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A Second Course in Mathematical Analysis
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Details

  • 3 b/w illus.
  • Page extent: 536 pages
  • Size: 228 x 152 mm
  • Weight: 0.86 kg

Library of Congress

  • Dewey number: 515
  • Dewey version: 22
  • LC Classification: QA300 .B87 2002
  • LC Subject headings:
    • Mathematical analysis

Library of Congress Record

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Paperback

 (ISBN-13: 9780521523431 | ISBN-10: 0521523435)

  • Published December 2002

Manufactured on demand: supplied direct from the printer

$108.00 (P)

The classic analysis textbook from Burkill and Burkill is now available in the Cambridge Mathematical Library. This straightforward course, based on the idea of a limit, is for students of mathematics and physics who have acquired a working knowledge of calculus and are ready for a more systematic approach. 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.

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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