Cover of Francine Diener (EDT), Marc Diener (EDT): Nonstandard Analysis in Practice

Francine Diener (EDT), Marc Diener (EDT) Nonstandard Analysis in Practice

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Springer Berlin Heidelberg

2012

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978-3-642-57758-1

3-642-57758-X

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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.

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