Warenkorb
€ 0,00 0 Buch dabei,
portofrei
Nonstandard Analysis als Buch
- 6 % **

Nonstandard Analysis

Theory and Applications. 'NATO Science Series C'. Auflage 1997. Book. Sprache: Englisch.
Buch (gebunden)
Proceedings of the NATO Advanced Study Institute on Nonstandard Analysis and its Applications, International Centre for Mathematical Studies, Endinburgh, Scotland, 30 June-13 July 1996
Jetzt

252,49*

inkl. MwSt.
Bisher: € 269,49
Portofrei
Lieferbar innerhalb von zwei bis drei Werktagen
Nonstandard Analysis als Buch

Produktdetails

Titel: Nonstandard Analysis

ISBN: 079234586X
EAN: 9780792345862
Theory and Applications.
'NATO Science Series C'.
Auflage 1997.
Book.
Sprache: Englisch.
Herausgegeben von Leif O. Arkeryd, Nigel J. Cutland, C. Ward Henson
Springer Netherlands

30. April 1997 - gebunden - 384 Seiten

Beschreibung

1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im­ portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental themes re­ cur. The nonstandard framework allows many informal ideas (that could loosely be described as idealisation) to be made precise and tractable. For example, the real line can (in this framework) be treated simultaneously as both a continuum and a discrete set of points; and a similar dual ap­ proach can be used to link the notions infinite and finite, rough and smooth. This has provided some powerful tools for the research mathematician - for example Loeb measure spaces in stochastic analysis and its applications, and nonstandard hulls in Banach spaces. The achievements of NSA can be summarised under the headings (i) explanation - giving fresh insight or new approaches to established theories; (ii) discovery - leading to new results in many fields; (iii) invention - providing new, rich structures that are useful in modelling and representation, as well as being of interest in their own right. The aim of the present volume is to make the power and range of appli­ cability of NSA more widely known and available to research mathemati­ cians.

Inhaltsverzeichnis

Preface. Foundations of Nonstandard Analysis: A Gentle Introduction to Nonstandard Extensions; C.W. Henson. Nonstandard Real Analysis; N.J. Cutland. Nonstandard Analysis and Topology; P.A. Loeb. Loeb Measure and Probability; D.A. Ross. An Introduction to Nonstandard Functional Analysis; M.P.H. Wolff. Applications of Nonstandard Analysis in Ordinary Differential Equations; E. Benoit. Better Nonstandard Universes with Applications; R. Jin. Internal Martingales and Stochastic Integration; T. Lindstrøm. Stochastic Differential Equations with Extra Properties; H.J. Keisler. Hyperfinite Mathematical Finance; P.E. Kopp. Applications of NSA To Mathematical Physics; L. Arkeryd. A Nonstandard Approach to Hydromechanics: Navier-Stokes Equations; M. Capinski. Index.
Servicehotline
089 - 70 80 99 47

Mo. - Fr. 8.00 - 20.00 Uhr
Sa. 10.00 - 20.00 Uhr
Filialhotline
089 - 30 75 75 75

Mo. - Sa. 9.00 - 20.00 Uhr
Bleiben Sie in Kontakt:
Sicher & bequem bezahlen:
akzeptierte Zahlungsarten: Überweisung, offene Rechnung,
Visa, Master Card, American Express, Paypal
Zustellung durch:
* Alle Preise verstehen sich inkl. der gesetzlichen MwSt. Informationen über den Versand und anfallende Versandkosten finden Sie hier.
** Deutschsprachige eBooks und Bücher dürfen aufgrund der in Deutschland geltenden Buchpreisbindung und/oder Vorgaben von Verlagen nicht rabattiert werden. Soweit von uns deutschsprachige eBooks und Bücher günstiger angezeigt werden, wurde bei diesen kürzlich von den Verlagen der Preis gesenkt oder die Buchpreisbindung wurde für diese Titel inzwischen aufgehoben. Angaben zu Preisnachlässen beziehen sich auf den dargestellten Vergleichspreis.