A Pathway Into Number Theory

Front Cover
Cambridge University Press, 1997 - Mathematics - 262 pages
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Number theory is concerned with the properties of the natural numbers: 1,2,3,.... During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today, the results of extensive numerical work are instantly available and mathematicians may traverse the road leading to their discoveries with comparative ease. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern high school course in mathematics is sufficient background for the whole book which, as a whole, is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.
  

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With problems ordered in a discovery fashion and historical background behind each topic, this book presents a great way to teach number theory. The book contains a fair amount of interesting questions as well; however, it lacks a big and necessary portion of a math textbook: the information and worked examples. Truly a "pathway" into number theory, it would work well as a study guide and exercise book, but not a textbook. 

Contents

III
1
IV
7
V
9
VI
13
VIII
14
X
16
XI
22
XII
27
XLVII
129
XLVIII
130
XLIX
140
L
141
LI
145
LII
147
LIV
148
LV
154

XIII
33
XIV
36
XV
37
XVI
38
XVII
39
XVIII
48
XIX
53
XXI
54
XXII
55
XXIII
56
XXIV
61
XXV
64
XXVI
66
XXVII
67
XXVIII
68
XXIX
70
XXX
79
XXXI
81
XXXII
84
XXXIII
87
XXXIV
88
XXXV
89
XXXVI
97
XXXVII
100
XXXVIII
101
XXXIX
102
XL
108
XLII
110
XLIII
119
XLIV
123
XLV
126
XLVI
127
LVI
158
LVII
162
LVIII
164
LIX
165
LX
168
LXI
169
LXII
170
LXIII
171
LXIV
187
LXV
192
LXVI
197
LXVII
200
LXVIII
201
LXIX
204
LXXI
206
LXXII
214
LXXIII
220
LXXIV
223
LXXV
226
LXXVI
227
LXXVII
229
LXXVIII
230
LXXIX
232
LXXX
242
LXXXI
243
LXXXII
245
LXXXIII
247
LXXXIV
250
LXXXVI
251
LXXXVII
257
LXXXVIII
260
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