Principles of Mathematical Analysis, 3/e (Paperback)

Walter Rudin

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Description
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included.

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Table of Contents
Chapter 1: The Real and Complex Number Systems 
Chapter 2: Basic Topology 
Chapter 3: Numerical Sequences and Series 
Chapter 4: Continuity 
Chapter 5: Differentiation 
Chapter 6: The Riemann-Stieltjes Integral 
Chapter 7: Sequences and Series of Functions 
Chapter 8: Some Special Functions 
Chapter 9: Functions of Several Variables 
Chapter 10: Integration of Differential Forms 
Chapter 11: The Lebesgue Theory