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Nonstandard analysis for the working mathematician

Author: Peter A Loeb; Manfred P H Wolff
Publisher: Dordrecht : Springer, 2015. ©2015
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
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 often used as a 'secret weapon' by those who know the technique. This book illuminates the subject with some of the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter A Loeb; Manfred P H Wolff
ISBN: 9789401773270 9401773270 9401773262 9789401773263
OCLC Number: 919317855
Description: 1 online resource
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.
Responsibility: Peter A. Loeb and Manfred P.H. Wolff, editors.

Abstract:

it is often used as a `secret weapon' by those who know the technique.This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis,  Read more...

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