Seeking a Rigorous Treatment of Statistical Thermodynamics

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A user seeks a mathematically rigorous treatment of statistical thermodynamics, expressing dissatisfaction with Bowley and Sanchez's book. They appreciate Kardar's works and recommend his lecture notes available online, highlighting the connection between information entropy and probability distributions. Other users suggest various books, emphasizing the need for a deeper understanding of the subject. The discussion centers on finding resources that provide a solid theoretical foundation in statistical thermodynamics. Overall, Kardar's materials are particularly well-received for their clarity and depth.
jojo12345
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Hi all,

I'm looking for a rigorous (in a mathematical sense) treatment of statistical thermodynamics. I'm at the tail end of a class on stat thermo that used the book by Bowley and Sanchez. This book is not what I'm looking for. Does anyone have any suggestions?
 
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Kardar's books are superb. His notes are also available at http://ocw.mit.edu/OcwWeb/Physics/8-333Fall-2007/CourseHome/index.htm
 
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Thanks for the suggestions. The first of the four that have been suggested that I took a look at was Kardar (the ocw lecture notes, to be precise). I really like the connection he makes early on between information entropy and estimating probability distributions.
 
Im currently reading mathematics for physicists by Philippe Dennery and André Krzywicki, and I’m understanding most concepts however I think it would be better for me to get a book on complex analysis or calculus to better understand it so I’m not left looking at an equation for an hour trying to figure out what it means. So here comes the split, do I get a complex analysis book? Or a calculus book? I might be able to Borrow a calculus textbook from my math teacher study that for a bit and...

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