Nonstandard Analysis for the Working Mathematician
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...
Other Authors: | , |
---|---|
Format: | eBook |
Language: | English |
Published: |
Dordrecht
Springer Netherlands
2015, 2015
|
Edition: | 2nd ed. 2015 |
Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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