A Second Course in Mathematical Analysis

ISBN-13: 9780521523431 / Angielski / Miękka / 2002 / 536 str.

H. Burkill; John C. Burkill; J. C. Burkill

Opis

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.

Recenzje

'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

Spis treści

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.