An Analytical Calculus: Volume 2
For School and University

The books are written for students of science and engineering as well as for specialist mathematicians.

E. A. Maxwell (Author)

9780521090360, Cambridge University Press

Paperback / softback, published 20 November 2008

284 pages
21.6 x 14 x 1.6 cm, 0.36 kg

This is the second of a series of four volumes covering all stages of development of the Calculus, from the last years at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies. with their emphasis on rigour. This treatment of algebraic and trigonometric functions is here developed to cover logarithmic, exponential and hyperbolic functions and the expansion of all these functions as power series. There is a chapter on curves and the idea of complex numbers is introduced for the first time. In the two final chapters, the author begins a systematic treatment of methods of integrating functions, introducing principles into what often seems rather a haphazard process. This volume, like the others, is well endowed with examples.

Preface
7. The logarithmic and exponential functions
8. Taylor's series and allied results
9. The hyperbolic functions
10. Curves
11. Complex numbers
12. Systematic integration
13. Integrals involving 'infinity'
Appendix
Answers to examples
Index.

Subject Areas: Calculus & mathematical analysis [PBK]