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Cryptography: An Introduction
Edited by: V. V. Yaschenko, Moscow Center for Continuous Mathematics Education, Russia

Student Mathematical Library
2002; 229 pp; softcover
Volume: 18
ISBN-10: 0-8218-2986-6
ISBN-13: 978-0-8218-2986-8
List Price: US$48
Institutional Members: US$38.40
All Individuals: US$38.40
Order Code: STML/18
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See also:

Algebraic Curves and Cryptography - V Kumar Murty

Learning about cryptography requires examining fundamental issues about information security. Questions abound, ranging from "From whom are we protecting ourselves?" and "How can we measure levels of security?" to "What are our opponent's capabilities?" and "What are their goals?" Answering these questions requires an understanding of basic cryptography. This book, written by Russian cryptographers, explains those basics.

Chapters are independent and can be read in any order. The introduction gives a general description of all the main notions of modern cryptography: a cipher, a key, security, an electronic digital signature, a cryptographic protocol, etc. Other chapters delve more deeply into this material. The final chapter presents problems and selected solutions from "Cryptography Olympiads for (Russian) High School Students".

This is an English translation of a Russian textbook. It is suitable for advanced high school students and undergraduates studying information security. It is also appropriate for a general mathematical audience interested in cryptography.

Also on cryptography and available from the AMS is Codebreakers: Arne Beurling and the Swedish Crypto Program during World War II.


Undergraduates, graduate students, and research mathematicians interested in cryptography; general mathematical audience.


"It is a ... book with a lot of useful information."

-- Cryptologia

"Students and faculty alike will find this book to be an excellent guide/reference to cryptography ... concepts are explained clearly ... The book also contains some interesting examples of cryptography in literature ... Each chapter is self-contained ... This book is a smorgasbord of cryptography and covers all the major concepts. So read what you like to enjoy ... Lando's Lectures on Generating Functions ... is driven by very, very interesting problems and examples ... he can hardly contain his enthusiasm (which is indeed quickly infectious) ... author's particular choice of topics, it's really all an immense amount of fun ... The book is very well suited to self study or use in a seminar for a hand-picked audience ... beautifully written ... a trip well worth taking."

-- MAA Online

Table of Contents

  • Main notions
  • Cryptograpy and complexity theory
  • Cryptographic protocols
  • Algorithmic problems of number theory
  • Mathematics of secret sharing
  • Cryptography olympiads for high school students
  • Bibliography
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