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HINTS TO THE READER

© 2021 Princeton University Press, Princeton

© 2021 Princeton University Press, Princeton

Chapters in this book

Frontmatter i
PREFACE v
HINTS TO THE READER xi
CONTENTS xiii
Volume I. Induction and Analogy in Mathematics
CHAPTER I. INDUCTION 1
CHAPTER II. GENERALIZATION, SPECIALIZATION, ANALOGY 12
CHAPTER III. INDUCTION IN SOLID GEOMETRY 35
CHAPTER IV. INDUCTION IN THE THEORY OF NUMBERS 59
CHAPTER V. MISCELLANEOUS EXAMPLES OF INDUCTION 76
CHAPTER VI. A MORE GENERAL STATEMENT 90
CHAPTER VII. MATHEMATICAL INDUCTION 108
CHAPTER VIII. MAXIMA AND MINIMA 121
CHAPTER IX. PHYSICAL MATHEMATICS 142
CHAPTER X. THE ISOPERIMETRIC PROBLEM 168
CHAPTER XI. FURTHER KINDS OF PLAUSIBLE REASONS 190
FINAL REMARK 210
SOLUTIONS TO PROBLEMS 213
BIBLIOGRAPHY 279

Mathematics and Plausible Reasoning, Volume 1

This chapter is in the book Mathematics and Plausible Reasoning, Volume 1

https://doi.org/10.1515/9780691218304-002

Chapters in this book

Frontmatter i
PREFACE v
HINTS TO THE READER xi
CONTENTS xiii
Volume I. Induction and Analogy in Mathematics
CHAPTER I. INDUCTION 1
CHAPTER II. GENERALIZATION, SPECIALIZATION, ANALOGY 12
CHAPTER III. INDUCTION IN SOLID GEOMETRY 35
CHAPTER IV. INDUCTION IN THE THEORY OF NUMBERS 59
CHAPTER V. MISCELLANEOUS EXAMPLES OF INDUCTION 76
CHAPTER VI. A MORE GENERAL STATEMENT 90
CHAPTER VII. MATHEMATICAL INDUCTION 108
CHAPTER VIII. MAXIMA AND MINIMA 121
CHAPTER IX. PHYSICAL MATHEMATICS 142
CHAPTER X. THE ISOPERIMETRIC PROBLEM 168
CHAPTER XI. FURTHER KINDS OF PLAUSIBLE REASONS 190
FINAL REMARK 210
SOLUTIONS TO PROBLEMS 213
BIBLIOGRAPHY 279

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