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Advanced Linear Algebra: Foundations to Frontiers

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Advanced Linear Algebra: Foundations to FrontiersLinear algebra is one of the fundamental tools for computational and data scientists. "Advanced Linear Algebra: Foundations to Frontiers" (ALAFF) is an alternative to a traditional text for a graduate course on advanced linear algebra for computing. The focus is on numerical linear algebra, the study of how theory, algorithms, and computer arithmetic interact. These materials keep the learner engaged by intertwining text, videos, exercises, and

Linear algebra is one of the fundamental tools for computational and data scientists. "Advanced Linear Algebra: Foundations to Frontiers" (ALAFF) is an alternative to a traditional text for a graduate course on advanced linear algebra for computing. The focus is on numerical linear algebra, the study of how theory, algorithms, and computer arithmetic interact. These materials keep the learner engaged by intertwining text, videos, exercises, and programming activities in consumable chunks. It is the text for the Massive Open Online Course (MOOC) titled "Advanced Linear Algebra; Foundations to Frontiers" offered on edX.org.

This book was authored and published with PreTeXt. An online version can be found at cs.utexas.edu/users/flame/laff/alaff/. We make this print version available to those who prefer a hardcopy. Additional information about this course and other related courses at ulaff.net.

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SKU: 69442550235

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CFM
Lexington, US
★★★★★ 3
Neutral
Size: 4.5"
She chewed it up in less than 10 minutes. This is not for heavy chewers but dogs that like to actually play with their toys it would be great!!! I gave it a 3 because it worked for my other dog who likes to play🤘
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Reviewed in the United States on March 8, 2026
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Mitch
Fort Morgan, US
★★★★★ 5
Our German Sheppard loves these
Size: Medium
These cost a bit more than tennis balls, but they are so much nicer and longer lasting. For starters, they stay cleaner than tennis balls because they’re smooth rubber. Dirt won’t build up on them and if anything does stick, like grass or soil, it falls off once the dog slobber dries. They’re also thick, so they don’t fall apart or blow out like a normal tennis ball does in our dog’s jaws after 30 seconds. Our GS chomps on these like crazy and the only damage they’ve suffered is a crack that developed from the edge of the hole, but the crack is growing very slowly and none of these balls have totally failed yet. The balls do whistle when thrown ant high speed and that may help a dog track and locate it, but I’m not sure. Our neighbors hear the whistling too so it’s far from silent. Lastly the orange ball is easy to locate out in our yard, but the dark blue practically disappears.
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Reviewed in the United States on April 6, 2025
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Casey B
Houston, US
★★★★★ 5
Great for smaller dogs
Size: Small
These two balls are perfect for the smaller mouthed dog that loves to play fetch. These balls are not only super durable (lots of teeth biting), but float in the baby pool we use for our miniature dachshunds. The value here is much better than you’d find anywhere else. The noise, if bitten hard enough, was “low” at best. Easy to spot/find if overthrown. Will definitely buy again once these are in bad repair; so far, so good-love these for my fur babies!
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Reviewed in the United States on October 8, 2024
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E. Schall
West Palm Beach, US
★★★★★ 5
My dogs favorite balls
Size: Medium
These are great for my dog who always has to have a ball in her mouth. Not too hard so I don't have to worry about her teeth. They last for ever. They do lose their shape a little over time (like I said, she always has a ball in her mouth) they become a little oval in shape. They still bounce, she still chases it and she still chews on it so I don't think she notices or cares. I've gotten her a bag full of these over time and I have only seen one that she chewed a chunk out.
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Reviewed in the United States on September 28, 2023
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Kimmie is happy
New York, US
★★★★★ 5
My Dachshunds Love These
Size: Small
These balls are durable, flexible material, highly chewable without being easily destroyed. I stuff them with Milkbone Maro Snacks, which are just the right size to twist into the holes in the ball. My dogs literally get an hour+ chewing and chasing entertainment from these. They chew them, they sometimes 'pop' out of their mouths, go rolling across the floor, dogs chasing them. This satisfies their urge to hunt prey. Dachshunds can easily tear this kind of stuff-it-toy apart. These have lasted for a long time without tearing or shredding. I would NOT recommend them for a dog much larger than a tweenie weenie. They're a bit on the small side and might be swallowed by a larger dog. It would be cool it they also came in a larger size (and probably ball wall thickness also) for the bigger dogs to enjoy. These stuff-it chew balls are better than the kong balls my dogs had before these. Highly recommend them.
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Reviewed in the United States on April 19, 2024

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