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Springer The Arithmetic of Elliptic Curves: 106 (Graduate Texts in Mathematics, 106)

Name: The Arithmetic of Elliptic Curves: 106 (Graduate Texts in Mathematics, 106)
Brand: Springer

Algebra

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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.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1441918582
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 19 November 2010
Listed Since: 10 December 2010

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Springer The Arithmetic of Elliptic Curves: 106 (Graduate Texts in Mathematics, 106)

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