Cambridge Mathematical Library: A Second Course in Mathematical Analysis

Cambridge Mathematical Library: A Second Course in Mathematical Analysis

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The classic analysis textbook from Burkill and Burkill, now available in the Cambridge Mathematical Library. This straightforward course, based on the idea of a limit, is intended for students of mathematics and physics who have acquired a working knowledge of the calculus and are ready for a more systematic treatment. The treatment given here 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. This, combined with the large number of examples included, ensure that this book will appeal to students of analysis.
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Product details

  • Paperback | 536 pages
  • 147 x 226 x 30mm | 860g
  • Cambridge, United Kingdom
  • English
  • 3 Line drawings, unspecified
  • 0521523435
  • 9780521523431
  • 1,239,065

Table of contents

1. Sets and functions; 2. Metric spaces; 3. Continuous functions on metric spaces; 4. Limits in the spaces R and Z; 5. Uniform convergence; 6. Integration; 7. Functions from Rm to Rn; 8. Integrals in Rn; 9. Fourier series; 10. Complex function theory; 11. Complex integrals, Caucy's theorem; 12. Expansions, singularities, residues; 13. General theorems, analytic functions; 14. Applications to special functions.
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Review quote

'Books of this quality are rare enough to be hailed enthusiastically... it is so fresh in conception and so lucid in style that it will appeal to anyone who has a genuine interest in mathematics.' The Times Literary Supplement 'It is a pleasure to be able to welcome a book on analysis written by an author who has a sense of style.' Proceedings of the Edinburgh Mathematical Society 'This is an excellent book ... If I were teaching a course for honours students of the type described, this book would rank high as a possible choice of text.' Canadian Mathematical Bulletin
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