The Arithmetic of Elliptic Curves (Paperback, Softcover reprint of hardcover 2nd ed. 2009)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 106
Release date:	November 2010
First published:	2009
Authors:	Joseph H. Silverman
Dimensions:	235 x 155 x 35mm (L x W x T)
Format:	Paperback
Pages:	513
Edition:	Softcover reprint of hardcover 2nd ed. 2009
ISBN-13:	978-1-4419-1858-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	1-4419-1858-2
Barcode:	9781441918581

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