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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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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]
Booklooker.de |
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]
Booklooker.de |
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]
Studystore.nl |
2009, ISBN: 9780387094939
ID: 10168576
[ED: 2], 2nd ed. 2009, Hardcover, Buch, [PU: Springer-Verlag New York Inc.]
Lehmanns.de
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Title: | The Arithmetic of Elliptic Curves |
ISBN: | 0387094938 |
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 15.11.2016 01:54:26
ISBN/EAN: 0387094938
ISBN - alternate spelling:
0-387-09493-8, 978-0-387-09493-9
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