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Item Details
| Title:
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THE ARITHMETIC OF ELLIPTIC CURVES
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| Volume: |
v. 106 |
| By: |
J. H. Silverman |
| Format: |
Hardback |
| List price:
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£41.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0387962034 |
| ISBN 13: |
9780387962030 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
1 December, 1985 |
| Series: |
Graduate Texts in Mathematics 106 |
| Pages: |
412 |
| Description: |
Treats the arithmetic theory of elliptic curves in its modern formulation through the use of basic algebraic number theory and algebraic geometry. This book outlines necessary algebro-geometric results and offers an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, and elliptic curves over finite fields. |
| Synopsis: |
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. |
| Illustrations: |
13 black & white illustrations |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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