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Nonstandard Analysis for the Working Mathematician

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Cover of 'Nonstandard Analysis for the Working Mathematician'

Table of Contents

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    Book Overview
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    Chapter 1 Simple Nonstandard Analysis and Applications
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    Chapter 2 An Introduction to General Nonstandard Analysis
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    Chapter 3 Topology and Measure Theory
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    Chapter 4 Banach Spaces and Linear Operators
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    Chapter 5 General and End Compactifications
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    Chapter 6 Measure Theory and Integration
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    Chapter 7 Stochastic Analysis
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    Chapter 8 New Understanding of Stochastic Independence
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    Chapter 9 Nonstandard Analysis in Mathematical Economics
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    Chapter 10 Density Problems and Freiman’s Inverse Problems
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    Chapter 11 Hypernatural Numbers as Ultrafilters
Attention for Chapter 2: An Introduction to General Nonstandard Analysis
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