Mathematical Analysis: A Modern Approach to Advanced Calculus by Tom Apostol
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Mathematical Analysis
Summary
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.
Mathematical Analysis Summary
Table of Contents
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.
Additional information
NGR9780201002881
9780201002881
0201002884
Mathematical Analysis: A Modern Approach to Advanced Calculus by Tom Apostol
New
Paperback
Pearson Education (US)
1974-01-01
512
N/A
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