A History of Geometrical Methods

Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problems?some computational and some classical, many original, and some with complete solutions. The opening chapters offer sound explanations of the basics of elementary number theory and develop the fundamental properties of integers and congruences. Subsequent chapters present proofs of Fermat?s and Wilson?s theorems, introduce number theoretic functions, and explore the quadratic reciprocity theorem. Three independent sections follow, with examinations of the representation of numbers, diophantine equations, and primes. The text concludes with 260 additional problems, three helpful appendixes, and answers to selected exercises and problems. Additional ISBNs 9780486469317, 9780716700760, 048646931X, 071670076XA History of Geometrical Methods By: Julian Lowell Coolidge Publisher: Dover Publications Print ISBN: 9780486495248, 0486495248 other ISBNs: 9780486158532, 0486158535 Pages: 480 SKU: 9780486158532 ?