The Art and Craft of Problem Solving

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THE ART AND CRAFT OF PROBLEM SOLVING Second Edition Paul Zeitz University of San Francisco � B.e:ENTENNIAL II i 1 807 � z z � z ...

ACQUISITIONS EDITOR PROJECT EDITOR EDITORIAL ASSIST ANT SENIOR PRODUCTION EDITOR MARKETING MANAGER COVER DESIGNER COVER PHOTO An ...

To My Family ...

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The explorer is the person who is lost. -Tim Cahill, Jaguars Ripped My Flesh When detectives speak of the moment that a crime be ...

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Preface to the Second Edition This new edition of The Art and Craft of Problem Solving is an expanded, and, I hope, improved ver ...

x And last but not least, I'd like to continue my contrition from the first edition, and ask my wife and two children to forgive ...

xi ideas that most mathematicians take for granted. This culture is prevalent in parts of Eastern Europe and exists in small poc ...

xii the book is a bit light on geometry. Luckily, a number of great geometry books have already been written. At the elementary ...

xiii Tristan Needham has been my mentor, colleague, and friend since I came to USF in 1992. I could never have finished this b ...

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Contents ...

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Chapter Chapter Chapter What This Book Is About and How to Read It 1 .1 "Exercises" vs. "Problems" 1.2 The Three Levels of Prob ...

Chapter 1 What This Book Is About and How to Read It 1 .1 "Exercises" vs. "Problems" This is a book about mathematical problem s ...

2 CHAPTER 1 WHAT THIS BOOK IS ABOUT AND HOW TO READ IT 1 1 1 3 1. 2 + 2. 3 + 3. 4 = 4 ' 1 1 1 1 4 1 · 2 + 2 · 3 + 3· + (^4) · 5 ...

2 THE THREE LEVELS OF PROBLEM SOLVING 3 You may make some initial progress, but then cannot proceed further. You try a few th ...