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Silverman Joseph H Tate John 2015 Rational Points On Elliptic Curves by Joseph H Silverman; John Torrence Tate is a nonfiction available to read on EtoBox.

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The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced 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. Most concretely, an elliptic curve is the set of zeroes of a cubic polynomial in two variables. If the polynomial has rational coefficients, then one can ask for a description of those zeroes whose coordinates are either integers or rational numbers. It is this number theoretic question that is the main subject of Rational Points on Elliptic Curves. Topics covered include the geometry and group structure of elliptic curves, the Nagell–Lutz theorem describing points of finite order, the Mordell–Weil theorem on the finite generation of t

Who reads Silverman Joseph H Tate John 2015 Rational Points On Elliptic Curves?

Author

Joseph H Silverman; John Torrence Tate

Publisher

Springer International Publishing : Imprint: Springer

Published

2016

Language

EN

ISBN

9783319307572

Category

nonfiction

Subjects

Mathematics, Computer Science, Science