Posted by **advisors** at Feb. 11, 2015

1999 | 224 Pages | ISBN: 0521653746 | PDF | 9 MB

Posted by **bookwyrm** at May 3, 2014

1999 | 224 Pages | ISBN: 0521653746 | PDF | 9 MB

Posted by **tanas.olesya** at Nov. 12, 2016

English | 5 July 2013 | ISBN: 1420079468 | 333 Pages | PDF | 12 MB

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature.

Posted by **DZ123** at April 23, 2016

English | 2013 | ISBN: 1420079468 | PDF | pages: 333 | 12,8 mb

Posted by **arundhati** at June 22, 2014

2013 | ISBN-10: 1420079468 | 340 pages | PDF | 2 MB

Posted by **ChrisRedfield** at Jan. 4, 2015

Published: 2008-04-03 | ISBN: 1420071467 | PDF | 536 pages | 4 MB

Posted by **ChrisRedfield** at July 5, 2014

Published: 2009-06-23 | ISBN: 0387094938, 1441918582 | PDF | 514 pages | 4 MB

Posted by **interes** at Feb. 26, 2014

English | 2009 | ISBN: 0387094938 | 514 pages | PDF | 3,5 MB

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry.

Posted by **elodar** at Jan. 10, 2014

English | 2008-04-03 | ISBN: 1420071467 | 524 pages | PDF | 4.6 mb

Posted by **Alexpal** at Jan. 7, 2007

Publisher: Springer; 2 edition (December 22, 2003) | ISBN-10: 0387954902 | PDF | 6,7 Mb | 487 pages

This book is an introduction to the theory of elliptic curves, ranging from its most elementary aspects to current research. The first part, which grew out of Tate's Haverford lectures, covers the elementary arithmetic theory of elliptic curves over the rationals. The next two chapters recast the arguments used in the proof of the Mordell theorem into the context of Galois cohomology and descent theory. This is followed by three chapters on the analytic theory of elliptic curves, including such topics as elliptic functions, theta functions, and modular functions. Next, the theory of endomorphisms and elliptic curves over infinite and local fields are discussed. The book then continues by providing a survey of results in the arithmetic theory, especially those related to the conjecture of the Birch and Swinnerton-Dyer.