Mathematics and Plausible Reasoning, Volume 1
Induction and Analogy in Mathematics
Published on 21. January 1954
Book
Hardback
296 pages
978-0-691-08640-8 (ISBN)
Description
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.
Reviews / Votes
"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 TeacherMore details
Language
English
Place of publication
New Jersey
United States
Target group
College/higher education
Professional and scholarly
Product notice
Trade binding
ISBN-13
978-0-691-08640-8 (9780691086408)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
02/2021
1st Edition
Princeton University Press
€45.99
Available for download
Person
G. Polya (1887-1985) was Professor of Mathematics at Stanford University.