Modeling Thermodynamic Distance, Curvature and Fluctuations

By: Viorel Badescu

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Synopsis: This textbook aimsto briefly outline the main directions in which the geometrization ofthermodynamics has been developed in the last decades. The textbook isaccessible to people trained in thermal sciences but not necessarily withsolid formation in mathematics. For this, in the first chapters a summary of themain mathematical concepts is made. In some sense, this makes thetextbook self-consistent. The rest of the textbook consists of a collection ofresults previously obtained in this young branch of thermodynamics. The manner ofpresentation used throughout the textbook is adapted for ease ofaccess of readers with education in natural and technical sciences.