Vector Fields with Applications to Thermodynamics and Irreversibility (Paperback, 1)

1. Classes of Equations and Similarity Solutions. 
1.1. Hierarchy of Partial Differential Equations.  1.2 General Integral and Arbitrary Functions.  1.3. Unforced P.D.E. with First-Order Derivatives.  1.4. Quasi-Linear and Forced First-Order P.D.E.s.  1.5. Differentials of First-Degree in Three Variables.  1.6. P.D.E.s with Constant Coefficients and All Derivatives of Same Order.  1.7. Harmonic and Biharmonic Functions on the Plane.  1.8.  Forced Linear P.D.E. with Derivatives of Constant Order.  1.9. Forced Harmonic and Biharmonic Equations.  1.10. Conclusion. 

2. Thermodynamics and Irreversibility. 
2.1. Work, Heat, Entropy and Temperature.  2.2. Functions of State and Constitutive Properties.  2.3. Three Principles and Four Processes of Thermodynamics. 2.4. Entropy Production and Diffusive Properties.