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An Introduction to Cryptography: Discrete Mathematics and Its Applications

Autor Richard A. Mollin
en Limba Engleză Hardback – 18 sep 2006
Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field.

With numerous additions and restructured material, this edition presents the ideas behind cryptography and the applications of the subject. The first chapter provides a thorough treatment of the mathematics necessary to understand cryptography, including number theory and complexity, while the second chapter discusses cryptographic fundamentals, such as ciphers, linear feedback shift registers, modes of operation, and attacks. The next several chapters discuss DES, AES, public-key cryptography, primality testing, and various factoring methods, from classical to elliptical curves. The final chapters are comprised of issues pertaining to the Internet, such as pretty good privacy (PGP), protocol layers, firewalls, and cookies, as well as applications, including login and network security, viruses, smart cards, and biometrics. The book concludes with appendices on mathematical data, computer arithmetic, the Rijndael S-Box, knapsack ciphers, the Silver-Pohlig-Hellman algorithm, the SHA-1 algorithm, radix-64 encoding, and quantum cryptography.

New to the Second Edition:
  • An introductory chapter that provides more information on mathematical facts and complexity theory
  • Expanded and updated exercises sets, including some routine exercises
  • More information on primality testing and cryptanalysis

    Accessible and logically organized, An Introduction to Cryptography, Second Edition is the essential book on the fundamentals of cryptography.
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    Specificații

    ISBN-13: 9781584886181
    ISBN-10: 1584886188
    Pagini: 413
    Ilustrații: 41 b/w images
    Dimensiuni: 156 x 234 x 28 mm
    Greutate: 0.75 kg
    Ediția:2Revizuită
    Editura: CRC Press
    Colecția Chapman and Hall/CRC
    Seria Discrete Mathematics and Its Applications


    Public țintă

    Undergraduate

    Cuprins

    Mathematical Basics. Cryptographic Basics. DES and AES. Public-Key Cryptosystems. Primality Testing. Factoring. Electronic Mail and Internet Security. Leading-Edge Applications. Appendices.

    Recenzii

    "Mollin has written a very nice book. He presents a vast overview of cryptography, its history, and modern uses, which makes for interesting reading."
    – In Siam Review, 2008, Vol. 50, No. 2
    Praise for the First Edition:
    "…Mollin has written a readable text on a subject that can be challenging. It deserves your attention."
    - The Cryptogram

    "This is a great book! It can be used in many ways: for a university course at one extreme, and as selective light reading for pleasure at the other. The author's enthusiasm carries the reader along clearly and easily, spilling over to scores of fascinating, beautifully written footnotes, which include more than fifty mini-biographies. … excellent and highly recommended."
    -Short Book Reviews, Vol. 21, No. 2, August 2001

    "I want to congratulate you on An Introduction to Cryptography. This is a fine addition to the field. Upon my recommendation, my personal firm has purchased several copies, it's so great. … Your explanation in the section of 'Coin Flipping via Exponentiation' was brilliantly orchestrated."
    -Owen Henry Cupp, Southern Sovereign Institute, Georgia, USA

    "In this very nice book, the author introduces at an undergraduate level the following topics: Origins, computer arithmetic, and complexity … . This book pays a lot of attention to the history of this research field, which makes the reading very enjoyable…"
    -Zentralblatt fur Mathematik

    Descriere

    Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition features all of the requisite background material on number theory and algorithmic complexity, includes a historical look at the field, and offers updated and expanded exercise sets. In addition to updates throughout the text, this edition includes two new chapters on current and future applications that cover topics such as electronic mail, Internet security, protocol layers and SSL, firewalls, client-server model and cookies, network security, wireless security, smart cards, and biometrics. The book also provides additional information on cryptanalysis and primality testing as well as appendices on DES and primitive roots.