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 |
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| 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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Table of 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