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...

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Bibliographic Details
Other Authors: Loeb, Peter A. (Editor), Wolff, Manfred P. H. (Editor)
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