«Problem-Solving Strategies» kitob

Preface …………………………………………………… v
Abbreviations and Notations ………………………………….. ix
1 The Invariance Principle…………………………………… 1
2 Coloring Proofs …………………………………………. 25
3 The Extremal Principle ……………………………………. 39
4 The Box Principle ……………………………………….. 59
5 Enumerative Combinatorics ……………………………….. 85
6 Number Theory …………………………………………. 117
7 Inequalities …………………………………………….. 161
8 The Induction Principle …………………………………… 205
9 Sequences ……………………………………………… 221
10 Polynomials ……………………………………………. 245
11 Functional Equations …………………………………….. 271
viii Contents
12 Geometry ………………………………………………. 289
13 Games…………………………………………………. 361
14 Further Strategies………………………………………… 373
References ………………………………………………… 397
Index …………………………………………………….. 401