Easy as p?: An Introduction to Higher Mathematics

Front Cover
Springer Science & Business Media, 1999 - Mathematics - 187 pages
The present book is rare, even unique of its kind, at least among mathematics texts published in Russian. You have before you neither a textbook nor a monograph, although these selected chapters from elementary mathematics certainly constitute a fine educational tool. It is my opinion that this is more than just another book about mathematics and the art of teaching that subject. Without considering the actual topics treated (the author himself has described these in sufficient detail in of the book as a whole, the Introduction), I shall attempt to convey a general idea and describe the impressions it makes on the reader. Almost every chapter begins by considering well-known problems of elementary mathematics. Now, every worthwhile elementary problem has hidden behind its diverting formulation what might be called "higher mathematics," or, more simply, mathematics, and it is this that the author demonstrates to the reader in this book. It is thus to be expected that every chapter should contain subject matter that is far from elementary. The end result of reading the book is that the material treated has become for the reader "three-dimensional" as it were, as in a hologram, capable of being viewed from all sides.
 

Contents

IV
1
V
3
VI
5
VII
6
VIII
8
IX
13
X
16
XI
21
XXXVI
98
XXXVII
100
XXXVIII
103
XXXIX
105
XL
107
XLI
110
XLII
113
XLIII
115

XII
23
XIII
28
XIV
32
XV
35
XVI
37
XVII
39
XVIII
42
XIX
46
XX
50
XXI
54
XXII
57
XXIII
59
XXIV
63
XXV
66
XXVI
70
XXVII
71
XXVIII
74
XXIX
79
XXX
82
XXXI
85
XXXII
88
XXXIII
89
XXXIV
92
XXXV
94
XLIV
118
XLV
121
XLVI
123
XLVII
125
XLVIII
128
XLIX
133
L
134
LI
137
LII
139
LIII
142
LIV
143
LV
146
LVI
149
LVII
155
LVIII
158
LIX
161
LX
163
LXI
166
LXII
168
LXIII
172
LXIV
177
LXV
181
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