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Elliptic Tales
A01=Avner Ash
A01=Robert Gross
Abelian group
Addition
Additive group
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Algebraic closure
Algebraic curve
Algebraic equation
Algebraic geometry
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Analytic function
Author_Avner Ash
Author_Robert Gross
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Birch and Swinnerton-Dyer conjecture
Calculation
Category1=Non-Fiction
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Coefficient
Complex multiplication
Complex number
Complex plane
Computation
Conjecture
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Derivative
Dirichlet series
Elliptic curve
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Euler product
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Finite field
Finitely generated abelian group
Functional equation
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Integer
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Line at infinity
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Mathematician
Mathematics
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Natural number
Number theory
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Prime number
Princeton University Press
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Real number
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Product details
- ISBN 9780691163505
- Weight: 397g
- Dimensions: 156 x 235mm
- Publication Date: 19 Oct 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
- Language: English
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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.
Avner Ash is professor of mathematics at Boston College. Robert Gross is associate professor of mathematics at Boston College. They are the coauthors of Fearless Symmetry: Exposing the Hidden Patterns of Numbers (Princeton).
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