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The Strength of Nonstandard Analysis

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Cover of 'The Strength of Nonstandard Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 The strength of nonstandard analysis
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    Chapter 2 The virtue of simplicity
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    Chapter 3 Analysis of various practices of referring in classical or non standard mathematics
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    Chapter 4 Stratified analysis?
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    Chapter 5 ERNA at work
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    Chapter 6 The Sousa Pinto approach to nonstandard generalised functions
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    Chapter 7 Neutrices in more dimensions
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    Chapter 8 Nonstandard methods for additive and combinatorial number theory. A survey
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    Chapter 9 Nonstandard methods and the Erdős-Turán conjecture
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    Chapter 10 Nonstandard likelihood ratio test in exponential families
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    Chapter 11 A finitary approach for the representation of the infinitesimal generator of a markovian semigroup
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    Chapter 12 On two recent applications of nonstandard analysis to the theory of financial markets
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    Chapter 13 Quantum Bernoulli experiments and quantum stochastic processes
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    Chapter 14 Applications of rich measure spaces formed from nonstandard models
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    Chapter 15 More on S-measures
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    Chapter 16 A Radon-Nikodým theorem for a vector-valued reference measure
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    Chapter 17 Differentiability of Loeb measures
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    Chapter 18 The power of Gâteaux differentiability
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    Chapter 19 Nonstandard Palais-Smale conditions
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    Chapter 20 Averaging for ordinary differential equations and functional differential equations
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    Chapter 21 Path-space measure for stochastic differential equation with a coefficient of polynomial growth
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    Chapter 22 Optimal control for Navier-Stokes equations
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    Chapter 23 Local-in-time existence of strong solutions of the n -dimensional Burgers equation via discretizations
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    Chapter 24 Stratified analysis?
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    Chapter 25 Pre-University Analysis
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The Strength of Nonstandard Analysis
Published by
Springer Vienna, January 2007
DOI 10.1007/978-3-211-49905-4
978-3-21-149904-7, 978-3-21-149905-4

Berg, Imme, Neves, Vítor

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Mendeley readers

The data shown below were compiled from readership statistics for 11 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 9%
Unknown 10 91%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 18%
Researcher 2 18%
Other 1 9%
Student > Master 1 9%
Student > Bachelor 1 9%
Other 1 9%
Unknown 3 27%
Readers by discipline Count As %
Computer Science 3 27%
Mathematics 3 27%
Business, Management and Accounting 1 9%
Philosophy 1 9%
Unknown 3 27%