Elementary Theory of Numbers

Front Cover
Courier Corporation, Jun 1, 1990 - Mathematics - 132 pages
Superb introduction for readers with limited formal mathematical training. Topics include Euclidean algorithm and its consequences, congruences, powers of an integer modulo m, continued fractions, Gaussian integers, Diophantine equations, more. Carefully selected problems included throughout, with answers. Only high school math needed. Bibliography.
 

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Contents

INTRODUCTION
1
THE EUCLIDEAN ALGORITHM AND ITS CONSEQUENCES
22
CONGRUENCES
36
THE POWERS or AN INTEGER MODULO m
62
CONTINUED FRACTIONS
73
THE GAUSSIAN INTEGERS
96
DIOPHANTINE EQUATIONS
108
APPENDIX
123
INDEX
131
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