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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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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Polya, G., author. aut http://id.loc.gov/vocabulary/relators/aut 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 |
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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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1770176322166849536 |
fullrecord |
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