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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Loeb, Peter A. (Editor ), Wolff, Manfred P. H. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2015.
Edición:2nd ed. 2015.
Temas:
Functional analysis.
Measure theory.
Operator theory.
Game theory.
Mathematical logic.
Number theory.
Functional Analysis.
Measure and Integration.
Operator Theory.
Game Theory.
Mathematical Logic and Foundations.
Number Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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