Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application
Rezensionen / Stimmen
... 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
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Computer scientists, electrical engineers, number theorists, and cryptographers; students of mathematics, computer science, and electrical engineering.
Editions-Typ
Illustrationen
20 s/w Abbildungen
20 b/w images and 500 equations
Dateigröße
ISBN-13
978-1-4200-7147-4 (9781420071474)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Introduction. The Basic Theory. Torsion Points. Elliptic Curves over Finite Fields. The Discrete Logarithm Problem. Elliptic Curve Cryptography. Other Applications. Elliptic Curves over Q. Elliptic Curves over C. Complex Multiplication. Divisors. Isogenies. Hyperelliptic Curves. Zeta Functions. Fermat's Last Theorem. Appendices. References. Index.
