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A First Course in Mathematical Analysis

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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.

Author(s): J. C. Burkill
Publisher: Cambridge University Press
Year: 1978

Language: English
Pages: 196
Tags: Математика;Математический анализ;

Front Cover......Page 1
Back Cover......Page 2
Title Page......Page 4
Copyright......Page 5
Contents......Page 6
Preface......Page 8
1. Numbers......Page 10
2. Sequences......Page 32
3. Continuous Functions......Page 56
4. The Differential Calculus......Page 74
5. Infinite Series......Page 97
6. The Special Functions of Analysis......Page 113
7. The Integral Calculus......Page 128
8. Functions of Several Variables......Page 160
Notes on the Exercises......Page 179
Index......Page 194