Originally published in 1936, this book was written with the intention of preparing candidates for the Higher Certificate Examinations. The text was created to bridge the gap between introductions to differential and integral calculus and advanced textbooks on the subject. This volume will be of value to anyone with an interest in differential and integral calculus, mathematics and the history of education.
Preface; Historical sketch; 1. Preliminary ideas; 2. The process of differentiation; 3. General rules and standard forms; 4. Maxima and minima; 5. Application to geometry of curves; 6. The expansion of a function as an infinite series; 7. Miscellaneous applications to algebra, trigonometry and mechanics; 8. Curvature of plane curves; 9. Envelopes and associated loci; 10. Simple curve tracing; 11. Rectilinear asymptotes; 12. Partial differentiation; Miscellaneous examples; Appendix. Newton's approximation; Answers to examples; Index.