Cryptology: Classical and Modern with Maplets

Richard E. Klima, Neil P. Sigmon

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June 20, 2012 by Chapman and Hall/CRC
Textbook - 548 Pages - 163 B/W Illustrations
ISBN 9781439872413 - CAT# K13332
Series: Discrete Mathematics and Its Applications

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Features

  • Illustrates the importance of cryptology in cultural and historical contexts, including the Enigma machine and Navajo code
  • Describes the implementation and cryptanalysis of classical ciphers, such as substitution, transposition, shift, affine, Vigenère, and Hill
  • Gives straightforward explanations of the AES, public-key ciphers, and message authentication
  • Requires no prior programming knowledge or background in college-level mathematics
  • Integrates the easy-to-use technology of Maplets throughout
  • Offers material for teaching nonmathematical courses
  • Provides exercises in each chapter section, including some that can be used as projects
  • Presents all Maplet-based examples and exercises in separate sections
  • Supplies Maplet exercises and all of the Maplets used in the text online

Solutions manual available with qualifying course adoption

Watch Drs. Klima and Sigmon speak about the book.

Summary

Easily Accessible to Students with Nontechnical Backgrounds
In a clear, nontechnical manner, Cryptology: Classical and Modern with Maplets explains how fundamental mathematical concepts are the bases of cryptographic algorithms. Designed for students with no background in college-level mathematics, the book assumes minimal mathematical prerequisites and incorporates student-friendly Maplets throughout that provide practical examples of the techniques used.

Technology Resource
By using the Maplets, students can complete complicated tasks with relative ease. They can encrypt, decrypt, and cryptanalyze messages without the burden of understanding programming or computer syntax. The authors explain topics in detail first before introducing one or more Maplets. All Maplet material and exercises are given in separate, clearly labeled sections. Instructors can omit the Maplet sections without any loss of continuity and non-Maplet examples and exercises can be completed with, at most, a simple hand-held calculator. The Maplets are available for download at www.radford.edu/~npsigmon/cryptobook.html.

A Gentle, Hands-On Introduction to Cryptology
After introducing elementary methods and techniques, the text fully develops the Enigma cipher machine and Navajo code used during World War II, both of which are rarely found in cryptology textbooks. The authors then demonstrate mathematics in cryptology through monoalphabetic, polyalphabetic, and block ciphers. With a focus on public-key cryptography, the book describes RSA ciphers, the Diffie–Hellman key exchange, and ElGamal ciphers. It also explores current U.S. federal cryptographic standards, such as the AES, and explains how to authenticate messages via digital signatures, hash functions, and certificates.

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