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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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4.4 ★★★★★
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Product Reviews
★★★★★ 5
6 years and still going
Color: Blackout, Color: Blackout
Owned for 6 years and still going strong. Worn daily, including showers. The only time I take it off is to sleep. The face is scratched up and some buttons worn smooth (I wear it on the inside of my wrist). A few tiny cracks are beginning to form on one of the wristband pieces. Replaced the battery after about 3 years. It has three alarms and I use them regularly. You can choose to set each alarm for daily, weekdays, or weekends. I also use the timer a lot. Indiglo gets used every morning and many evenings. You can disable modes that you never use, so you only see what you want. I never use chronograph, so I have that disabled. Incredible watch.
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Reviewed in the United States on May 11, 2026
★★★★★ 5
The watch of our era
Color: Blackout
Bought this ‘used’ but looks like only the box had some ‘damage’ but the watch was perfectly brand new. I’ve been wearing a timex Ironman watch since my tenth birthday. I’ve served in the Marine corps and wore one while on tour. I’ve worn them snorkeling and diving. I’m a mechanic and have worn it on my belt loop while working, and depending what I’m doing I’ll leave it on. I wear it in the shower, the pool, beach, kayaking, skydiving, mudding, surfing, fishing, shooting, and while relaxing in my recliner. I’ve only had one battery die, and it was easily replaced.
This is the watch of our era. Stop reading this review and buy one!
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Reviewed in the United States on April 27, 2026
★★★★★ 3
Very dim
Color: Black/Yellow Accent
This was a gift for our son. The watch functions well, but I returned it because the screen was very hard to read.
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Reviewed in the United States on April 16, 2026
★★★★★ 5
Good watch
Color: G5885-silver-red
Great watch for the money, keeps better time than my ROLEX. Also very attractive.
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Reviewed in the United States on April 23, 2026
★★★★★ 5
Proud of my watch.
Color: G5885-silver-red, Color: G5885-silver-red
I purchased two of these and I am pleased so far.I was able to resize the band without any problems.They look good and I’ve received a few unsolicited compliments.IMHO they are well worth the 35 bucks or so I spent on them.Heck two of my buddies wearing r.l.x’s noticed them right off the bat.I just smiled and said thank you very much.
P.s.I could buy and sell my two friends many times over so didn’t bother me when they ask me the price.Proud of the good watch for the money.
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Reviewed in the United States on November 24, 2025