Sponsored
Rational Points on Elliptic Curves - (Undergraduate Texts in Mathematics) by Joseph H Silverman & John Tate (Paperback)
About this item
Highlights
- The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory.
- Author(s): Joseph H Silverman & John Tate
- 281 Pages
- Mathematics, Geometry
- Series Name: Undergraduate Texts in Mathematics
Description
Book Synopsis
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. "Rational Points on Elliptic Curves" stresses this interplay as it develops the basic theory, thereby providing an opportunity for advance undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate curriculum. This accessibility, the informal writing style, and a wealth of exercises make "Rational Points on Elliptic Curves" an ideal introduction for students at all levels who are interested in learning about Diophantine equations and arithmetic geometry.
Review Quotes
From the reviews:
"The authors' goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admirably..."--MATHEMATICAL REVIEWS
"This is a very leisurely introduction to the theory of elliptic curves, concentrating on an algebraic and number-theoretic viewpoint. It is pitched at an undergraduate level and simplifies the work by proving the main theorems with additional hypotheses or by only proving special cases. ... The examples really pull together the material and make it clear. ... a great book for a first introduction to the subject of elliptic curves. ... very clearly written and you will understand a lot when you are done." (Allen Stenger, The Mathematical Association of America, August, 2008)