-
Recent Posts
Archives
- March 2023
- January 2023
- May 2020
- April 2020
- March 2020
- June 2018
- July 2016
- June 2016
- May 2016
- March 2015
- February 2015
- January 2015
- December 2014
- December 2013
- November 2013
- July 2013
- June 2013
- May 2013
- March 2013
- February 2013
- January 2013
- December 2012
- November 2012
- October 2012
- September 2012
- August 2012
- April 2012
- March 2012
- February 2012
- January 2012
- December 2011
- November 2011
- October 2011
Categories
Meta
Pages
Tag Archives: energy
Kinetic Theory, Entropy and Information Theory
This is really a continuation from the series “Thermodynamics for Mathematicians”. Our discussion then wasn’t quite complete without some justifications of the facts we used from kinetic theory of gases, in particular, we will figure out the constant c in the … Continue reading
Posted in Notes
Tagged energy, entropy, heat, information theory, non-imo, physics, statistical physics, thermodynamics
Leave a comment
Thermodynamics for Mathematicians (IV)
Note: for this installation, we now require multi-variate calculus, specifically partial differentiation. 10. More State Parameters For this section, let’s consider the case of a homogeneous gas, whose state is parametrised by (P, V, N), where N is kept constant for now. … Continue reading
Thermodynamics for Mathematicians (III)
Note: calculus, specifically integration, is essential in this article, though students can possibly just substitute it with summation to achieve the same result. In the previous installation, we defined a temperature scale by looking at the efficiency of a heat … Continue reading
Thermodynamics for Mathematicians (II)
We continue our discussion of thermodynamics. Warning: some of the examples will involve calculus and a bit of (ordinary) differential equations. 3. Work Done by/on the System A system can do work, e. g. when a gas expands and pushes against … Continue reading
Thermodynamics for Mathematicians (I)
“Every mathematician knows it is impossible to understand an elementary course in thermodynamics.” – V. I. Arnold. The following is the culmination of at least three attempts to understand thermodynamics at various times during the last two years. Why’s it … Continue reading
Mathematics and Such 