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Description
Applied Nonstandard AnalysisGeared 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
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
Binding Type: Paperback
Publisher: Dover Publications
Published: 07/26/2005
ISBN: 9780486442297
Pages: 186
Weight: 0.48lbs
Size: 8.50h x 5.42w x 0.43d
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★★★★★ 1
End table
Color: Black, Item Package Quantity: 2
Size was not what I expected
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Reviewed in the United States on May 16, 2026
★★★★★ 5
Perfect add to bathroom
Size: 24x6 2Pcs, Color: White
These are perfect. They are just as advertised. They are easy to hang and all needed materials come included (screws and different drywall hanging options).
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Reviewed in the United States on May 18, 2026
★★★★★ 5
Pink perfect and easy to mount
Super easy. Just mount the bracket with a small level and the shelf slides on perfect. And has screws to keep shelf from sliding off. Easy to
Do and the pink was the perfect color
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Reviewed in the United States on April 29, 2026
★★★★★ 4
Good quality, but a few issues with the hidden mounts and levelness.
Size: 35x7 2Pcs, Color: Black, Size: 35x7 2Pcs, Color: Black
These are quite nice and also sturdy. Only complaint I have is that I bought a couple of these, and on one of them, only one of them, it was difficult to get the hidden mounts to go into the holes. I think it was probably a manufacturing defect thing. Also, on that particular one, it wasnt as level as the other. Not a show stopper, but if you need a perfectly level type of mounting situation, I would be careful here.
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Reviewed in the United States on September 14, 2025
★★★★★ 5
Great value/easy to install.
Size: 24x6 2Pcs, Color: Black, Size: 24x6 2Pcs, Color: Black
Great product and great value. Easy to install and adds a nice touch to a bathroom.
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Reviewed in the United States on March 21, 2026