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Analysis : An Introduction
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| Format: | Printed Book |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Subjects: | |
| Online Access: | http://www.loc.gov/catdir/description/cam041/2004040687.html http://www.loc.gov/catdir/toc/cam041/2004040687.html http://www.loc.gov/catdir/enhancements/fy0733/2004040687-b.html |
Table of Contents:
- Introduction
- The real and complex numbers
- Real and complex sequences
- Series
- Power series
- Metric spaces
- Continuous functions
- Calculus
- Some special functions
- Lebesgue measure on the Line
- Lebesgue integration on the line
- Function spaces
- Fourier series
- Applications of Fourier Series
- Ordinary differential equations
- Appendix: The Banach-Tarski paradox.