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Description
Dynamical SystemsCelebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one semester introduction to the subject for his classes at Harvard University. Its wide ranging treatment covers one dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for
Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises."Even though there are many dynamical systems books on the market, this book is bound to become a classic. The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank." -- Oliver Knill, PhD, Preceptor of Mathematics, Harvard University.
Binding Type: Paperback
Publisher: Dover Publications
Published: 07/21/2010
ISBN: 9780486477053
Pages: 265
Weight: 0.75lbs
Size: 9.10h x 6.10w x 0.60d
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★★★★★ 5
Perfect for little dogs.
Size: Small
Our dog is OBSESSED with these little balls. Perfect fit for him at a great price. He likes to chew on them and so far they have held up great and don’t show signs of wear.
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Reviewed in the United States on April 5, 2026
★★★★★ 5
Squeaky rubber bouncing balls for smaller dogs
Size: Small
Great for smaller dogs, mine loves playing with them in the pool. Excellent quality for the price and definitely would recommend!
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Reviewed in the United States on May 28, 2026
★★★★★ 5
Dog love these balls
Size: Small
Dog loves these balls. They have held put through playing and chewing. Recommend for all puppies that love chewing.
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Reviewed in the United States on May 24, 2026
★★★★★ 5
My dogs favorite toy
Size: Small
My dog loves these! She has a small mouth and not many balls fit in her mouth when we play fetch. The only thing is that she can't make the balls squeak on her own, it does take pressure. However, maybe that's a plus if you don't wanna listen to squeezing all day haha. They are durable, very bouncy even in the dirt. Great price fun toy!
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Reviewed in the United States on May 16, 2026
★★★★★ 4
My dog loves them...but
Size: Small
The ball is firm, durable and bounces well, but the squeaker is a disappointment. My 16 lb chihuahua doxie mix is obsessed with squeaky toys. I bought the small size which is a good fit. These balls are a bit firm and hard to squeak but she is still able to squeak them endlessly. The squeaker only lasts a couple of weeks then it's just a ball that she ignores.
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Reviewed in the United States on May 11, 2026