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Description
Mathematical Foundations of Statistical MechanicsThe translation of this important book brings to the English speaking mathematician and mathematical physicist a thoroughly up to date introduction to statistical mechanics. It offers a precise and mathematically rigorous formulation of the problems of statistical mechanics, as opposed to the non rigorous discussion presented in most other works. It provides analytical tools needed to replace many of the cumbersome concepts and devices commonly used
The translation of this important book brings to the English-speaking mathematician and mathematical physicist a thoroughly up-to-date introduction to statistical mechanics.It offers a precise and mathematically rigorous formulation of the problems of statistical mechanics, as opposed to the non-rigorous discussion presented in most other works. It provides analytical tools needed to replace many of the cumbersome concepts and devices commonly used for establishing basic formulae, and it furnishes the mathematician with a logical step-by-step introduction, which will enable him to master the elements of statistical mechanics in the shortest possible time.
After a historical sketch, the author discusses the geometry and kinematics of the phase space, with the theorems of Liouville and Birkhoff; the ergodic problem (in the sense of replacing time averages by phase averages); the theory of probability; central limit theorem; ideal monatomic gas; foundation of thermodynamics, and dispersion and distribution of sum functions.
"An excellent introduction to the difficult and important discipline of Statistical Mechanics. It is clear, concise, and rigorous. There is a very good chapter on the ergodic theorem (with a complete proof ) and . . . a highly lucid chapter on statistical foundations of thermodynamics . . . useful to teachers . . . and to mathematicians." ― M. Kac, Quarterly of Applied Mathematics.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1949
ISBN: 9780486601472
Pages: 206
Weight: 0.48lbs
Size: 8.25h x 5.38w x 0.41d
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4.0 ★★★★★
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Product Reviews
★★★★★ 3
Not durable for a large breed
Color: GREEN, Size: 14 inch (Pack of 1), Style: FROG, Color: GREEN, Size: 14 inch (Pack of 1), Style: FROG
I received this toy about 2hrs ago. My dog tore a hole in it already. Not made for Rottweiler/American Bulldog breed, apparently. 🙂
Love that there isn't stuffing though, at least she's not making a mess, lol!
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Reviewed in the United States on March 22, 2025
★★★★★ 5
My dog loves it.
Color: GREEN, Size: 14 inch (Pack of 1), Style: FROG
I thought I was going to have to return this dog toy because my dog was afraid of the toy, especially the squeaker. But after a while, he finally did start playing with it and now he won’t let the other dogs touch his frog. It’s so bad that if they do touch it, he rips it out or their mouth, jumps up into a chair, and lays on top of it so they can’t get it. He still doesn’t like the squeaker if it’s down in front of him, but if I’m in another room, the squeaker makes him come running. He loves the squirrel I got him too. But the material of the frog seems really durable.
The part I like the most of that it’s like a puppet and you can stick your hand in it or an empty bottle of water and then Velcro it shut. If your dog doesn’t like the squeaker, there is a pouch in the mouth of the frog that you can access through this velcroed area and cut it out.
Definitely a must have if you have a tough chewer.
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Reviewed in the United States on November 3, 2020
★★★★★ 1
Don't waste your money!
Color: GREEN, Size: 14 inch (Pack of 1), Style: FROG, Color: GREEN, Size: 14 inch (Pack of 1), Style: FROG
Do NOT buy unless you like throwing away your money! This Ethical Pets 54093 Skinneeez Frog seemed like a great dog toy, but my Malti Poo destroyed it within TEN minutes! He actually ate the material and half of the squeaker before I found the other half. Guess we’ll be seeing that outside in a few days! This toy is listed as “Durable Dog Toy”, but it is NOT. I’ve got dog toys from the dollar store that lasted for months! We will not be buying nor recommending this product again. Don’t waste your money!
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Reviewed in the United States on March 12, 2024
★★★★★ 5
Great toy
Color: Grey
My girl loves this toy. She has a lot of toys but this is her favorite. She is a 26 lb mini golden and we have had it over a year. It is just now starting to show wear. Once it is completely worn out I will buy it again!
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Reviewed in the United States on February 20, 2025
★★★★★ 5
Durable product.
Color: Grey
My dog loves it. Very durable.
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Reviewed in the United States on April 12, 2026
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