Real and complex analysis / Walter Rudin



Digitised Book 216.73.216.191 (0)

1986

Real and complex analysis / Walter Rudin

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Information About

This book contains a first-year graduate course in which 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.

Subjects

Mathematical analysis

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Additional Details

Title
Real and complex analysis / Walter Rudin
Creators
  • Rudin, Walter, 1921-
Subject
  • Mathematical analysis
Publisher
  • McGraw-Hill, 1986
  • National Library Board Singapore, 1986
Digital Description
application/pdf, xiv, 416 p.
Table of Contents
  • the exponential function –- ch.1 Abstract integration –- ch.2 Positive Borel measures –- 3. Lp-spaces -– ch.4 Elementary Hilbert space theory -– ch.5 Examples of Banach space techniques -– ch.6 Complex measures -- ch.7 Differentiation –- ch.8 Integration on product spaces –- ch.9 Fourier transforms -– ch.10 Elementary properties of holomorphic functions –- ch.11 Harmonic functions harmonic functions -– ch.12 The maximum modulus principle –- ch.13 Approximation by rational functions –- ch.14 Conformal mapping -– ch.15 Zeros of holomorphic functions -- ch.16 Analytic continuation –- ch.16 Hp-spaces –- ch.18 Elementary theory of Banach algebras -– ch.19 Holomorphic fourier transforms -– ch.20 Uniform approximation by polynomials -- Appendix: Hausdorff's maximality theorem -- Notes and comments –- Bibliography -- List of special symbols -- Index.
Edition
  • 3rd ed., International ed.
Copyright
  • All Rights Reserved. National Library Board Singapore 2009.