Real and Complex Analysis,3e

Author: Walter Rudin

Publisher: McGraw Hill Education

Content:

1. Abstract Integration
2. Positive Borel Measures
3. Lp-Spaces
4. Elementary Hilbert Space Theory
5. Examples of Banach Space Techniques
6. Complex Measures
7. Differentiation
8. Integration on Product Spaces
9. Fourier Transforms
10. Elementary Properties of Holomorphic Functions
11. Harmonic Functions
12. The Maximum Modulus Principle
13. Approximation by Rational Functions
14. Conformal Mapping
15. Zeros of Holomorphic Functions
16. Analytic Continuation
17. Hp-Spaces
18. Elementary Theory of Banach Algebras
19. Holomorphic Fourier Transforms
20. Uniform Approximation by Polynomials
    Appendix: Hausdorff’s Maximality Theorem
    Notes and Comments
    Bibliography
    List of Special Symbols
    Index

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