Mathematical Foundations of Thermodynamics details the core concepts of the mathematical principles employed in thermodynamics. The book discusses the topics in a way that physical meanings are assigned to the theoretical terms. The coverage of the text includes the mechanical systems and adiabatic processes; topological considerations; and equilibrium states and potentials. The book also covers Galilean thermodynamics; symmetry in thermodynamics; and special relativistic thermodynamics. The book will be of great interest to practitioners and researchers of disciplines that deal with thermodynamics, such as physics, engineering, and chemistry.
Research in the past thirty years on the foundations of thermodynamics has led not only to a better understanding of the early developments of the subject but also to formulations...
A First Course in the Mathematical Foundations of Thermodynamics
This brief provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866-1871).
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions.
References [22]—[27] provide background material for this text in the areas of mathematical analysis, calorimetry, ... On thermodynamics, strain impulses, and viscoelasticity. ... A mathematical foundation for thermodynamics.
Full facsimile of the original edition, not reproduced with Optical Recognition Software. The translation of this important work brings to the American mathematician and physicist a useful work of statistical mechanics.
Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.
This book offers an original perspective on thermodynamic science and history based on the three approaches of a practicing engineer, academician, and historian.
Bibliographical Notes The procedure of mathematical justification of the thermodynamic limit transition was sketched ... the fundamentals of mathematical description of states of infinite equilibrium systems in statistical mechanics .
This text shows that insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics.