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Lecture Notes in Logic, 25
Nonstandard Methods and Applications in Mathematics

 

Nigel J. Cultand, Mauro Di Nasso, David A. Ross , editors

 

A collection of research articles that arose from a conference on Nonstandard Analysis and Applications in Mathematics held in Pisa, Italy, June 2002. The papers are a mix of survey articles and research articles. They cover the foundations of nonstandard analysis, nonstandard analysis in pure mathematics and in applied mathematics, and even teaching calculus with nonstandard analysis.

Year: 2006
Price:$35.00
ISBN: 1-56881-292-2
262 pages. Paperback.

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Year: 2006
Price:$75.00 ISBN:1-56881-291-4
262 pages. Hardcover.

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Table of Contents

Preface

Foundations

Vieri Benci, Mauro Di Nasso, and Marco Forti
The eightfold path to nonstandard analysis

Sergio Fajardo and H. Jerome Keisler
Neoclosed forcing

Karel Hrbacek
Nonstandard objects in set theory

Pure Mathematics
Peter A. Loeb
The microscopic behavior of measurable functions

David A. Ross
Nonstandard measure contructions—solutions and problems

Renling Jin
Inverse problem for upper asymptotic density II

Angus Macintyre
Nonstandard analysis and cohomology

Applied Mathematics

Niegel J. Cutland
Loeb space methods for stochastic Navier-Stokes equations

Manfred P.H. Wolff
Discrete approximations of compact operators and approximations of their spectra

Richard O'Donovan and John Kimber
Nonstandard analysis at pre-university level: Naive magnitude analysis

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