Research Catalog

Real and complex analysis

Title
Real and complex analysis / Walter Rudin.
Author
Rudin, Walter, 1921-2010.
Publication
New York : McGraw-Hill, 1974.

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Details

Description
xii, 452 pages; 23 cm
Series Statement
McGraw-Hill series in higher mathematics
Uniform Title
McGraw-Hill series in higher mathematics
Subject
  • Mathematical analysis
  • Analysis
  • Funktionentheorie
  • Analyse (wiskunde)
  • Fonctions de plusieurs variables complexes
  • Fonctions d'une variable complexe
  • Fonctions réelles
  • Fonctions holomorphes
  • Fonctions de plusieurs variables réelles
  • Analyse mathématique
  • Analysis
  • Funktionentheorie
Bibliography (note)
  • Bibliography: p. [440]-442.
Contents
Prologue: The exponential function -- Abstract integration -- Positive Borel measures -- L[superscript p] -- Elementary Hilbert space theory -- Examples of Banach space techniques -- Complex measures -- Integration on product spaces -- Differentiation -- Fourier transforms -- Elementary properties of holomorphic functions -- Harmonic functions -- The maximum modulus principle -- Approximation by rational functions -- Conformal mapping -- Zeros of holomorphic functions -- Analytic continuation -- H[superscript p]-spaces -- Elementary theory of Banach algebras -- Holomorphic Fourier transforms -- Uniform approximation by polynomials -- Appendix: Hausdorff's maximality theorem.
ISBN
  • 0070542333
  • 9780070542334
  • 0070995575
  • 9780070995574
LCCN
73015743
OCLC
  • ocm00704861
  • 704861
  • SCSB-1945254
Owning Institutions
Princeton University Library