Mathematics and Plausible Reasoning, Volume 1: Induction and Analogy in Mathematics / Edition 1

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Overview

Here the author of How to Solve It explains how to become a "good guesser." Marked by G. Polya's simple, energetic prose and use of clever examples from a wide range of human activities, this two-volume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive disciplines.

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Editorial Reviews

Scientific American
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
Journal of the Franklin Institute
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
The Mathematical Gazette
Professor Polya's beautifully written hook has become a classic. . . .
— A. 0. L. Atkin
The Mathematics Teacher
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
Scientific American - Morris Kline
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. . . .
The Mathematical Gazette - A.0.L. Atkin
Polya's beautifully written hook has become a classic. . . .
Journal of the Franklin Institute - Carl Hammer
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.
The Mathematics Teacher - Bruce E. Meserve
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.'
The Mathematical Gazette - -A. 0. L. Atkin
Professor Polya's beautifully written hook has become a classic. . . .
From the Publisher

"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

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Product Details

  • ISBN-13: 9780691025094
  • Publisher: Princeton University Press
  • Publication date: 8/3/1990
  • Edition description: Reprint
  • Edition number: 1
  • Pages: 296
  • Sales rank: 1,349,438
  • Product dimensions: 6.14 (w) x 9.19 (h) x 0.72 (d)

Meet the Author


G. Polya (1887-1985) was Professor of Mathematics at Stanford University.
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