Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

... the book is well structured and does not waste the reader’s time in dividing cryptography from number theory-only information. This enables the reader just to pick the desired information. ... a very comprehensive guide on the theory of elliptic curves. ... I can recommend this book for both cryptographers and mathematicians doing either their Ph.D. or Master’s ... I enjoyed reading and studying this book and will be glad to have it as a future reference.
―IACR book reviews, April 2010

Praise for the First Edition
There are already a number of books about elliptic curves, but this new offering by Washington is definitely among the best of them. It gives a rigorous though relatively elementary development of the theory of elliptic curves, with emphasis on those aspects of the theory most relevant for an understanding of elliptic curve cryptography. ... an excellent companion to the books of Silverman and Blake, Seroussi and Smart. It would be a fine asset to any library or collection.
―Mathematical Reviews, Issue 2004e

Washington ... has found just the right level of abstraction for a first book ... . Notably, he offers the most lucid and concrete account ever of the perpetually mysterious Shafarevich–Tate group. A pleasure to read! Summing Up: Highly recommended.
―CHOICE, March 2004

... a nice, relatively complete, elementary account of elliptic curves.
―Bulletin of the AMS