# Elementary Number Theory

Springer Science & Business Media, Jul 31, 1998 - Mathematics - 301 pages
Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back ground or maturity from the reader, and which can be read and understood with no extra assistance. Our first three chapters are based almost entirely on A-level mathematics, while the next five require little else beyond some el ementary group theory. It is only in the last three chapters, where we treat more advanced topics, including recent developments, that we require greater mathematical background; here we use some basic ideas which students would expect to meet in the first year or so of a typical undergraduate course in math ematics. Throughout the book, we have attempted to explain our arguments as fully and as clearly as possible, with plenty of worked examples and with outline solutions for all the exercises. There are several good reasons for choosing number theory as a subject. It has a long and interesting history, ranging from the earliest recorded times to the present day (see Chapter 11, for instance, on Fermat's Last Theorem), and its problems have attracted many of the greatest mathematicians; consequently the study of number theory is an excellent introduction to the development and achievements of mathematics (and, indeed, some of its failures). In particular, the explicit nature of many of its problems, concerning basic properties of inte gers, makes number theory a particularly suitable subject in which to present modern mathematics in elementary terms.

### What people are saying -Write a review

User Review - Flag as inappropriate

Good book; covers most of the interesting topics in number theory. Full of good examples and exercises wish solutions in the back.
One notation had me a little puzzled - the use of a decimal point
for multiplication. But this is easy to get used to since all numbers of concern are integers. 5 stars!

User Review - Flag as inappropriate

Textbook

### Contents

 II 1 III 2 IV 7 V 12 VI 13 VII 16 VIII 19 IX 25
 XLV 148 XLVI 152 XLVII 154 XLVIII 157 XLIX 162 L 163 LI 165 LII 166

 X 30 XI 32 XII 35 XIII 37 XIV 46 XV 52 XVI 57 XVII 59 XVIII 62 XIX 65 XX 72 XXI 78 XXII 82 XXIII 83 XXIV 85 XXV 92 XXVI 96 XXVII 97 XXVIII 99 XXIX 103 XXX 106 XXXI 108 XXXII 110 XXXIII 113 XXXIV 116 XXXV 117 XXXVI 119 XXXVII 120 XXXVIII 123 XXXIX 130 XL 135 XLI 138 XLII 140 XLIII 143 XLIV 146
 LIII 170 LIV 174 LV 176 LVI 179 LVII 182 LVIII 185 LIX 188 LX 191 LXI 196 LXII 201 LXIII 202 LXIV 205 LXV 206 LXVI 214 LXVII 217 LXVIII 218 LXIX 219 LXX 221 LXXI 223 LXXII 226 LXXIII 227 LXXIV 228 LXXV 233 LXXVI 234 LXXVII 237 LXXVIII 239 LXXIX 243 LXXX 247 LXXXI 249 LXXXII 251 LXXXIII 289 LXXXIV 295 LXXXV 297 Copyright