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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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Too small
I was expecting a smaller ball launcher that would still launch regular size tennis balls. Nope
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Reviewed in the United States on May 7, 2024
★★★★★ 5
Made for small dog
Do not get this size unless you have a very small dog.
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Reviewed in the United States on June 9, 2023
★★★★★ 3
Wrong size
The description said that the chucker was compatible for regular size tennis balls, but it is only for smaller balls. So I never used it, returned to find a larger size.
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Reviewed in the United States on March 14, 2024
★★★★★ 5
One Tough Ball!
Color: Blue
Our dogs are loving this ball. Our 1 yr old hound is a world-class chewer and he can't make a dent in this ball. The interactive buzzing and bouncing keeps them entertained for long durations. It's a mite noisy but the barking from the 1 yr old is much louder, lol. Even turned off, they like playing with it and chewing on it. Based on the tough construction, we think it will last much longer than traditional chew balls.
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Reviewed in the United States on March 22, 2026
★★★★★ 5
My puppy’s favorite
Color: Orange
Great quality and built to last. My dog really enjoys playing with it and stays entertained for quite a while. The material is strong yet safe, and the included drawstring bag is a convenient extra for easy storage.
Is colorful and my become my puppy’s favorite.
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Reviewed in the United States on March 1, 2026