Verwandte Artikel zu Nonstandard Analysis in Practice (Universitext)

Nonstandard Analysis in Practice (Universitext) - Softcover

Buch 129 von 261: Universitext

Diener, Francine

 
9783540602972: Nonstandard Analysis in Practice (Universitext)
Softcover
ISBN 10: 3540602976 ISBN 13: 9783540602972
Verlag: Springer, 2013

Inhaltsangabe

This book introduces the graduate mathematician and researcher to the effective use of nonstandard analysis (NSA). It provides a tutorial introduction to this modern theory of infinitesimals, followed by nine examples of applications, including complex analysis, stochastic differential equations, differential geometry, topology, probability, integration, and asymptotics. It ends with remarks on teaching with infinitesimals.

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Von der hinteren Coverseite

The purpose of this book is to provide an effective introduction to nonstandard methods. A short tutorial giving the necessary background, is followed by applications to various domains, independent from each other. These include complex dynamical systems, stochastic differential equations, smooth and algebraic curves, measure theory, the external calculus, with some applications to probability. The authors have been using Nonstandard Analysis for many years in their research. They all belong to the growing nonstandard school founded by G. Reeb, which is attracting international and interdisciplinary interest.

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
3540602976
ISBN 13 
9783540602972
Einband
Taschenbuch
Anzahl der Seiten
268
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