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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
Not practical for one person to attach to their wrist person
Color: Gold, Size: Small
Beautiful gave as thank you gifts
Not received well by all 3 ladies it takes 2 hands to to attach the bracelet
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Reviewed in the United States on March 8, 2026
★★★★★ 5
good bracelet
Color: Gold, Size: Small
Got this in size small for my son. So far its broken once but it was fixable, he loves it and wears it all the time.
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Reviewed in the United States on April 14, 2026
★★★★★ 3
Your gonna lose it very easily
Color: Gold, Size: Large
It’s a nice bracelet but Be careful it’s very easy to lose since it opens and falls off I wouldn’t recommend to anyone else!
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Reviewed in the United States on November 13, 2025
★★★★★ 4
Someone will need to help you put it on.
Color: Gold, Size: Large
Very hard to put on.
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Reviewed in the United States on August 21, 2025
★★★★★ 5
Really liked it
Color: Gold, Size: Large, Color: Gold, Size: Large
I really liked this bracelet. The quality is good, the gold color shines nicely, and the clasp feels strong. It looks very stylish on the hand. The box was also neat and clean. Overall, I’m happy with the purchase and I recommend it!
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Reviewed in the United States on November 27, 2025