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Mathematics and Plausible Reasoning, Volume 1 - Induction and Analogy in Mathematics (Paperback)
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Mathematics and Plausible Reasoning, Volume 1 - Induction and Analogy in Mathematics (Paperback)
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A guide to the practical art of plausible reasoning, this book has
relevance in every field of intellectual activity. Professor Polya,
a world-famous mathematician from Stanford University, uses
mathematics to show how hunches and guesses play an important part
in even the most rigorously deductive science. He explains how
solutions to problems can be guessed at; good guessing is often
more important than rigorous deduction in finding correct
solutions. Vol. I, on Induction and Analogy in Mathematics, covers
a wide variety of mathematical problems, revealing the trains of
thought that lead to solutions, pointing out false bypaths,
discussing techniques of searching for proofs. Problems and
examples challenge curiosity, judgment, and power of invention.
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