Higher Calculus

by Frank Bowman, F. A. Gerard

Overview

This book is intended for students who have completed an elementary course of calculus and are taking the subject further, more particularly, perhaps, on account of its applications in physics and engineering. It covers the ground of a calculus course at first-year level in universities and colleges of technology for students majoring in mathematics. It thus fills a gap between the numerous introductory texts and those on advanced analysis in which this material is embedded in a great deal of other matter. The emphasis is on essentials. Principles are treated rigourously while avoiding unnecessary difficulties for the student for whom mathematics is an ancillary subject. An original feature is the prominence given to the asymptotic property of the Taylor formula. The large number of examples has been carefully chosen to bring out the main points rather than to test manipulative ability; answers are given.

Product Details

ISBN-13:	9780521093354
Publisher:	Cambridge University Press
Publication date:	01/11/2009
Pages:	436
Product dimensions:	6.00(w) x 8.90(h) x 1.20(d)

Table of Contents

Preface; 1. Functions; 2. Differentiation; 3. Successive differentiation; 4. Taylor's theorem; 5. Partial derivatives; 6. Implicit functions; 7. Successive partial differentiation; 8. Maxima and minima; 9. Integration; 10. Infinite integrals; 11. Indefinite integrals; 12. Double integrals; Examples; Answers to Examples; Index.