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Description
An Introduction to Linear Algebra"The straight forward clarity of the writing is admirable." American Mathematical Monthly. This work provides an elementary and easily readable account of linear algebra, in which the exposition is sufficiently simple to make it equally useful to readers whose principal interests lie in the fields of physics or technology. The account is self contained, and the reader is not assumed to have any previous knowledge of linear algebra. Although its
"The straight-forward clarity of the writing is admirable." -- American Mathematical Monthly.This work provides an elementary and easily readable account of linear algebra, in which the exposition is sufficiently simple to make it equally useful to readers whose principal interests lie in the fields of physics or technology. The account is self-contained, and the reader is not assumed to have any previous knowledge of linear algebra. Although its accessibility makes it suitable for non-mathematicians, Professor Mirsky's book is nevertheless a systematic and rigorous development of the subject.
Part I deals with determinants, vector spaces, matrices, linear equations, and the representation of linear operators by matrices. Part II begins with the introduction of the characteristic equation and goes on to discuss unitary matrices, linear groups, functions of matrices, and diagonal and triangular canonical forms. Part II is concerned with quadratic forms and related concepts. Applications to geometry are stressed throughout; and such topics as rotation, reduction of quadrics to principal axes, and classification of quadrics are treated in some detail. An account of most of the elementary inequalities arising in the theory of matrices is also included. Among the most valuable features of the book are the numerous examples and problems at the end of each chapter, carefully selected to clarify points made in the text.
Binding Type: Paperback
Publisher: Dover Publications
Published: 11/30/2011
ISBN: 9780486664347
Pages: 462
Weight: 1.06lbs
Size: 8.51h x 5.46w x 0.90d
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4.5 ★★★★★
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Product Reviews
★★★★★ 5
Rottweiler approved
Color: Purple
My Rottweiler puppies love these bones. I feel good about letting them play with these and not worry they will break or that they can choke because they are durable and a good size and weight. I like the variety and can put peanut butter on the crevices if I want to give as a treat. Worth the money!
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Reviewed in the United States on June 7, 2026
★★★★★ 5
Durable, lightweight, dogs love em
Color: Purple
The most durable, perfect weight,all 3 dogs have the best time chewing them. Easy to unpack and carry around. All 3 dogs enjoy, this is my 2nd time purchasing in a year, they last about 6 months per purchase time
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Reviewed in the United States on May 17, 2026
★★★★★ 5
Perfect for the aggressive chewer
Color: Purple
I purchased these because I have a 1-year-old black lab redbone coonhound mix who destroys every toy and Bone. I have gotten him in a short amount of time... These things have outstanded this little guy and he is still enjoying them!
Keeps him occupied and satisfies his chewing for hours!
And he leaves my shoes alone haha
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Reviewed in the United States on June 10, 2026
★★★★★ 5
Best for all chewers!
Color: Purple, Color: Purple
I purchased in February and waited until ive had them long enough to make a justified review. I have a very VERY aggressive chewer. He destroys every toy he gets within minutes or a hour. We didnt expect much out of these but why not. Let me tell you... they only have small teeth dents. No cracks, no breaks, no chunks missing, none in the trash, no bleeding gums... nothing. My chewer loves them. First day he just stared at them like they were alien objects but after we played fetch a few times it was on!! Now all three dogs chewer on them. I would say im purchasing again but I dont know when that will be lol I highly recommend to anyone!! Photo is taken today 6/4/26
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Reviewed in the United States on June 4, 2026
★★★★★ 4
My pit bull loves them.
Color: Purple
I picked up the Frienhund Tough Dog Toys 3-pack for my large, heavy chewer, and overall I’m pretty impressed. Right out of the box, the toys feel solid and well-made—definitely more durable than your average chew toy. My dog usually destroys new toys within a day or two, but these have held up significantly longer, which is a big win.
They also do a great job of keeping him occupied. The shapes and textures seem to keep his interest, and I’ve noticed less destructive chewing on furniture since introducing these. That alone makes them worth it.
The only reason I’m giving 4 instead of 5 stars is that while they’re very tough, they’re not completely “indestructible” (despite the claim). After a couple of weeks of heavy use, there are some visible wear marks. Still, compared to most other toys we’ve tried, these last much longer.
Overall, a great option for medium to large dogs that are aggressive chewers—durable, engaging, and a solid value for a 3-pack.
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Reviewed in the United States on April 17, 2026
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