James Maxwell was one of the most prolific mathematicians of his time. He made huge leaps in applied mathematics with his creation of four differential equations to describe the relationships of electricity and magnetism. These equations form the basis for our wireless technologies. Maxwell is known first and foremost as a physicist, yet it is his application of mathematical equations to explain complicated physical events which has helped define the universe as we understand it …showed first 75 words of 1797 total…

…showed last 75 words of 1797 total…we obtain, (36) Equation 36 is the equation that was written down without proof at the time we were discussing the Joule expansion. The other version of thermodynamic equation of state, based on H instead of U, will be left as an exercise for the reader. Summary We now have four interesting and useful derivatives of entropy, There are two other derivatives of entropy which might prove useful, (37) The other derivative, will be left to the reader