Nonstandard Analysis for the Working Mathematician
This book is addressed to mathematicians working in analysis and its applications. The aim is to provide an understandable introduction to the basic theory of nonstan dard analysis in Part I, and then to illuminate some of its most striking applications. Much of the book, in particular Part I, can...
| Other Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2000, 2000
|
| Edition: | 1st ed. 2000 |
| Series: | Mathematics and Its Applications
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I An Introduction to Nonstandard Analysis by Peter A. Loeb
- 1 A Simple Introduction to Nonstandard Analysis
- 2 An Introduction to General Nonstandard Analysis
- 3 Topology and Measure Theory
- II Functional Analysis by Manfred P. H. Wolff
- 4 Functional Analysis
- III Measure and Probability Theory and Applications by Horst Osswald and Yeneng Sun
- 5 Measure Theory and Integration
- 6 Probability Theory
- 7 Conventional Operations on Nonstandard Constructions
- IV Economics and Nonstandard Analysis by Yeneng Sun
- 8 Nonstandard Analysis in Mathematical Economics