Chapters in this book

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