Techniques of Problem SolvingThe purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to … translate verbal discussions into analytical data.learn problem-solving methods for attacking collections of analytical questions or data.build a personal arsenal of internalized problem-solving techniques and solutions.become “armed problem solvers”, ready to do battle with a variety of puzzles in different areas of life.Taking a direct and practical approach to the subject matter, Krantz's book stands apart from others like it in that it incorporates exercises throughout the text. After many solved problems are given, a “Challenge Problem” is presented. Additional problems are included for readers to tackle at the end of each chapter. There are more than 350 problems in all. This book won the CHOICE Outstanding Academic Book Award for 1997. A Solutions Manual to most end-of-chapter exercises is available. |
Contents
Figure 105 | 120 |
Figure 106 | 121 |
a | 128 |
Chapter 3 | 129 |
Figure 112 | 136 |
Figure 116 | 150 |
Figure 119 | 156 |
Chapter 4 | 177 |
Figure 24 | 46 |
Chapter 2 | 49 |
Figure 48 | 66 |
Figure 66 | 84 |
Figure 67 | 85 |
Figure 77 | 92 |
Figure 78 | 93 |
Figure 84 | 98 |
Figure 92 | 105 |
Figure 95 | 107 |
Figure 103 | 118 |
Figure 104 | 119 |
Figure 124 | 193 |
Figure 131 | 215 |
Chapter 5 | 235 |
Figure 133 | 236 |
Figure 144 | 245 |
Figure 148 | 260 |
Chapter 6 | 263 |
Chapter 7 | 295 |
Chapter 8 | 315 |
Figure 186 | 358 |
Bibliography | 361 |
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Common terms and phrases
a₁ analysis angle answer assume average balance ball begin boys calculate cards CHALLENGE PROBLEM chips circle color complete graph configuration continuous function convex set count cube denote diagonal digits disc divide divisible envelope equal equation Euler's formula Exercise faces Fibonacci sequence follows formula four G₁ geometry graph hand side Hint induction inequality intersection last problem Latin squares lattice points least length letters magic square marbles Mathematical Induction mathematics method move Note Notice number of edges odd number odd pearl pair pigeonhole principle plane Platonic solids polyhedron positive integer probability problem solving Pythagorean theorem quart container radius rectangle regions result segment slip Solution strategy subsets Suppose torus total number Tower of Hanoi triangle vertex vertices weigh winning zero