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whyevengothere
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Any thermodynamics book that's somewhat mathematical,but is still for beginners?
Yes ,any good book?Shyan said:I guess you feel things are not firm enough in thermodynamics, specially the second law.Right?
whyevengothere said:Yes ,any good book?
Wikipedia said:Every process occurring in nature proceeds in the sense in which the sum of the entropies of all bodies taking part in the process is increased. In the limit, i.e. for reversible processes, the sum of the entropies remains unchanged
Which provides a geometrical formulation of Thermodynamics using special kinds of manifolds and so makes thermodynamics more mathematical. But at the end, Caratheodory's principle is just an axiom accepted based on observations (in fact based on its equivalence to other statements of the 2nd law) and so is as infirm as Planck's statement.Wikipedia said:In every neighborhood of any state S of an adiabatically enclosed system there are states inaccessible from S
That's not a book on thermodynamics. Its only on entropy and 2nd law. It tries to make 2nd law intuitive through a series of dice games.I've never read the book suggested by Shyan, but after a quick look on amazon it looks like it may be better.
dextercioby said:H. Callen's text is the standard textbook on Thermodynamics. I cannot imagine a better text.
dextercioby said:H. Callen's text is the standard textbook on Thermodynamics. I cannot imagine a better text.
vanhees71 said:I guess, however, this is the wrong forum to discuss about the foundations of thermodynamics, which in my opinion should be taught as statistical physics from the very beginning.
Of course they are. But for physicists. OP is asking for an all mathematical approach to thermodynamics. Something that a mathematician learns without worrying about physical observations and experiments. We should accept that thermodynamics differs from statistical mechanics or quantum mechanics that way.atyy said:Things are firm in thermodynamics.
whyevengothere said:I think what am asking is if wether or not there is a thermodynamics book for the mathematician.
SuperDaniel said:[...]
Thermodynamic (Thermodynamik), Hans Baehr. This one is from Germany, and is excellent. I have it at home in the original language. I do not know if it is edited in the US. My copy is older than me: printed in 1966
Have fun!
"Somewhat Rigorous Thermodynamics" is a term used to describe a level of rigor in the study of thermodynamics that falls between the purely theoretical and the purely practical. It acknowledges that certain simplifications and assumptions must be made in order to apply thermodynamic principles to real-world systems, while also recognizing the importance of accurately representing the underlying physical processes.
Traditional thermodynamics is based on the strict application of mathematical laws and principles, while "Somewhat Rigorous Thermodynamics" takes into account the limitations of these laws and the need for simplification in practical applications. It also places a greater emphasis on understanding the physical mechanisms at work in a system.
One of the main assumptions in "Somewhat Rigorous Thermodynamics" is the concept of thermodynamic equilibrium, which assumes that a system is in a state of balance and that no energy or matter is being transferred. Other assumptions may include idealized behavior of materials and neglecting certain forces or effects that may be present in real systems.
"Somewhat Rigorous Thermodynamics" is often used in engineering and scientific applications to model and predict the behavior of complex systems, such as power plants, engines, and chemical processes. It allows for a more practical and realistic approach to these systems, while still maintaining a high level of accuracy.
While "Somewhat Rigorous Thermodynamics" allows for a more practical approach to real-world systems, it also has its limitations. The assumptions made in this level of rigor may not always accurately represent the behavior of a system, and it may not be suitable for studying highly complex or non-equilibrium systems. Additionally, it may not provide a complete understanding of the underlying physics and may require further refinement or more rigorous methods for accurate predictions.