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Elliptic Tales : Curves, Counting, and Number Theory by Avner Ash ; Robert Gross is a mathematics available to read on EtoBox.

What is Elliptic Tales : Curves, Counting, and Number Theory about?

"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. The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. 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 are cubic equations in two variables. These equations may appear simple, yet they 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. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new gene

Who reads Elliptic Tales : Curves, Counting, and Number Theory?

Author

Avner Ash ; Robert Gross

Publisher

Princeton University Press

Published

2012

Language

EN

ISBN

9780691163505

Category

mathematics

Subjects

Mathematics, Philosophy, Stem

Rating

3.95 / 5 (40 ratings)

Updated

2026-03-13