TECHNIQUES OF PROBLEM SOLVING

Winner of the CHOICE Outstanding Academic Book Award for 1997!

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 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.

Readership

Advanced high school and undergraduate mathematics students with a modest level of mathematical and/or analytical sophistication; teachers of these students. General mathematical audience.

TABLE OF CONTENTS

Chapter 1 Basic Concepts

Chapter 2 A Deeper Look at Geometry

Chapter 3 Problems Involving Counting

Chapter 4 Problems of Logic

Chapter 5 Recreational Math

Chapter 6 Algebra and Analysis

Chapter 7 A Miscellany

Chapter 8 Real Life