by Joseph H. Silverman (Author), John Tate (Author)
The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The book's accessibility, the informal writing style, and a wealth of exercises make it an ideal introduction for those interested in learning about Diophantine equations and arithmetic geometry.
Format: Illustrated
Pages: 291
Edition: 1st ed. 1992. Corr. 2nd printing 1994
Publisher: Springer
Published: 24 Jun 1992
ISBN 10: 0387978259
ISBN 13: 9780387978253
From the reviews:
The authors' goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admirably... --MATHEMATICAL REVIEWS
This is a very leisurely introduction to the theory of elliptic curves, concentrating on an algebraic and number-theoretic viewpoint. It is pitched at an undergraduate level and simplifies the work by proving the main theorems with additional hypotheses or by only proving special cases. ... The examples really pull together the material and make it clear. ... a great book for a first introduction to the subject of elliptic curves. ... very clearly written and you will understand a lot when you are done. (Allen Stenger, The Mathematical Association of America, August, 2008)
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