Nonstandard Analysis in Practice
Description
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.
Keywords
MathematicsMathematical AnalysisLogicGeometryDifferentialProbability & StatisticsHistory & Philosophy
1995Book
Author(s)M. Diener, Francine Diener
PublisherSpringer Science & Business Media
ISBN9783540602972
LanguageEnglish
