ENGLISH

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

Book information

Publisher
Princeton University Press
Year
2020
ISBN
9780691218304
DOI
10.1515/9780691218304
Language
english
Format
PDF
Filesize
14 MB (15002824 bytes)
Pages
296\298
Library
degruyter.com
Time added
2023-08-26 16:24:28

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.

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