Mathematical analysis : a modern approach to advanced calculus / by Tom M. Apostol.
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Reading, Mass. :
Addison-Wesley Pub. Co.,
1957.
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| Series: | Addison-Wesley mathematics series.
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| Subjects: |
Table of Contents:
- The real and complex number systems
- Some basic notions of set theory
- Elements of point set theory
- The limit concept and continuity
- Differentiation of functions of one real variable
- Differentiation of functions of several variables
- Applications of partial differentiation
- Functions of bounded variation, rectifiable curves and connected sets
- Theory of Riemann-Stieltjes integration
- Multiple integrals and line integrals
- vector analysis
- Infinite series and infinite products
- Sequences of functions
- Improper Riemann-Stieltjes integrals
- Fourier series and Fourier integrals
- Cauchy's theorem and the residue calculus.