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Real and Complex Analysis, 3E written by
Walter Rudin .
This text consist the basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of "real analysis" and "complex analysis" are thus united; some of the basic ideas from functional analysis are also included.
The prerequisite for this book is a good course in advanced calculus (settheoretic manipulations, metric spaces, uniform continuity, and uniform convergence)
(Walter Rudin)
Book Detail :-
Title: Real and Complex Analysis
Edition: Third Edition
Author(s): Walter Rudin
Publisher: McGraw Hill
Series:
Year: 1987
Pages: 433
Type: PDF
Language: English
ISBN:
Country: US
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About Author :-
Author Walter Rudin (1921 – 2010) was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison.
He was famous because of his worked in complex and harmonic analysis, his textbooks was Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis. Rudin's textbooks have also been translated in Russian, Chinese Spanish and 13 languages.
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Real and Complex Analysis, 3E written by
Walter Rudin
cover the following topics.
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
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
Introduction, Some lemmas, Mergelyan's theorem, Exercises, Appendix: Hausdorff's Maximality Theorem, Notes and Comments, Bibliography, List of Special Symbols, Index
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