Arithmetic of Elliptic Curves
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Word Count
134,000 words, Guess
Page Count
536 pages
Identifiers
- ISBN-139780387094946
- ISBN-100387094946
- Better World Books9780387094946
- Open LibraryOL37094435M
Classifications
- LCCQA564-609
Description
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. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.
Subjects
Other Editions
- Arithmetic of Elliptic Curves
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