An imaginative introduction to number theory, this unique approach employs a pair of fictional characters, Ant and Gnam.Ant leads Gnam through a variety of theories, and together,they put the theories into action--applying linear diophantine equations to football scoring, using a black-magic device to simplify problems in modular structures, and developing intriguing modifications to the rules of chess. Appropriate for anyone familiar with algebra at the high-school level, The Theory of Remainders offers a captivating introduction to both number theory and abst algebra. Both elementary and challenging, it provides a view of mathematics as a conceptual net and illustrates the differences between conceptual and paraconceptual claims--an excellent start to expanding students' perspectives on mathematics. |
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