Badescu V. Modeling Thermodynamic Distance, Curvature and Fluctuations: A Geometric Approach

Springer International Publishing, Switzerland, 2016. – 207 p. – ISBN10: 3319337882This textbook aims to briefly outline the main directions in which the geometrization of thermodynamics has been developed in the last decades. The textbook is accessible to people trained in thermal sciences but not
necessarily with solid formation in mathematics. For this, in the first chapters a summary of the main mathematical concepts is made. In some sense, this makes the textbook self-consistent. The rest of the textbook consists of
a collection of results previously obtained in this young branch of thermodynamics.
The manner of presentation used throughout the textbook is adapted for ease of access of readers with education in natural and technical sciences.
Topics
Complexity
Engineering Thermodynamics, Heat and Mass Transfer
ThermodynamicsMathematical ToolsAlgebraic Structures. Spaces. Reference Frames
Vector Calculus and Differential Forms
Elements of Riemann Geometry
Applications of Geometric Methods in Thermodynamics
Equilibrium Thermodynamics
Thermodynamics as a Contact Geometry Structure
Thermodynamic Distance
Geometrization of Thermodynamic Fluctuations
Thermodynamic Curvature. Correlation. Stability