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Applied Nonstandard Analysis

Categorie	Algemeen wetenschap
Boeknummer	#342025-ZA23
Titel	Applied Nonstandard Analysis
Auteur	Davis, Martin
Boektype	Paperback
Uitgeverij	Mineola, NY : Dover Publications
Jaar van uitgave	2005
ISBN10	0486442292
ISBN13	9780486442297
Taal	Engels
Beschrijving	Paperback, illustrated with numerous equations and diagrams, 8vo. Dover Books on Mathematics.
Samenvatting	Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction of the real number system, it leads students through a nonstandard treatment of the basic topics of elementary real analysis, topological spaces, and Hilbert space. Important topics include nonstandard treatments of equicontinuity, nonmeasurable sets, and the existence of Haar measure. The focus on compact operators on a Hilbert space includes the Bernstein-Robinson theorem on invariant subspaces, which was first proved with nonstandard methods. Ever mindful of ... (Lees verder)the needs of readers with little background in these subjects, the text offers a straightforward treatment that provides a strong foundation for advanced studies of analysis
Pagina's	186
Conditie	Goed — Name in pen on title page.
Prijs	€ 10,00

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