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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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Soft, lush faux fur blanket. Good quality for the price. Our pups love them. Keeps you cozy warm on chilly nights
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Reviewed in the United States on May 10, 2026
★★★★★ 5
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Extremely soft and warm. No shedding and doesn’t lose shape - exactly as described. Very pleased with this throw.
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Reviewed in the United States on May 25, 2026
★★★★★ 4
Great quality at very reasonable price
Color: Tie-dye Pink, Size: Throw(50" X 60")
Soft and warm. Washed nicely and was able to dry in dryer on low heat and it fluffed up nicely.
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Reviewed in the United States on April 4, 2026
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LOVE this blanket hoodie!!
Color: Grey, Size: Standard
I’ve been using my Blanket Hoodie mainly while working at home and relaxing in the evenings. It’s exceptionally soft and warm!
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Reviewed in the United States on January 9, 2026
★★★★★ 5
Great gifts for grandkids
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Reviewed in the United States on January 26, 2026