The purpose of this book is to teach the basic principles of problem solving, including both mathematical and non-mathematical 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; and, 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.
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.
Basic concepts (Chapter 1) A deeper look at geometry (Chapter 2) Problems involving counting (Chapter 3) Problems of logic (Chapter 4) Recreational math (Chapter 5) Algebra and analysis (Chapter 6) A miscellany (Chapter 7) Real life (Chapter 8) Bibliography Index.