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

Mathematics and Plausible Reasoning, Volume 1 : : Induction and Analogy in Mathematics / / G. Polya.

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...

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Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
VerfasserIn:
Polya, G.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2021]
©1954
Year of Publication:2021
Language:English
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Physical Description:1 online resource (296 p.)
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Mathematics and Plausible Reasoning, Volume 1 : Induction and Analogy in Mathematics / G. Polya.
Princeton, NJ : Princeton University Press, [2021]
©1954
1 online resource (296 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Frontmatter -- PREFACE -- HINTS TO THE READER -- CONTENTS -- Volume I. Induction and Analogy in Mathematics -- CHAPTER I. INDUCTION -- CHAPTER II. GENERALIZATION, SPECIALIZATION, ANALOGY -- CHAPTER III. INDUCTION IN SOLID GEOMETRY -- CHAPTER IV. INDUCTION IN THE THEORY OF NUMBERS -- CHAPTER V. MISCELLANEOUS EXAMPLES OF INDUCTION -- CHAPTER VI. A MORE GENERAL STATEMENT -- CHAPTER VII. MATHEMATICAL INDUCTION -- CHAPTER VIII. MAXIMA AND MINIMA -- CHAPTER IX. PHYSICAL MATHEMATICS -- CHAPTER X. THE ISOPERIMETRIC PROBLEM -- CHAPTER XI. FURTHER KINDS OF PLAUSIBLE REASONS -- FINAL REMARK -- SOLUTIONS TO PROBLEMS -- BIBLIOGRAPHY
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)
Logic, Symbolic and mathematical.
Mathematics Philosophy.
MATHEMATICS / History & Philosophy. bisacsh
Billiards.
Euler's theorem.
Geophysical exploration.
Kepler's attitude.
Latent reasons.
Mathematische Zeitschrift.
Opera Omnia.
Reinterpretation.
analogous.
auxiliary problem.
conjecture.
curve.
demonstrative reasoning.
favorable sign.
integral calculus.
isoperimetric theorem.
more credible.
not convex.
plane geometry.
plausible reasoning.
problems.
regular polygon.
right double pyramid.
scientific atmosphere.
solid geometry.
tentative.
various consequences.
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
https://doi.org/10.1515/9780691218304?locatt=mode:legacy
https://www.degruyter.com/isbn/9780691218304
Cover https://www.degruyter.com/cover/covers/9780691218304.jpg
language English
format eBook
author Polya, G.,
Polya, G.,
spellingShingle Polya, G.,
Polya, G.,
Mathematics and Plausible Reasoning, Volume 1 : Induction and Analogy in Mathematics /
Frontmatter --
PREFACE --
HINTS TO THE READER --
CONTENTS --
Volume I. Induction and Analogy in Mathematics --
CHAPTER I. INDUCTION --
CHAPTER II. GENERALIZATION, SPECIALIZATION, ANALOGY --
CHAPTER III. INDUCTION IN SOLID GEOMETRY --
CHAPTER IV. INDUCTION IN THE THEORY OF NUMBERS --
CHAPTER V. MISCELLANEOUS EXAMPLES OF INDUCTION --
CHAPTER VI. A MORE GENERAL STATEMENT --
CHAPTER VII. MATHEMATICAL INDUCTION --
CHAPTER VIII. MAXIMA AND MINIMA --
CHAPTER IX. PHYSICAL MATHEMATICS --
CHAPTER X. THE ISOPERIMETRIC PROBLEM --
CHAPTER XI. FURTHER KINDS OF PLAUSIBLE REASONS --
FINAL REMARK --
SOLUTIONS TO PROBLEMS --
BIBLIOGRAPHY
author_facet Polya, G.,
Polya, G.,
author_variant g p gp
g p gp
author_role VerfasserIn
VerfasserIn
author_sort Polya, G.,
title Mathematics and Plausible Reasoning, Volume 1 : Induction and Analogy in Mathematics /
title_sub Induction and Analogy in Mathematics /
title_full Mathematics and Plausible Reasoning, Volume 1 : Induction and Analogy in Mathematics / G. Polya.
title_fullStr Mathematics and Plausible Reasoning, Volume 1 : Induction and Analogy in Mathematics / G. Polya.
title_full_unstemmed Mathematics and Plausible Reasoning, Volume 1 : Induction and Analogy in Mathematics / G. Polya.
title_auth Mathematics and Plausible Reasoning, Volume 1 : Induction and Analogy in Mathematics /
title_alt Frontmatter --
PREFACE --
HINTS TO THE READER --
CONTENTS --
Volume I. Induction and Analogy in Mathematics --
CHAPTER I. INDUCTION --
CHAPTER II. GENERALIZATION, SPECIALIZATION, ANALOGY --
CHAPTER III. INDUCTION IN SOLID GEOMETRY --
CHAPTER IV. INDUCTION IN THE THEORY OF NUMBERS --
CHAPTER V. MISCELLANEOUS EXAMPLES OF INDUCTION --
CHAPTER VI. A MORE GENERAL STATEMENT --
CHAPTER VII. MATHEMATICAL INDUCTION --
CHAPTER VIII. MAXIMA AND MINIMA --
CHAPTER IX. PHYSICAL MATHEMATICS --
CHAPTER X. THE ISOPERIMETRIC PROBLEM --
CHAPTER XI. FURTHER KINDS OF PLAUSIBLE REASONS --
FINAL REMARK --
SOLUTIONS TO PROBLEMS --
BIBLIOGRAPHY
title_new Mathematics and Plausible Reasoning, Volume 1 :
title_sort mathematics and plausible reasoning, volume 1 : induction and analogy in mathematics /
publisher Princeton University Press,
publishDate 2021
physical 1 online resource (296 p.)
contents Frontmatter --
PREFACE --
HINTS TO THE READER --
CONTENTS --
Volume I. Induction and Analogy in Mathematics --
CHAPTER I. INDUCTION --
CHAPTER II. GENERALIZATION, SPECIALIZATION, ANALOGY --
CHAPTER III. INDUCTION IN SOLID GEOMETRY --
CHAPTER IV. INDUCTION IN THE THEORY OF NUMBERS --
CHAPTER V. MISCELLANEOUS EXAMPLES OF INDUCTION --
CHAPTER VI. A MORE GENERAL STATEMENT --
CHAPTER VII. MATHEMATICAL INDUCTION --
CHAPTER VIII. MAXIMA AND MINIMA --
CHAPTER IX. PHYSICAL MATHEMATICS --
CHAPTER X. THE ISOPERIMETRIC PROBLEM --
CHAPTER XI. FURTHER KINDS OF PLAUSIBLE REASONS --
FINAL REMARK --
SOLUTIONS TO PROBLEMS --
BIBLIOGRAPHY
isbn 9780691218304
9783110442496
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA9
callnumber-sort QA 19
url https://doi.org/10.1515/9780691218304?locatt=mode:legacy
https://www.degruyter.com/isbn/9780691218304
https://www.degruyter.com/cover/covers/9780691218304.jpg
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 510 - Mathematics
dewey-full 510.1
dewey-sort 3510.1
dewey-raw 510.1
dewey-search 510.1
doi_str_mv 10.1515/9780691218304?locatt=mode:legacy
work_keys_str_mv AT polyag mathematicsandplausiblereasoningvolume1inductionandanalogyinmathematics
status_str n
ids_txt_mv (DE-B1597)567581
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
is_hierarchy_title Mathematics and Plausible Reasoning, Volume 1 : Induction and Analogy in Mathematics /
container_title Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
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