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Applied Nonstandard Analysis by Martin Davis (Paperback, 2005)

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Product Information

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 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

Product Identifiers

PublisherDover Publications Inc.

ISBN-139780486442297

eBay Product ID (ePID)95019748

Product Key Features

Number of Pages208 Pages

LanguageEnglish

Publication NameApplied Nonstandard Analysis

Publication Year2005

SubjectMathematics

TypeTextbook

AuthorMartin Davis

FormatPaperback

Dimensions

Item Height216 mm

Item Weight218 g

Item Width138 mm

Additional Product Features

Country/Region of ManufactureUnited States

Title_AuthorMartin Davis

Series TitleDover Books on Mathematics