Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics) | 
 enlarge | Author: Neal I. Koblitz
Publisher: Springer
Category: Book
List Price: $69.95
Buy New: $42.80
You Save: $27.15 (39%)
New (16) Used (8) from $41.49
Rating:  4 reviews
Sales Rank: 93138
Media: Hardcover
Edition: 2nd
Pages: 268
Number Of Items: 1
Shipping Weight (lbs): 1
Dimensions (in): 9.2 x 6.4 x 0.8
ISBN: 0387979662
Dewey Decimal Number: 516.352
EAN: 9780387979663
Publication Date: April 29, 1993
Availability: Usually ships in 1-2 business days
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Product Description
The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. The second edition of this text includes an updated bibliography indicating the latest, dramatic changes in the direction of proving the Birch and Swinnerton conjecture. It also discusses the current state of knowledge of elliptic curves.
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| Customer Reviews:
Clearly the best November 5, 2001
P. J. Gies (Dryden, ME United States)
11 out of 12 found this review helpful
This is not an easy book---it's certainly intended for graduate students---but it's also clearly the best introduction to the mathematics that give rise to the Taniyama-Shimura conjecture and the ideas that underlie the Wiles proof of Fermat's Last Theorem, and as such it deserves a prominent place in the world's intellectual life. And you have to love a math text that has a beautiful frontispiece (a sketch by Fomenko whose mathematical meaning I am still trying to work out).
Brilliant Exposition September 26, 2007
Les F. Kartchner (Baltimore, MD)
3 out of 3 found this review helpful
Koblitz is in his element with this text. Much like Daniel Marcus's Number Fields, Koblitz develops a ground work to begin the study of elliptic curves. Here he builds upon the ancient problem of congruent numbers to help develop motivation for an in depth study of elliptic curves and modular forms. Not for the faint of (mathematical) heart, but a truly brilliant piece added to the number theoretic literature. A must own for those interested in advanced ideas behind elliptic curves.
Well written text on modular forms and elliptic curves October 31, 2002
6 out of 9 found this review helpful
I carefully worked through most of Koblitz's book. It is well written and worth the time to study if you are interested in modular forms and elliptic curves.
Organized and Wonderful July 28, 2002
Alan Wong (Markham, Ontario, Canada)
0 out of 2 found this review helpful
The book provides an excellent and readable introduction to elliptic curves, using the complex analysis approach. It gives detailed proof to many theorems, and the exercises for each chapter are wonderful. It is a good supplement for those who use another book by Koblitz: Algebraic Aspects of Cryptography (AAC). It is funny that Koblitz has copied and pasted some of the paragraphs from Introduction to Elliptic Curves and Modular Forms to AAC!
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