
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:
1568812922
262 pages. Paperback.
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Year: 2006
Price:$75.00 ISBN:1568812914
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 NavierStokes equations
Manfred P.H. Wolff
Discrete approximations of compact operators and approximations of their spectra
Richard O'Donovan and John Kimber
Nonstandard analysis at preuniversity level: Naive magnitude analysis
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