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Description
Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem FormThis remarkable book develops the subject of linear algebra in a novel fashion. A logically interconnected sequence of propositions and problems some 2,400 in all appears without proofs. Assisted only by hints and pointers, students must work out formal proofs systematically, proceeding from simple verifications to relatively advanced strategies and techniques of proof. This volume also presents insights into functional analysis, which may be
This remarkable book develops the subject of linear algebra in a novel fashion. A logically interconnected sequence of propositions and problems--some 2,400 in all--appears without proofs. Assisted only by hints and pointers, students must work out formal proofs systematically, proceeding from simple verifications to relatively advanced strategies and techniques of proof.This volume also presents insights into functional analysis, which may be formulated as linear analysis without an infinite dimensional framework. As students allow their consideration of the propositions to move toward the limiting case of unrestricted dimensionality, they will find that their conceptual outlook approaches that which is suitable to functional analysis. In this regard, the book represents an introduction to the latter subject, free of the difficulties inherent in the explicit admission of infinities.
Based on the proposition that the best way to learn mathematics is to do mathematics, this approach will appeal to strongly motivated students. It can also be used as a resource for independent study and in cooperative seminars, as well as in conventional advanced undergraduate and graduate courses.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/15/2006
ISBN: 9780486453323
Pages: 520
Weight: 1.27lbs
Size: 8.60h x 5.46w x 1.08d
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★★★★★ 5
Fun Bath Toy - Loud Squeaker
Size: Small
My dog loves these little squeaky toys. The squeaker is loud and the toy is very durable. She can chew on it and it still looks the same. We love to add them into the bathtub when it’s time for a bath to make her less stressed. She loves to bat them around the house. They roll around pretty well.
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Reviewed in the United States on March 10, 2026
★★★★★ 5
Good quality for the price, I’m very happy with this purchase.
Size: Small
They’re slightly smaller than a tennis ball, lightweight, and have a nice bounce. My dog is medium-sized (about 68 lbs) lab mix, and these work great for her.
I’ve been looking for a toy like this for a long time. It’s made of soft rubber/silicone and squeaks with very little pressure, which is perfect for my dog. She loves to gently carry toys around the house and yard, and most squeaky toys require too much force. These are easy for her to squeak and just the right size to carry.
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Reviewed in the United States on March 18, 2026
★★★★★ 5
The best new toy in years! 🧡
Size: Small, Size: Small
I opened the package and took out the peach toy for my 7 pound nine year old Yorkie. Needless to say, the floor is already covered with a dozen other toys. When he touched this toy with his nose, it somehow started spinning around. He backed up and then swatted it with his paw. It rolled about three feet away. He has been playing with ‘peach’ for about 25 minutes nonstop, so I had to interrupt my busy day to write this review. I have not ever seen him love a toy this much. Now, it is squeaking pretty much nonstop, and he is still picking it up and tossing it. It is the perfect size for him. It’s a great deal too, with four similar toys in the package.
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Reviewed in the United States on January 9, 2026
★★★★★ 4
Cute and so much fun!
Size: Small
Great squeak noise!!
Our dog loves to play fetch with them!
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Reviewed in the United States on March 7, 2026
★★★★★ 5
An instant favorite for my one year old pup!
Size: Small, Size: Small
I came across these randomly while looking for presents for my one year old 10lb chi-mix. I gave her one to start with just to make sure it wasn’t flimsy & she wasn’t going to destroy it because she is definitely a chewer. She was instantly OBSESSED! These are now her most treasured squeakies. They’re the perfect size for her too and I’m happy to say they’ve held up well to her pouncing/jumping on them constantly. They’re definitely not quiet but we get an absolute kick out of watching the way she plays with them. If I could give 10 stars I would. Almost two months later and the novelty hasn’t worn off to her. I’ve saved them to my lists just in case we ever need to replace them for any reason. I’m not sure she’ll ever love a toy as much as these
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Reviewed in the United States on January 9, 2026
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