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Elliptic Tales: Curves, Counting, and Number Theory
  • Author Image
    Avner Ash
  • Publisher Logo
    Princeton University Press

Elliptic Tales: Curves, Counting, and Number Theory

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Key Metrics

  • Avner Ash
  • Princeton University Press
  • Hardcover
  • 9780691151199
  • 9.43 X 6.42 X 0.92 inches
  • 1.15 pounds
  • Mathematics > Number Theory
  • English
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Book Description

Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.

The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and, in the process, venture to the very frontiers of modern mathematics.

Elliptic Tales: Curves, Counting, and Number Theory

Author Bio

Avner Ash is professor of mathematics at Boston College and he has published several research papers and articles and four books. 

Books 

  • Fearless Symmetry 2nd ed. (with Robert Gross) Princeton University Press (2008)
  • Elliptic Tales (with Robert Gross) Princeton University Press (2012)
  • Summing It Up (with Robert Gross) Princeton University Press (2016)
  • Smooth Compactifications of Locally Symmetric Varietes 2nd ed. (with D. Mumford, M. Rapoport and Y. Tai and with the collaboration of P. Scholze) Cambridge University Press (2010)

 

Source: Boston College 

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