The Arithmetic of Elliptic Curves
(Book #106 in the Graduate Texts in Mathematics Series)
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Book Overview
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, elliptic curves over finite fields, the complex numbers, local fields, and global fields. The last two chapters deal with integral and rational points, including Siegel's theorem and explicit computations for the curve Y 2 = X 3 + DX.
Format:Hardcover
Language:English
ISBN:0387094938
ISBN13:9780387094939
Release Date:May 2009
Publisher:Springer
Length:513 Pages
Weight:1.95 lbs.
Dimensions:1.2" x 6.4" x 9.3"
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