The Arithmetic of Elliptic Curves Hard cover - 2009
by Joseph H. Silverman
- New
- Hardcover
Description
Standard delivery: 7 to 12 days
Details
- Title The Arithmetic of Elliptic Curves
- Author Joseph H. Silverman
- Binding Hard Cover
- Edition U. S. EDITION
- Condition New
- Pages 513
- Volumes 1
- Language ENG
- Publisher Springer, China
- Date 2009-05-29
- Features Bibliography, Index, Table of Contents
- Bookseller's Inventory # ria9780387094939_pod
- ISBN 9780387094939 / 0387094938
- Weight 1.9 lbs (0.86 kg)
- Dimensions 9.3 x 6.4 x 1.2 in (23.62 x 16.26 x 3.05 cm)
- Library of Congress subjects Arithmetic, Curves, Elliptic
- Library of Congress Catalog Number 2009926474
- Dewey Decimal Code 516.352
About Ria Christie Collections Greater London, United Kingdom
Hello We are professional online booksellers. We sell mostly new books and textbooks and we do our best to provide a competitive price. We are based in Greater London, UK. We pride ourselves by providing a good customer service throughout, shipping the items quickly and replying to customer queries promptly. Ria Christie Collections
30 day return guarantee, with full refund including original shipping costs for up to 30 days after delivery if an item arrives misdescribed or damaged.
From the publisher
From the rear cover
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.
