Nonstandard Analysis

Nonstandard analysis was originally developed by Robinson to rigorously justify infinitesimals like df and dx in expressions like df/dx in Leibniz' calculus or even to justify concepts like \delta-`functions'. However, the approach is much more general and was soon extended by Henson, Luxe...

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Bibliographic Details
Main Author: Väth, Martin Andreas
Format: eBook
Language:English
Published: Basel Birkhäuser 2007, 2007
Edition:1st ed. 2007
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preliminaries
  • Nonstandard Models
  • Nonstandard Real Analysis
  • Enlargements and Saturated Models
  • Functionals, Generalized Limits, and Additive Measures
  • Nonstandard Topology and Functional Analysis
  • Miscellaneous