Techniques of Problem Solving

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American Mathematical Soc., 1997 - Problem solving - 465 pages
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The 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 solutions and internalized problem-solving techniques; and become "armed problem solvers", ready to 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. A Solutions Manual to most end-of-chapter exercises is available.
 

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Contents

Chapter 1
1
Figure 1
9
Figure 2
10
Figure 3
11
Figure 6
13
admissible
24
Figure 15
26
or
27
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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About the author (1997)

Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published more than 150 research articles and over 50 books. He has worked as an editor of several book series, research journals, and for the Notices of the AMS.

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