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Nonstandard Analysis in Practice
Door Francine Diener e.a.
| Categorie | Algemeen wetenschap |
|---|---|
| Boeknummer | #342012 |
| Titel | Nonstandard Analysis in Practice |
| Auteur | Diener, Francine & Marc Diener (editors) |
| Boektype | Paperback |
| Uitgeverij | Berlin/Heidelberg : Springer-Verlag |
| Jaar van uitgave | 1995 |
| ISBN10 | 3540602976 |
| ISBN13 | 9783540602972 |
| Taal | Engels |
| Beschrijving | Paperback, illustrated with numerous equations and diagrams, 8vo. Universitext. |
| Samenvatting | An introduction to the use of nonstandard analysis. This study provides a survey of this theory of infinitesimals, followed by examples of applications, including complex analysis, stochastic differential equations, differential geometry, topology, probability, integration and asymptotics. 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. 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. |
| Pagina's | 250 |
| Conditie | Goed — Name in pen on title page. |
| Prijs | € 25,00 |
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