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Elliptic tales : curves, counting, and number theory / Avner Ash, Robert Gross.

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Format:
Book
Author/Creator:
Ash, Avner, 1949-
Contributor:
Gross, Robert, 1959-
Language:
English
Subjects (All):
Elliptic functions.
Curves, Elliptic.
Number theory.
Physical Description:
1 online resource (276 p.)
Edition:
Course Book
Place of Publication:
Princeton : Princeton University Press, 2012.
Language Note:
English
Summary:
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.
Contents:
pt. 1. Degree
pt. 2. Elliptic curves and algebra
pt. 3. Elliptic curves and analysis.
Notes:
Description based upon print version of record.
Includes bibliographical references and index.
ISBN:
9786613439758
9781283439756
1283439751
9781400841714
1400841712
OCLC:
773567194

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