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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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5
Great lightweight comforter pretty pretty pattern and soft fabric
Size: King (106"x96"), Color: Coin Pattern Bluish Grey
Love this lightweight quilt so far! The gray/blue color was exactly what I was looking for. (Trying to match a Confederate blue and it worked) I ordered a king size for a queen bed and it was the perfect length I was looking for. It is soft and the pattern is pretty. I threw it in the wash when it came, on a gentle cycle and dried it on a regular cycle, It came out perfect! Very happy with the price and the quality
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Reviewed in the United States on May 22, 2026
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5
Just the pop-up color I was looking for!
Size: King (106"x96"), Color: Coin Pattern Umber, Size: King (106"x96"), Color: Coin Pattern Umber
Just the pop color I was looking for! Soft, comfortable, and adorable! My son loves it and when we have a guest come over, they said it was super comfortable as well! Very cost-effective and great quality! You canβt go wrong!
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Reviewed in the United States on June 8, 2026
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5
Pretty sage green quilt just as shown online
Size: Full/Queen (90"x96"), Color: Coin Pattern Sage
The quilt is just as advertised. I ordered the sage cream color and the design and color are very pretty. It is a lightweight cotton quilt, which is exactly what I was hoping it would be for the summer months. I washed the quilt and accompanying shams after opening the package, and they washed and dried well with no apparent shrinkage. I bought a full/queen size, and I am using it on a full bed so there is a generous overhang. It should also fit a queen bed quite well.
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Reviewed in the United States on May 18, 2026
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5
Perfectπ€
Size: Oversized King (120" x 120"), Color: Coin Pattern White
This is super soft and light for summer. Iβm a hot sleeper so this is perfect for me almost all year round. It washes and dries nice and the oversized one is really oversized. Super soft like cotton soft. I hate the scratchy bedding, this is not scratchy. Seems durable too. Overall itβs a very nice bedspread especially for the price. π€
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Reviewed in the United States on May 18, 2026
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5
Warm, cozy, soft, π love
I don't leave reviews very often (yes that is cliche) I just don't have time. I have been debating for a few months one what I actually wanted to do with my bedroom. Spring is coming and the dark is getting to me and wanted to still get an elegant feel. I have some light baby blue around in my other comforter but I needed lighter brighter. I saw this and how SOFT is looked and I LOVE soft and cozy, who doesn't? I am so glad I took the chance. With that I also ordered the pillow....what I thought were pillows but didn't read very clearly they were just the covers so I ordered pillows then the picture I knew would still be elegant but be able to tie all the peices in and OFF the internet. Sometimes colors are not the same online as in person since monitors are always different shades of a color.
Now on to this comforter. I didn't realize it came with the pillow covers. π the set comes vacuum sealed but it is heavy when vacuumed. I undid the packaging a day later when I had time to wash. The cover flew out and I was perplexed, it's a pillow cover!!!! Awesome!!!! Ohhh there's 2, woohoo! Omg it's so soft. Oh I'm in heaven. Mmmmm hugging the pillow cover, I knew this was my kinda softness bed comforter. It is not LIGHT weight like say a throw blanket but it is light vs heavy bulky goose downs even though they say those are light. And when you wash it, its def not heavy if u spin the water out at super high setting on ur washer. I was able to carry it to the dryer fairly easy 20 ft away.
This is by far the BEST comforter I bought in my life. I am a hoarder when it comes to comforters. Thinking if I'm ever homeless I'll have lots of somethings to keep me warm. For the price and the quality, (the batting inside doesn't shift when washing) this will be another purchase in the future in another color so I can start a soft collection. I usually give my comforters that I dont use ( the oldest but still perfect condition) to a friend or homeless.
Great product!!!!
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Reviewed in the United States on February 6, 2020
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