Applied Non Standard Analysis Free Download
Category: Calculus & Mathematical Analysis|
Format files: PDF, EPUB, TXT, DOC
The size of the: 19.51 MB
City - Country: New York, United States
The author of the book: Martin Davis
Edition: Dover Publications Inc.
Date of issue: 29 Jul 2005
Full description of the book "Applied Non Standard 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 PDF, 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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