CONTENTS

Chapters in this book

1. Frontmatter I
2. PREFACE V
3. CONTENTS IX
4. Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE 1
5. Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS 20
6. Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS 40
7. Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS 53
8. Chapter V. SERIES OF FRACTIONAL POWERS 61
9. Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES 69
10. Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER 78
11. Chapter VIII. FURTHER IMPLICIT PROBLEMS 87
12. REFERENCES 99