The Strength of Nonstandard Analysis

Edited by Imme van den Berg and Vítor Neves

in Springer Books from Springer

Date: 2007
ISBN: 978-3-211-49905-4
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Chapters in this book:

Ch 1 The strength of nonstandard analysis

H. Jerome Keisler

Ch 2 The virtue of simplicity

Edward Nelson

Ch 3 Analysis of various practices of referring in classical or non standard mathematics

Yves Péraire

Ch 4 Stratified analysis?

Karel Hrbacek

Ch 5 ERNA at work

C. Impens and S. Sanders

Ch 6 The Sousa Pinto approach to nonstandard generalised functions

R. F. Hoskins

Ch 7 Neutrices in more dimensions

Imme van den Berg

Ch 8 Nonstandard methods for additive and combinatorial number theory. A survey

Renling Jin

Ch 9 Nonstandard methods and the Erdős-Turán conjecture

Steven C. Leth

Ch 10 Nonstandard likelihood ratio test in exponential families

Jacques Bosgiraud

Ch 11 A finitary approach for the representation of the infinitesimal generator of a markovian semigroup

Schérazade Benhabib

Ch 12 On two recent applications of nonstandard analysis to the theory of financial markets

Frederik S. Herzberg

Ch 13 Quantum Bernoulli experiments and quantum stochastic processes

Manfred Wolff

Ch 14 Applications of rich measure spaces formed from nonstandard models

Peter Loeb

Ch 15 More on S-measures

David A. Ross

Ch 16 A Radon-Nikodým theorem for a vector-valued reference measure

G. Beate Zimmer

Ch 17 Differentiability of Loeb measures

Eva Aigner

Ch 18 The power of Gâteaux differentiability

Vitor Neves

Ch 19 Nonstandard Palais-Smale conditions

Natália Martins and Vítor Neves

Ch 20 Averaging for ordinary differential equations and functional differential equations

Tewfik Sari

Ch 21 Path-space measure for stochastic differential equation with a coefficient of polynomial growth

Toru Nakamura

Ch 22 Optimal control for Navier-Stokes equations

Nigel J. Cutland and Katarzyna Grzesiak

Ch 23 Local-in-time existence of strong solutions of the n-dimensional Burgers equation via discretizations

João Paulo Teixeira

Ch 24 Calculus with infinitesimals

Keith D. Stroyan

Ch 25 Pre-University Analysis

Richard O’Donovan

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DOI: 10.1007/978-3-211-49905-4

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