Infinitesimal methods of mathematical analysis /

"This introduction to infinitesimal methods is aimed at undergraduate and graduate level students who have a general background in analysis. It surveys recent reformulations of the infinitesimal concept and gives a comprehensive account of the hyperreal number system and of nonstandard analysis...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Pinto, J. Sousa
Autres auteurs: Hoskins, R. F.
Format: Électronique eBook
Langue:Inglés
Portugués
Publié: Chichester, West Sussex : Horwood, 2004.
Sujets:
Nonstandard mathematical analysis.
Calculus.
Schwartz distributions.
Analyse math�ematique non standard.
Calcul infinit�esimal.
calculus.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Calculus
Nonstandard mathematical analysis
Schwartz distributions
Accès en ligne:Texto completo
Table des matières:
  • 1. Calculus and the infinitesimals
  • 2. "Standard" infinitesimal methods
  • 3. Introduction to nonstandard analysis
  • 4. Applications to elementary real analysis
  • 5. Further developments
  • 6. Foundations of nonstandard analysis
  • 7. Hyperfinite analysis
  • 8. Hyperfinite representation of distributions
  • 9. Hyperfinite Fourier analysis
  • App. A. Evolution of the concept of function
  • App. B. The theorem of Los.

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