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IDENTIFICATION NUMBERS AND CHECK DIGIT SCHEMES

IDENTIFICATION NUMBERS AND CHECK DIGIT SCHEMES

IDENTIFICATION NUMBERS AND CHECK DIGIT SCHEMES

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Beckenbach Book Prize Winner

Identification Numbers and Check Digit Schemes by Joseph Kirtland

An ideal text for a liberal arts mathematics course. Identification numbers, used to encode information pertaining to products, documents, accounts, or individuals, are recorded onto documents, typed or scanned into computers, sent via the Internet, or transmitted in some other fashion millions of times a day. Given the heavy reliance on these numbers to transmit information and the possibility that a transmission error may occur, many add an extra digit or check digit that is used to determine if the identification number has been transmitted incorrectly. The mathematical process, called a check digit scheme, is used by the receiver of the number, independent of the sender, to recognize when a transmission error has occurred. This book presents the mathematics behind a variety of check digit schemes used today. It may come as a surprise, but check digit schemes vary in their ability to catch errors. Consequently, developing criteria to judge the reliability of a scheme is a central theme of this book. The book is organized to allow students to move from simple mathematical concepts and check digit schemes to more complex ideas. It also provides writing and group activities, which can be integrated into a student-centered approach.

  • Brand name: MAA
  • Author: Joseph Kirtland
  • ISBN:9780883857205
  • 184 pp.
  • Paperback
  • 2000
  • Series: Classroom Resource Materials
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