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Geometric Mechanics (Part I),2edFeatured in the recommended literature list for the International Society of Nonlinear Mathematical Physics: https: isnmp. de Book Reviews and Recommendations See also GEOMETRIC MECHANICS Part II: Rotating, Translating and Rolling (2nd Edition) This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. It treats the fundamental
Featured in the recommended literature list for the International Society of Nonlinear Mathematical Physics: https: //isnmp.de/Book-Reviews-and-Recommendations/See also GEOMETRIC MECHANICS -- Part II: Rotating, Translating and Rolling (2nd Edition) This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. It treats the fundamental problems of dynamical systems from the viewpoint of Lie group symmetry in variational principles. The only prerequisites are linear algebra, calculus and some familiarity with Hamilton's principle and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.The ideas and concepts of geometric mechanics are explained in the context of explicit examples. Through these examples, the student develops skills in performing computational manipulations, starting from Fermat's principle, working through the theory of differential forms on manifolds and transferring these ideas to the applications of reduction by symmetry to reveal Lie-Poisson Hamiltonian formulations and momentum maps in physical applications.The many Exercises and Worked Answers in the text enable the student to grasp the essential aspects of the subject. In addition, the modern language and application of differential forms is explained in the context of geometric mechanics, so that the importance of Lie derivatives and their flows is clear. All theorems are stated and proved explicitly.The organisation of the first edition has been preserved in the second edition. However, the substance of the text has been rewritten throughout to improve the flow and to enrich the development of the material. In particular, the role of Noether's theorem about the implications of Lie group symmetries for conservation laws of dynamical systems has been emphasised throughout, with many applications.Shipping Notes
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4.3 ★★★★★
Based on 28 reviews
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Product Reviews
★★★★★ 5
Excellent product, but keep it away from chewers.
Style: 2.5" Ball
This is a very strong and effective launcher and could have lasted a very long time had my 9 month old not chewed the ball claw end off. I will buy again.
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Reviewed in the United States on February 10, 2026
★★★★★ 5
Our Dog Loves This Ball Thrower So Much
Style: 2.5" Ball
Works excellent for dogs that like to fetch! Our family dog loves this toy. He will bark and jump as soon as he sees us pick it up. The dog next door to us gets excited when he sees us play with our dog with this dog ball thrower. Its that good for dogs who love to fetch and run. Perfect for the young and elderly to play fetch with a pet dog. If you have back or shoulder problems works very well. You don't have to bend down and pick up a slobbery ball. Nope you use this to pick up, grip up and grab the ball. Wish every dog could have this ball thrower in their lives. It has changed the way we play fetch with our dog.
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Reviewed in the United States on August 5, 2025
★★★★★ 4
Good Pet Ball Launcher
Style: 2.5" Ball
I bought to throw balls for my Aussie. He does not like to tennis ball that came with it and chewed it up in less than one play time. The launcher seems to be of good quality and works well. We bought different balls made for launchers that work well.
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Reviewed in the United States on October 24, 2025
★★★★★ 5
Must-Have for Dog Owners (Whow have dogs that like to fetch)
Style: 2.5" Ball
Soon as this launcher arrived I went outside with the dogs to try it out. Long story short: This is a great fetch toy. I am able to launch the ball pretty far with little to no effort, and picking the ball back up is as easy as grabbing it with my own hand.
The toy itself is very sturdy, so much so this is the only fetch-toy I'll ever have to buy. Considering how durable it is, I don't think I'll ever need to buy a replacement. I believe Chuck-It is the most popular option, and because this is the first fetch-toy I purchased, I can't really compare it to anything else. A few outlier reviews said the ball was difficult to launch, and I have to disagree. It has been so easy to use I can't possibly see what the problem is. And no, upper body strength is not a factor as I virtually have none. People can get great distance (Half the length of a football field by my eye) in one simple, easy motion. And if other products can launch the ball farther, so what? How far is far enough? Is your dog going to throw a fit because it went 40 meters instead of 50? No. They will not. For anyone upset this toy doesn't launch far enough, ask yourself this: Is the toy for their dog? Or the human who bought it?
The bottom line is this: It feels like it's built to last, it's inexpensive, and it does what it is supposed to do. So long as a toy is "good enough" I don't see the point in splitting hairs and trying to determine which fetch toy is the absolute best.
Saying it's good enough is a bit misleading though. I can't imagine how a dog toy like this could be any better.
It's a must-have for any dog owner. Unfortunately, only one of my pups likes to fetch...
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Reviewed in the United States on January 6, 2020
★★★★★ 5
Works Like a Charm!
Style: 2.5" Ball
WoW!! This thing is pretty cool! It can pick the ball up off the ground - and with little effort - It can throw the ball 3X Higher and Further than I ever could! It wont hurt my elbow or wrist ( way better than before when I was wearing myself out ) I don’t know how I ever got along without it!! It's a must have if your dog loves playing ball. :-)
Update: I've had this For 7 Months Now- it looks and works Great just like the day I bought it- Thumbs up!
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Reviewed in the United States on September 29, 2024