J. W. S. Cassels
LMSST: 24 Lectures on Elliptic Curves, Vol. 24
- ISBN 13:
- 9780521425308
- author:
- J. W. S. Cassels
- format:
- Paperback
- publisher:
- Cambridge University Press
- language:
- English
- Publication Year:
- 1991
- Pages:
- 144
- Genre:
- Mathematics Textbook
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
This comprehensive introduction to elliptic curves covers both historical background and contemporary theory. Addressed to beginning graduate students, it explores special cases of elliptic curves, including those over rational numbers, finite fields, and p-adic numbers.
The book delves into the local-global standpoint, culminating in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. It also discusses the Hasse principle for conics and recently developed uses of elliptic curves for factoring large integers.
With many examples and exercises included, this book provides a valuable introduction to elliptic curves, assuming only an acquaintance with the fundamentals of Galois theory. It is an ideal resource for graduate students and specialists from other fields looking to expand their knowledge in number theory and algebraic geometry.
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