G. Lewingdon ParsonsCambridge University Press, 7/28/2016EAN 9781316612699, ISBN10: 1316612694Paperback, 378 pages, 17.8 x 12.7 x 2.3 cmLanguage: EnglishOriginally 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.PrefaceHistorical sketch1. Preliminary ideas2. The process of differentiation3. General rules and standard forms4. Maxima and minima5. Application to geometry of curves6. The expansion of a function as an infinite series7. Miscellaneous applications to algebra, trigonometry and mechanics8. Curvature of plane curves9. Envelopes and associated loci10. Simple curve tracing11. Rectilinear asymptotes12. Partial differentiationMiscellaneous examplesAppendix. Newton's approximationAnswers to examplesIndex.
