The Arithmetic of Elliptic Curves
Softcover reprint of hardcover 2nd ed. 2009
Book Details
Format
Paperback / Softback
Book Series
Graduate Texts in Mathematics
ISBN-10
1441918582
ISBN-13
9781441918581
Edition
Softcover reprint of hardcover 2nd ed. 2009
Publisher
Springer-Verlag New York Inc.
Imprint
Springer-Verlag New York Inc.
Country of Manufacture
US
Country of Publication
GB
Publication Date
Nov 19th, 2010
Print length
513 Pages
Weight
800 grams
Dimensions
15.70 x 23.40 x 3.50 cms
Product Classification:
AlgebraNumber theoryAlgebraic geometry
Ksh 8,100.00
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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 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.
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