ENGLISH

Nonstandard Analysis

By Martin Andreas Väth

Book information

Publisher
Birkhäuser
Year
2007
ISBN
3764377739, 9783764377731
Language
english
Format
PDF
Filesize
2 MB (1824908 bytes)
Edition
1
Pages
262\262
Library
Kolxo3
Time added
2012-08-21 20:00:00

Description

This book introduces Robinson's nonstandard analysis, an application of model theory in analysis. Unlike some texts, it does not attempt to teach elementary calculus on the basis of nonstandard analysis, but points to some applications in more advanced analysis. The contents proceed from a discussion of the preliminaries to Nonstandard Models; Nonstandard Real Analysis; Enlargements and Saturated Models; Functionals, Generalized Limits, and Additive Measures; and finally Nonstandard Topology and Functional Analysis. No background in model theory is required, although some familiarity with analysis, topology, or functional analysis is useful. This self-contained book can be understood after a basic calculus course.

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