An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.
Excellent introductory book! Very clear and engaging, gives the reader a nice blend of pure mathematics and insights into cryptographic research. Includes a couple of sections on basic group and ring theory, as well as sections on probability theory, which makes the book very accessible for students at different levels.
I got half way through the first edition, then the second edition came out. I don't think one is ever really 'finished' a book like this, as every time I pick it up, with a view toward figuring something out, I invariably gain new insight. An excellent illustration of 'the more I learn, the less I know'.
Truly phenomenal work. Ideas are laid out in a clear and coherent fashion. Elegant and engaging. While one can theoretically use this to attain a fairly robust understanding of modern cryptography from virtually nothing, I would encourage the prospective reader to first gain a reasonable working knowledge of number theory and abstract algebra before approaching this book.
Some chapters are interspersed with historical and philosophical context which is both refreshing and thought provoking. I found the first two chapters to be useful because of how foundational they are, and chapter five on elliptic curves (especially those over F2k) to be particularly compelling.
This work is particularly interesting when considered in the context of recent developments in cryptography and the changing nature of the economic and social environment we live in today.
I have spent hours in recent years pouring over this fascinating book and will no doubt spend many more in time to come.
All in all, a great read for the amateur, student and engineer alike.