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Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics) 2nd Edition

5.0 out of 5 stars 6 customer reviews
ISBN-13: 978-0387979663
ISBN-10: 0387979662
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Frequently Bought Together

  • Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics)
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  • A First Course in Modular Forms (Graduate Texts in Mathematics, Vol. 228)
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  • The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
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Product Details

  • Series: Graduate Texts in Mathematics (Book 97)
  • Hardcover: 252 pages
  • Publisher: Springer; 2nd edition (April 29, 1993)
  • Language: English
  • ISBN-10: 0387979662
  • ISBN-13: 978-0387979663
  • Product Dimensions: 6.1 x 0.6 x 9.2 inches
  • Shipping Weight: 15.2 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #830,610 in Books (See Top 100 in Books)

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By P. J. Gies on November 5, 2001
Format: Hardcover
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).
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Format: Hardcover
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.
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Format: Hardcover
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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