Name: applied nonstandard analysis
Price: 390.00 ZAR
Availability: InStock
Author: Davis, Martin
ISBN: 9780486442297

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Type

Physical Book

Author

Martin Davis

Publisher

Dover Publications

Language

English

Pages

186

Format

Paperback

Dimensions

21.6 x 13.8 x 1.1 cm

Weight

0.22 kg.

ISBN

0486442292

ISBN13

9780486442297

Synopsis "applied nonstandard analysis"

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

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applied nonstandard analysis - Davis, Martin

Synopsis "applied nonstandard analysis"

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