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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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