Mathematical Analysis: A Straightforward Approach

by K. G. Binmore

Overview

For the second edition of this very successful text, Professor Binmore has written two chapters on analysis in vector spaces. The discussion extends to the notion of the derivative of a vector function as a matrix and the use of second derivatives in classifying stationary points. Some necessary concepts from linear algebra are included where appropriate. The first edition contained numerous worked examples and an ample collection of exercises for all of which solutions were provided at the end of the book. The second edition retains this feature but in addition offers a set of problems for which no solutions are given. Teachers may find this a helpful innovation.

Product Details

ISBN-13:	9780521288828
Publisher:	Cambridge University Press
Publication date:	09/02/1982
Edition description:	Revised
Pages:	376
Product dimensions:	5.98(w) x 9.02(h) x 0.83(d)

Table of Contents

Preface to the first edition; Preface to the second edition; 1. Real numbers; 2. Continuum property; 3. Natural numbers; 4. Convergent sequences; 5. Subsequences; 6. Series; 7. Functions; 8. Limits of functions; 9. Continuity; 10. Differentiation; 11. Mean value theorems; 12. Monotone functions; 13. Integration; 14. Exponential and logarithm; 15. Power series; 16. Trigonometric functions; 17. The gamma function; 18. Vectors; 19. Vector derivatives; 20. Appendix; Solutions to exercises; Further problems; Suggested further reading; Notation; Index.