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How to Solve Mathematical Problemsby Wayne A Wickelgren
Synopses & ReviewsPublisher Comments:If you've ever tried to solve mathematical problems without any idea how to go about it, this book is for you. It will improve your ability to solve all kinds of mathematical problems whether in mathematics, science, engineering, business, or purely recreational mathematical problems (puzzles, games, etc.). In the pages of this book you'll discover seven indispensable problemsolving techniques: inference, classification of action sequences, state evaluation and hill climbing, subgoals, contradiction, working backward and relations between problems. Based on modern advances in the fields of artificial intelligence and computer simulation of thought, the techniques are taught here by an effective problemsolving methodology. Dr. Wickelgren, formerly a Professor of Psychology at MIT and the University of Oregon, first defines a problemsolving method, then illustrates its application to simple recreational mathematics problems that require no more background than a year of high school algebra and a year of plane geometry. By devoting the majority of the book to such "puzzle" problems, which require less background and information than more advanced mathematics and science problems, the author reaches the widest possible audience. In the final chapter, however, Dr. Wickelgren deals with specific problems from mathematics, science, and engineering. Throughout the book, sample problems illustrate each method and the author has supplied hints and complete solutions. Carefully and clearly written, this indispensable guide will help students in every discipline avoid countless hours of frustration and wasted effort. It is an ideal book for early undergraduate courses in mathematics, physical science, engineering, computer science, economics and other fields that require problem solving. Preface. Introduction. References.Index. 73 line illustrations. Synopsis:Seven problemsolving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions. Synopsis:Seven problemsolving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions. Carefully and clearly written, this indispensable guide will help students in every discipline avoid countless hours of frustration and wasted effort. Synopsis:7 invaluable problemsolving techniques: inference, classification of action sequences, subgoals, contradiction, working backward, two more. Problems, solutions. Description:Includes bibliographical references (p. [257]) and index.
Table of ContentsPreface
1 Introduction 2 Problem Theory 3 Inference 4 Classification of Action Sequences 5 State Evaluation and Hill Climbing 6 Subgoals 7 Contradiction 8 Working Backward 9 Relations Between Problems 10 Topics in Mathematical Representation 11 "Problems from Mathematics, Science and Engineering" References Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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