Martin Andreas Väth
Nonstandard Analysis
Gebonden Engels 2006 9783764377731
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783764377731
Taal:Engels
Bindwijze:gebonden
Uitgever:Birkhäuser Basel
Lezersrecensies
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Inhoudsopgave
Preliminaries.- Nonstandard Models.- Nonstandard Real Analysis.- Enlargements and Saturated Models.- Functionals, Generalized Limits, and Additive Measures.- Nonstandard Topology and Functional Analysis.- Miscellaneous.
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