Description: Arithmetic of Elliptic Curves, Hardcover by Silverman, Joseph H., ISBN 0387094938, ISBN-13 9780387094939, Like New Used, Free shipping in the US 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, th 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.
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Book Title: Arithmetic of Elliptic Curves
Number of Pages: Xx, 513 Pages
Language: English
Publication Name: Arithmetic of Elliptic Curves
Publisher: Springer New York
Subject: Algebra / General, Number Theory, Geometry / Algebraic, Arithmetic
Publication Year: 2009
Type: Textbook
Item Weight: 34 Oz
Subject Area: Mathematics
Author: Grigory Mikhalkin, Joseph H. Silverman
Item Length: 9.3 in
Series: Graduate Texts in Mathematics Ser.
Item Width: 6.1 in
Format: Hardcover
