Induction and Analogy in Mathematics - Rilegato

Polya, George

Rilegato

ISBN 10: 0691080054 ISBN 13: 9780691080055

Casa editrice: Princeton Univ Pr, 1954

Riassunto

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, onInduction 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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Recensione

"Polya . . . does a masterful job of showing just how plausible reasoning is used in mathematics. . . . The material in both volumes is fresh and highly original; the presentation is stimulating, informal, and occasionally humorous; examples from science, legal reasoning, and daily life make the arguments clear even to a nonspecialist. Polya's book is a rare event."--Morris Kline, Scientific American

"Professor Polya's beautifully written hook has become a classic."---A. 0. L. Atkin, The Mathematical Gazette

"Professor Polya . . . is interested in problem solving and the psychological aspects of mathematical discovery. . . . [These books] should provide many entertaining hours for anyone who cares to pick up the challenge."--Carl Hammer, Journal of the Franklin Institute

"Professor Polya presents a forceful argument for the teaching of intelligent guessing as well as proving. . . . There are also very readable and enjoyable discussions of such concepts as the isoperimetric problem and 'chance, the ever-present rival of conjecture.' "--Bruce E. Meserve, The Mathematics Teacher

L'autore

George Polya was a Hungarian mathematician. Born in Budapest on 13 December 1887, his original name was Pólya Györg. He wrote “How to Solve It”, perhaps the most famous book of mathematics ever written, second only to Euclid's “Elements”. George Polya continued to work on mathematics, even past age 90. He died in Palo Alto, California on September 7, 1985, at age 97.

Dettagli dell'edizione

• Editore: Princeton Univ Pr
• Data di pubblicazione: 1954
• Lingua: Inglese
• ISBN 10: 0691080054
• ISBN 13: 9780691080055
• Rilegatura: Copertina rigida
• Numero di pagine: 296
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile