Comprehensive and thorough, this monograph emphasizes the main role
differential geometry and convex analysis play in the understanding
of physical, chemical, and mechanical notions. Central focus is
placed on specifying the agreement between the functional framework
and its physical necessity and on making clear the intrinsic
character of physical elements, independent from specific charts or
frames. The book is divided into four sections, covering
thermostructure, classical mechanics, fluid mechanics modelling,
and behavior laws. An extensive appendix provides notations and
definitions as well as brief explanation of integral manifolds,
symplectic structure, and contact structure. Plenty of examples are
provided throughout the book, and reviews of basic principles in
differential geometry and convex analysis are presented as needed.
This book is a useful resource for graduate students and
researchers in the field.
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