Elements of Number Theory

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Courier Corporation, Jan 1, 2003 - Mathematics - 227 pages
"A very welcome addition to books on number theory."—Bulletin, American Mathematical Society
Clear and detailed in its exposition, this text can be understood by readers with no background in advanced mathematics; only a small part requires a working knowledge of calculus. One of the most valuable characteristics of this book is its stress on learning number theory by means of demonstrations and problems. More than 200 problems and full solutions appear in the text, plus 100 numerical exercises. Some of these exercises deal with estimation of trigonometric sums and are especially valuable as introductions to more advanced studies. Translation of 1949 Russian edition.
 

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Contents

Common Divisor 2 3 The Least Common Multiple
7
composition 15 Problems for Chapter I 17 Numerical
20
4 The Euler Function 26 Problems for Chapter II 28
40
Chapter IV
59
lus 65 5 Congruences of Arbitrary Degree with Com
77
3 The Jacobi Symbol 87 4 The Case of Composite
103
pa and 2pa 106 3 Evaluation of Primitive Roots for
113
6 Indices Modulo 2a 116 7 Indices for Arbitrary Com
130
Solutions for Chapter I 133 Solutions for Chapter II 139
139
Solutions for Chapter III 161 Solutions for Chapter IV 178
178
Solutions for Chapter V 187 Solutions for Chapter VI 202
202
Answers for Chapter I 217 Answers for Chapter II 217
217
TABLES OF PRIMES 4000 AND THEIR LEAST PRIMITIVE
226
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