A First Course in Mathematical Analysis

This course is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment.

J. C. Burkill (Author)

9780521294683, Cambridge University Press

Paperback, published 14 December 1978

196 pages
21.6 x 14 x 1.1 cm, 0.26 kg

' … it is a pleasure to be able to welcome a book on analysis written by an author who has a sense of style and who avoids the excessive use of symbolism which can make the subject unnecessarily difficult for the student.' Proceedings of the Edinburgh Mathematical Society

This straightforward course based on the idea of a limit is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series. Particular attention is given to clarity of exposition and the logical development of the subject matter. A large number of examples is included, with hints for the solution of many of them.

Preface
1. Numbers
2. Sequences
3. Continuous functions
4. The differential calculus
5. Infinite series
6. The special functions of analysis
7. The integral calculus
8. Functions of several variables
Notes on the exercises
Index.

Subject Areas: Calculus & mathematical analysis [PBK]