MATHEMATICS AND PLAUSIBLE REASONING VOL 1 - INDUCTION AND ANALOGY IN MATHEMATICS
GEORGE POLYA
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Editora Princeton
Área MATEMÁTICA
Idioma Inglês
Número de páginas 280
Edição 1954 - 1ª ED 1990
ISBN 0691025096
EAN 9780691025094
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.