Rational points on elliptic curves by John Tate, Joseph H. Silverman

Rational points on elliptic curves



Download Rational points on elliptic curves




Rational points on elliptic curves John Tate, Joseph H. Silverman
Language: English
Page: 296
Format: djvu
ISBN: 3540978259, 9783540978251
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K

The emphasis of this text is on the number-theoretic aspects of elliptic curves. Using an informal style, the authors attempt to present a mathematically difficult field in a readable manner. The first part is devoted to proving the fundamental theorems of the field (or at least special cases of these): The Nagell-Lutz theorem, Mordell's theorem, and Hasse's theorem. The remainder of the book discusses special topics and newer developments. A discussion of Lara's algorithm for factoring large numbers shows an application of elliptic curves to the "real world", in this case, the problem of public-key cryptographic systems. A proof of Siegel's theorem, which asserts that an elliptic curve has only a finite number of integer points, serves to introduce the powerful notions of Diophantine approximation techniques. A final chapter introduces the theory of complex multiplication and discusses how points of finite order on elliptic curves can be used to generate extension fields with Abelian Galois groups. The book can readily be used for a one-semester course; parts of it can also serve as the basis for a supplementary topic at the end of a traditional course in either aalgebraic geometry or number theory. Many exercises are included, ranging from easy calculations to the published theorems.

MORE EBOOKS:
Veterinary Herbal Medicine pdf free download
The Brief Wondrous Life of Oscar Wao ebook free download
Download Programming in Prolog pdf







Tags: Rational points on elliptic curves ebook pdf epub djvu mobi rar
Rational points on elliptic curves pdf epub djvu free download
Download Rational points on elliptic curves free ebook pdf epub
Rational points on elliptic curves read online free book
Rational points on elliptic curves cheap ebook for kindle and nook
John Tate, Joseph H. Silverman ebooks and audio books
Rational points on elliptic curves download pdf epub rar rapidshare mediafire fileserve 4shared torrent depositfiles scribd