Applied Nonstandard Analysis Book Reviews
Applied Nonstandard Analysis by Martin Davis Book Summary
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
Book Name | Applied Nonstandard Analysis |
Genre | Mathematics |
Author | Martin Davis |
Published | 10 June 2014, Tuesday |
Language | English |
E-Book Size | 20.3 MB |
Applied Nonstandard Analysis (Martin Davis) Book Reviews 2024
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Download Link | Book Format |
applied-nonstandard-analysis-ebook.pdf | |
applied-nonstandard-analysis-ebook.epub | EPUB |
applied-nonstandard-analysis-ebook.kindle | KINDLE |
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Summary of Applied Nonstandard Analysis by Martin Davis
The Applied Nonstandard Analysis book written by Martin Davis was published on 10 June 2014, Tuesday in the Mathematics category. A total of 72 readers of the book gave the book 0 points out of 5.
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