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Identification Numbers and Check Digit Schemes

Identification Numbers and Check Digit Schemes

$49.99 (G)

Part of Classroom Resource Materials

  • Date Published: March 2001
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • format: Paperback
  • isbn: 9780883857205

$ 49.99 (G)
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
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About the Authors
  • This book develops the mathematical skills necessary for the investigation of the increasingly pervasive codes used to identify everything from credit cards to books to supermarket goods. An important part of such codes is the check digit, which can point out when an error has been made, either accidentally in transmission, or deliberately in an attempt at fraud. Mathematics plays a crucial role in designing and verifying such check digit schemes. Beginning undergraduates and pre-university students should find this book both accessible and fun. In the process of describing the identification number schemes, the author introduces many fundamental areas of discrete mathematics, including modular arithmetic and group theory, with emphasis on their applications. A unique point of the book is the way it offers students the possibility of writing papers summarizing a given topic to improve their understanding. It also contains pointers into the literature for further reading.

    • Applies mathematics to everyday life
    • Pedagogical introduction to important branch of mathematics
    • Encourages students to write papers to crystallize their understanding
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    Product details

    • Date Published: March 2001
    • format: Paperback
    • isbn: 9780883857205
    • length: 160 pages
    • dimensions: 255 x 179 x 14 mm
    • weight: 0.339kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • Table of Contents

    Introduction
    1. Identification numbers and check digit schemes
    2. Number theory, cryptography, and check digit schemes
    3. Functions, permutations, and their applications
    4. Symmetry and rigid motions
    5. Group theory and applications.

  • Author

    Joseph Kirtland, Marist College, New York

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