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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-universi
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目錄:
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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.
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