After a few chapters introducing the first and second laws of thermodynamics, Adkins starts looking at the applications of the subject, such as the behaviour of gases, the thermodynamics of electric cells, and piezoelectricity. There are also chapters looking at irreversible changes and at phase changes. There is plenty of material on low temperature thermodynamics, including the third law.
A book like this is bound to be mathematical, but it doesn't get too abstract and should present few problems to a science undergraduate. There are also plenty of diagrams to assist in understanding.