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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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4.2 ★★★★★
Based on 859 reviews
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Product Reviews
★★★★★ 5
Good start to a series
Format: Kindle
I delayed reading the series for reasons I don’t remember. But my TBR list is huge so I thought I’d take a shot of this and I was pleasantly surprised. I didn’t think the blurb about it was anything special. But it was a very good book. It took some interesting twists and turns. I am so glad the second book is already out. Because I would not have waited patiently. Very slow burn but good storyline. 🔥🔥/5
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Reviewed in the United States on January 3, 2025
★★★★★ 4
A good read
Format: Kindle
Multiple points of view. 3 Alpha men and an Omega male. She is a Beta in training for a new program placing betas in Alpha/Omega packs. Mila is only doing the program for the money to take care of her dad. She wasn't expecting to fall for a pack but when she sees this packs Omega she is done for. There is just something about him. His Alphas are good looking as well. Too bad she is hiding a secret and their government is acting shady. I liked it and can't wait to see where their story goes.
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Reviewed in the United States on November 14, 2023
★★★★★ 3
Slightly repetitive but I did love some things
Format: Kindle
I love this type of story. And omegaverse is one of my all time favorite genres. But there are a few things that pulled me out of my enjoyment while I was reading. It was repetitive at times as well as struggled with telling not showing. So we didn’t always feel like we were experiencing things with the main character. There were also some plot holes but they may still be answered in part 2.
Now this isn’t to be said I didn’t enjoy parts of the story. I loved the almost instant love between Mila and Oliver. And how he started changing around her.
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Reviewed in the United States on February 15, 2024
★★★★★ 5
delightful read
Format: Kindle
What a delightful read. The characters are awesome, the plot was so good, I loved it. I was intrigued and it kept me wanting more. Told in multiple pov, the book sucks you in and doesn’t let go. I cannot wait to read the next book.
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Reviewed in the United States on January 30, 2025
★★★★★ 4
not bad
Format: Kindle
I loved the plot of this book. The characters just didn’t have a lot of depth. The connections and “love” just weren’t communicated very well in the writing. The author didn’t write the sweet psycho trope very well at all either. Lachlan was just a mess of a character.
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Reviewed in the United States on November 17, 2023
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