Mathematical Analysis: A Modern Approach to Advanced Calculus
A Modern Approach to Advanced Calculus
2nd Edition
Published on 8. January 1974
Book
Paperback/Softback
512 pages
978-0-201-00288-1 (ISBN)
Description
It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.
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Other editions
Previous edition
Book
12/1975
Addison Wesley
€35.89
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Content
1. The Real and Complex Number Systems.
2. Some Basic Notions of Set Theory.
3. Elements of Point Set Topology.
4. Limits and Continuity.
5. Derivatives.
6. Functions of Bounded Variation and Rectifiable Curves.
7. The Riemann-Stieltjes Integral.
8. Infinite Series and Infinite Products.
9. Sequences of Functions.
10. The Lebesgue Integral.
11. Fourier Series and Fourier Integrals.
12. Multivariable Differential Calculus.
13. Implicit Functions and Extremum Problems.
14. Multiple Riemann Integrals.
15. Multiple Lebesgue Integrals.
16. Cauchy's Theorem and the Residue Calculus.