Articles liés à Nonstandard Analysis in Practice

Nonstandard Analysis in Practice - Couverture souple

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9783540602972: Nonstandard Analysis in Practice
Couverture souple
ISBN 10 : 3540602976 ISBN 13 : 9783540602972
Editeur : Springer, 2013

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2013
Langue
anglais
ISBN 10 
3540602976
ISBN 13 
9783540602972
Reliure
Broché
Nombre de pages
250
Éditeur
Diener Francine, Diener Marc
Coordonnées du fabricant
non disponible
Personne responsable
non disponible