ENGLISH

Nonstandard Analysis in Practice

By Francine Diener , F. Diener , M. Diener (auth.) , Marc Diener (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1995
ISBN
978-3-540-60297-2, 978-3-642-57758-1
DOI
10.1007/978-3-642-57758-1
Language
english
Format
PDF
Filesize
20 MB (20549545 bytes)
Series
Universitext
Edition
1
Pages
250\261
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Real Functions; Mathematical Logic and Foundations

Description

The purpose of this book is to provide an effective introduction to nonstandard methods. A short tutorial giving the necessary background, is followed by applications to various domains, independent from each other. These include complex dynamical systems, stochastic differential equations, smooth and algebraic curves, measure theory, the external calculus, with some applications to probability. The authors have been using Nonstandard Analysis for many years in their research. They all belong to the growing nonstandard school founded by G. Reeb, which is attracting international and interdisciplinary interest.

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