The Arithmetic of Elliptic Curves

Graduate Texts in Mathematics #106

by Joseph H. Silverman

Treats the arithmetic theory of elliptic curves in its modern formulation through the use of basic algebraic number theory and algebraic geometry. This book outlines necessary algebro-geometric results and offers an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, and elliptic curves over finite fields.

Genres: Mathematics, Reference, Theory, Number, Geometry, Algebra

400 pages, Hardcover

First published October 14, 1985

Reviews

[Will]

The character development was excellent, but the plot was a little threadbare.

[Dan]

I used this book for a term paper I was writing.

Joseph Silverman is a good author to learn from. His books are easier to read and more user friendly than Serge Lang's.

[Wissam Raji]

A classic and one of the most famous introductory books to the theory of elliptic curves. The treatment of the topics in elliptic curves is very clear. The book is self-contained and well-written. There is another book that deals with advanced topics. This book can be read by advanced undergraduate students who are interested in the theory of elliptic curves and the geometric aspects of the theory.

[Satyaki]

https://www.youtube.com/playlist?list...

[Didier "Dirac Ghost" Gaulin]

Great little reference book, perfect for a beginner who is studying cryptography, for the mathematicians, not so much, as many proofs are omitted.