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Nonstandard Analysis in Practice

Francine Diener
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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.
      Format: Paperback / softback CONTRIBUTORS: Francine Diener EAN: 9783540602972 COUNTRY: Germany PAGES: WEIGHT: 840 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DATE PUBLISHED: 1995-12-14 CITY: GENRE: MATHEMATICS / Geometry / Differential, MATHEMATICS / Logic, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Mathematical foundations, Mathematical logic, Real analysis, real variables, Differential and Riemannian geometry, Probability and statistics, Stochastics

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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.
      Format: Paperback / softback CONTRIBUTORS: Francine Diener EAN: 9783540602972 COUNTRY: Germany PAGES: WEIGHT: 840 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DATE PUBLISHED: 1995-12-14 CITY: GENRE: MATHEMATICS / Geometry / Differential, MATHEMATICS / Logic, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Mathematical foundations, Mathematical logic, Real analysis, real variables, Differential and Riemannian geometry, Probability and statistics, Stochastics

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