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Mathematical Modelling of Physical Systems

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Mathematical Modelling of Physical Systems

Format

Hardback

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Mathematical Modelling of Physical Systems by Michel Cessenat
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Description

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.

Author Biography

Michel Cessenat is a mathematician at the Societe de Mathematiques Appliquees 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 Methodes Probabilistes pour les equations 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).
Release date NZ
September 21st, 2018
Country of Publication
Switzerland
Edition
1st ed. 2018
Illustrations
2 Illustrations, black and white; XVII, 505 p. 2 illus.
Imprint
Springer International Publishing AG
Pages
505
ISBN-13
9783319947570
Product ID
28125172

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