A UNIQUE, HEURISTIC APPROACH TO MATHEMATICAL DISCOVERY AND PROBLEM SOLVING THIS COMBINED EDITION OF MATHEMATICAL DISCOVERY: ON UNDERSTANDING, LEARNING AND TEACHING PROBLEM SOLVING IS UNIQUE AMONG MATHEMATICS TEXTS. ESPOUSING A HEURISTIC APPROACH TO MATHEMATICAL PROBLEM SOLVING, THE TEXT MAY BE FOLLOWED SEQUENTIALLY OR ACCORDING TO INSTRUCTORS' INDIVIDUALIZED CURRICULA. BEGINNING WITH A DISCUSSION OF PATTERNS AND PRACTICAL APPROACHES TO PROBLEM SOLVING, THE BOOK THEN PRESENTS EXAMPLES FROM VARIOUS BRANCHES OF MATH AND SCIENCE TO HELP STUDENTS DISCOVER HOW TO SOLVE PROBLEMS ON THEIR OWN AN INVALUABLE SKILL FOR THE CLASSROOM AND BEYOND.
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Combining standard Volumes I and II into one soft cover edition, this helpful book explains how to solve mathematical problems in a clear, step-by-step progression. It shows how to think about a problem, how to look at special cases, and how to devise an effective strategy to attack and solve the problem. Covers arithemetic, algebra, geometry, and some elementary combinatorics. Includes an updated bibliography and newly expanded index.
George P lya was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Z rich and from 1940 to 1953 at Stanford University. He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory.
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