An imaginative introduction to number theory and abstract algebra, this unique approach employs a pair of fictional characters, Ant and Gnam. They put a variety of 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. 1995 edition.
Unabridged republication of the edition published by Janson Publications, Dedham, Massachusetts, 1995.
Excursions in Number Theory by C. Stanley Ogilvy, John T. Anderson Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. ". . . splendidly written, well selected and presented collection . . ." — Martin Gardner.
Recreations in the Theory of Numbers by Albert H. Beiler Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.
An Adventurer’s Guide to Number Theory by Richard Friedberg This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.