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Rational Points on Elliptic Curves (Undergraduate Texts in Mathematics) by Joseph H Silverman; John Torrence Tate is a nonfiction available to read on EtoBox.
What is Rational Points on Elliptic Curves (Undergraduate Texts in Mathematics) about?
Written by leading experts in the field Presents a technically difficult field which is readable by the average undergraduate mathematics major Brings the classic first edition up-to-date with the inclusion of hot topics such as elliptic curve cryptography and the ABC Conjecture Explains the role of Frey curves and Galois representations in Andrew Wiles' breakthrough proof of Fermat's Last Theorem Includes many new exercises 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 polynomia
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- Author
- Joseph H Silverman; John Torrence Tate
- Publisher
- Springer International Publishing : Imprint: Springer
- Published
- 2015
- Language
- EN
- ISBN
- 9783319307572
- Category
- nonfiction
- Subjects
- Mathematics, Management, Computer Science
Other editions & translations
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