As a visual mnemonic tool, the mnemonic sketch presented in this paper not only conveniently represent 16 basic relations in thermodynamics, but reflect concepts and laws such as natural independent variables and equilibrium criteria. The procedure of general method for reduction of thermodynamic partial derivatives can surly, rapidly , and straightforwardly transform any given partial derivative into a expression in terms of P, V, T, S, Cp, α, and β.