponible
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The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 106)
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Springer, 2009
ISBN 10 : 0387094938
ISBN 13 : 9780387094939
Ancien ou d'occasion
Couverture rigide
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The Arithmetic of Elliptic Curves
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Springer New York, 2009
ISBN 10 : 0387094938
ISBN 13 : 9780387094939
Neuf
Couverture rigide
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Second Edition of highly successful introductory textbook, with new content, from acclaimed authorThorough introduction to arithmetic theory of elliptic curvesMany exercises to hone the reader s knowledgeText enlightens proofs throug. N° de réf. du vendeur 5908900
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The Arithmetic of Elliptic Curves
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Springer New York Mai 2009, 2009
ISBN 10 : 0387094938
ISBN 13 : 9780387094939
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - 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. 536 pp. Englisch. N° de réf. du vendeur 9780387094939
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The Arithmetic of Elliptic Curves: 106 (Graduate Texts in Mathematics, 106)
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Springer, 2009
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ISBN 13 : 9780387094939
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The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 106)
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The Arithmetic of Elliptic Curves
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Springer New York, Springer New York Mai 2009, 2009
ISBN 10 : 0387094938
ISBN 13 : 9780387094939
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 536 pp. Englisch. N° de réf. du vendeur 9780387094939
Quantité disponible : 2 disponible(s)
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The Arithmetic of Elliptic Curves
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Springer New York, Springer New York, 2009
ISBN 10 : 0387094938
ISBN 13 : 9780387094939
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 fieldswhich 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. N° de réf. du vendeur 9780387094939
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The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 106)
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Arithmetic of Elliptic Curves
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The Arithmetic of Elliptic Curves
Edité par
Springer-Verlag New York Inc., 2009
ISBN 10 : 0387094938
ISBN 13 : 9780387094939
Neuf
Couverture rigide
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 918. N° de réf. du vendeur C9780387094939
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