Nonstandard Analysis

• Main Author: Väth, Martin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; 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...

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.