Elementary Differential and Integral Calculus

Elementary Differential and Integral Calculus

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G. Lewingdon Parsons
Cambridge University Press, 7/28/2016
EAN 9781316612699, ISBN10: 1316612694

Paperback, 378 pages, 17.8 x 12.7 x 2.3 cm
Language: English

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.

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