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

by George Polya

Overview

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.

Product Details

ISBN-13:	9780691025094
Publisher:	Princeton University Press
Publication date:	08/23/1990
Series:	Princeton Paperback
Edition description:	Reprint
Pages:	298
Product dimensions:	6.00(w) x 9.25(h) x (d)

About the Author

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

Editorial Reviews

"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

From the Publisher

Professor Polya's beautifully written hook has become a classic. . . .

The Mathematical Gazette - A. 0. L. Atkin

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 Mathematics Teacher - Bruce E. Meserve

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.

Journal of the Franklin Institute - Carl Hammer

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. . . .

Scientific American - Morris Kline

Polya's beautifully written hook has become a classic. . . .

The Mathematical Gazette - A.0.L. Atkin

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

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's beautifully written hook has become a classic. . . .
— A. 0. L. Atkin

The Mathematical Gazette

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