Real and complex analysis

Real and complex analysis

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Bibliographic Details
Main Author : Rudin Walter (Auteur)
Format : Book
Language : anglais
Title statement : Real and complex analysis / Walter Rudin,...
Edition : 3rd edition
Published : New York, Paris [etc.] : McGraw-Hill , C 1987
Physical Description : 1 vol. (XIV-416 p.)
Subjects :
Fonctions (mathématiques)
Analyse mathématique
Fonctions de plusieurs variables complexes
Fonctions d'une variable complexe
Fonctions réelles
Fonctions holomorphes
Fonctions de plusieurs variables réelles
  • Chapter 1. Abstract integration
  • Chapter 2. Positive Borel measures
  • Chapter 3. Lp-spaces
  • Chapter 4. Elementary Hilbert space theory
  • Chapter 5. Examples of Banach space techniques
  • Chapter 6. Complex measures
  • Chapter 7. Differentiation
  • Chapter 8. Integration on product spaces
  • Chapter 9. Fourier transforms
  • Chapter 10. Elementary properties of holomorphic functions
  • Chapter 11. Harmonic functions
  • Chapter 12. The maximum modulus principle
  • Chapter 13. Approximation by rational functions
  • Chapter 14. Conformal mapping
  • Chapter 15. Zeros of holomorphic functions
  • Chapter 16. Analytic continuation
  • Chapter 17. Hp-spaces
  • Chapter 18. Elementary theory of Banach algebras
  • Chapter 19. Holomorphic Fourier transforms
  • Chapter 20. Uniform approximation by polynomials