Authors:
Provides a comprehensive resource for graduate students and researchers in classical thermodynamics and mechanics
Offers a well-balanced mathematical analysis of modelling physical systems
Summarizes basic principles in differential geometry and convex analysis as needed
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
“The book is not only a useful resource for researchers in applied mathematics, but can also be used as a demanding textbook for graduate students with a solid knowledge in differential geometry and functional analysis.” (Theophanes Grammenos, Mathematical Reviews, July, 2019)
Authors and Affiliations
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Institut Henri Poincaré, Société de Mathématiques Appliquées et Industrielles, Paris Cedex 05, Paris, France
Michel Cessenat
About the author
Michel Cessenat is a mathematician at the Société de Mathématiques Appliquées et Industrielles and a former researcher at Center for Atomic Energy, France. He is the author of Mathematical Methods in Electromagnetism: Linear Theory and Applications (World Scientific, 1996) and a co-author of Méthodes Probabilistes pour les équations de la physique (Eyrolles, 1989). He has also made contributions to the work presented in the six-volume set Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray and Jacques-Louis Lions (Springer, 2000).
Bibliographic Information
Book Title: Mathematical Modelling of Physical Systems
Authors: Michel Cessenat
DOI: https://doi.org/10.1007/978-3-319-94758-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-94757-0Published: 07 November 2018
Softcover ISBN: 978-3-030-06912-4Published: 03 January 2019
eBook ISBN: 978-3-319-94758-7Published: 26 October 2018
Edition Number: 1
Number of Pages: XVII, 505
Number of Illustrations: 2 b/w illustrations