Nonstandard analysis for the working mathematician / Peter A. Loeb and Manfred P.H. Wolff, editors.
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is...
Saved in:
| Online Access: |
Full Text (via Springer) |
|---|---|
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer,
2015.
|
| Edition: | Second edition. |
| Subjects: |
Table of Contents:
- Simple Nonstandard Analysis and Applications
- An Introduction to General Nonstandard Analysis
- Topology and Measure Theory
- Banach Spaces and Linear Operators
- General and End Compactifications
- Measure theory and integration
- Stochastic Analysis
- New Understanding of Stochastic Independence
- Nonstandard Analysis in Mathematical Economics
- Density Problems and Freiman's Inverse Problem
- Hypernatural numbers as ultrafilters.