Basic real analysis [electronic resource] / Anthony W. Knapp.
"Basic Real Analysis and Advanced Real Analysis systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing...
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Full Text (via Springer) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston :
Birkhäuser,
©2005.
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| Series: | Cornerstones (Birkhäuser Verlag)
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| Subjects: |
Table of Contents:
- Theory of calculus in one real variable
- Metric spaces
- Theory of calculus in several real variables
- Theory of ordinary differential equations and systems
- Lebesgue measure and abstract measure theory
- Measure theory for Euclidean space
- Measure theory for Euclidean space
- Differentiation of Lebesgue integrals on the line
- Fourier transform in Euclidean space
- Lp spaces
- Topological spaces
- Integration on locally compact spaces
- Hilbert and Banach spaces.