Avner Ash, Robert Gross
Elliptic Tales: Curves, Counting, and Number Theory
- ISBN 13:
- 9780691163505
- author:
- Avner Ash, Robert Gross
- format:
- Paperback
- publisher:
- Princeton University Press
- language:
- English
- Publication Year:
- 2014
- Pages:
- 280
- Dimensions:
- 23.9 x 15.4 x 1.7 cm
- Genre:
- Science & Nature, History & Philosophy, History of Mathematics
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
Elliptic Tales explores one of mathematics' most intriguing unsolved problems - the Birch and Swinnerton-Dyer Conjecture. A $1 million prize from the Clay Mathematics Institute drives the investigation, which delves into the properties of elliptic curves.
These cubic equations in two variables may seem simple, yet they are rooted in profound mathematical concepts. Using basic algebra and calculus, authors Avner Ash and Robert Gross present numerous examples that make these ideas accessible to a broad audience. Along the way, they introduce key discoveries from the last three centuries in algebraic geometry, abstract algebra, and number theory.
The book demonstrates how mathematics evolves as it tackles increasingly complex problems, with each new generation of mathematicians building upon the work of those who came before them.
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