The aim of this book is to comment on, and clarify, the
mathematical aspects of the theory of thermodynamics. The standard
presentations of the subject are often beset by a number of
obscurities associated with the words "state," "reversible,"
"irreversible," and "quasi-static." This book is written in the
belief that such obscurities are best removed not by the formal
axiomatization of thermodynamics, but by setting the theory in the
wider context of a genuine field theory which incorporates the
effects of heat conduction and intertia, and proving appropriate
results about the governing differential equations of this field
theory. Even in the simplest one-dimensional case it is a
nontrivial task to carry through the details of this program, and
many challenging problems remain open.
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