Overview

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. Written by members of the Reeb-school, and favouring typical examples, the results are new or give at least new insights into classical problems. Even if its first purpose is to help the readers to use NSA, it gives a taste of the research in progress in this domain.

Full Product Details

Author:   Francine Diener ,  Marc Diener
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1995
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.840kg
ISBN:  

9783540602972

ISBN 10:   3540602976
Pages:   250
Publication Date:   14 December 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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