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Nonstandard analysis and its applications

Author: Nigel Cutland
Publisher: Cambridge [England] ; New York : Cambridge University Press, 1988.
Series: London Mathematical Society student texts, 10.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topology. The book arises from a conference held in July 1986 at the University of Hull which was designed to provide both  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Nonstandard analysis and its applications.
Cambridge, [England] ; New York : Cambridge University Press, 1988
(DLC) 88016194
(OCoLC)18013779
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Nigel Cutland
ISBN: 9781139172110 1139172115 9781107087934 1107087937
OCLC Number: 818223030
Notes: Papers presented at a conference held at the University of Hull in 1986.
Description: 1 online resource (xiii, 346 pages).
Contents: Preface; Contributors; 1. An invitation to non standard analysis Tom Lindstrom; 2. Infinitesimal in probability theory H. Jerome Keisler; 3. Infinitesimals in functional analysis C. Ward Henson; 4. Applications of non standard analysis in mathematical physics Sergio Albervio; 5. A lattice formulation of real and vector valued integrals Peter A. Loeb; 6. An application of non standard methods to computational group theory B. Benninghofen and M.M. Richter; 7. Syntactical methods in infinitesimal analysis Francine Deiner and Keith D. Stroyan; 8. Some asymptotic results in ordinary differential equations Francine and Marc Diener; 9. Superinfinitesimals and inductive limits Keith D. Stroyan; 10. The non-linear boltzmann equation far from equilibrium Leif Arkeryd; Index.
Series Title: London Mathematical Society student texts, 10.
Responsibility: edited by Nigel Cutland.
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Abstract:

This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for  Read more...

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