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: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©1954 |
| Year of Publication: | 2021 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (296 p.) |
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| 001 | 9780691218304 | ||
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| 072 | 7 | |a MAT015000 |2 bisacsh | |
| 082 | 0 | 4 | |a 510.1 |2 22 |
| 100 | 1 | |a Polya, G., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mathematics and Plausible Reasoning, Volume 1 : |b Induction and Analogy in Mathematics / |c G. Polya. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2021] | |
| 264 | 4 | |c ©1954 | |
| 300 | |a 1 online resource (296 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t PREFACE -- |t HINTS TO THE READER -- |t CONTENTS -- |t Volume I. Induction and Analogy in Mathematics -- |t CHAPTER I. INDUCTION -- |t CHAPTER II. GENERALIZATION, SPECIALIZATION, ANALOGY -- |t CHAPTER III. INDUCTION IN SOLID GEOMETRY -- |t CHAPTER IV. INDUCTION IN THE THEORY OF NUMBERS -- |t CHAPTER V. MISCELLANEOUS EXAMPLES OF INDUCTION -- |t CHAPTER VI. A MORE GENERAL STATEMENT -- |t CHAPTER VII. MATHEMATICAL INDUCTION -- |t CHAPTER VIII. MAXIMA AND MINIMA -- |t CHAPTER IX. PHYSICAL MATHEMATICS -- |t CHAPTER X. THE ISOPERIMETRIC PROBLEM -- |t CHAPTER XI. FURTHER KINDS OF PLAUSIBLE REASONS -- |t FINAL REMARK -- |t SOLUTIONS TO PROBLEMS -- |t BIBLIOGRAPHY |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Logic, Symbolic and mathematical. | |
| 650 | 0 | |a Mathematics |x Philosophy. | |
| 650 | 7 | |a MATHEMATICS / History & Philosophy. |2 bisacsh | |
| 653 | |a Billiards. | ||
| 653 | |a Euler's theorem. | ||
| 653 | |a Geophysical exploration. | ||
| 653 | |a Kepler's attitude. | ||
| 653 | |a Latent reasons. | ||
| 653 | |a Mathematische Zeitschrift. | ||
| 653 | |a Opera Omnia. | ||
| 653 | |a Reinterpretation. | ||
| 653 | |a analogous. | ||
| 653 | |a auxiliary problem. | ||
| 653 | |a conjecture. | ||
| 653 | |a curve. | ||
| 653 | |a demonstrative reasoning. | ||
| 653 | |a favorable sign. | ||
| 653 | |a integral calculus. | ||
| 653 | |a isoperimetric theorem. | ||
| 653 | |a more credible. | ||
| 653 | |a not convex. | ||
| 653 | |a plane geometry. | ||
| 653 | |a plausible reasoning. | ||
| 653 | |a problems. | ||
| 653 | |a regular polygon. | ||
| 653 | |a right double pyramid. | ||
| 653 | |a scientific atmosphere. | ||
| 653 | |a solid geometry. | ||
| 653 | |a tentative. | ||
| 653 | |a various consequences. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691218304?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691218304 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9780691218304.jpg |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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