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Mathematical modelling of physical s...

Cessenat, Michel.

Mathematical modelling of physical systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical modelling of physical systemsby Michel Cessenat.
Author:	Cessenat, Michel.
Published:	Cham :Springer International Publishing :2018.
Description:	xvii, 505 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical models.
Online resource:	https://doi.org/10.1007/978-3-319-94758-7
ISBN:	9783319947587$q(electronic bk.)

Mathematical modelling of physical systems
Cessenat, Michel.

Mathematical modelling of physical systems[electronic resource] /by Michel Cessenat. - Cham :Springer International Publishing :2018. - xvii, 505 p. :ill., digital ;24 cm.

1. Thermostructure -- 2. Classical Mechanics -- 3. Fluid mechanics modelling -- 4. Behavior Laws -- 5. Appendix.

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.

ISBN: 9783319947587$q(electronic bk.)

Standard No.: 10.1007/978-3-319-94758-7doiSubjects--Topical Terms:

182479
Mathematical models.

LC Class. No.: QA401 / .C47 2018

Dewey Class. No.: 511.8

Mathematical modelling of physical systems
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245 1 0 $a Mathematical modelling of physical systems $h [electronic resource] / $c by Michel Cessenat.
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505 0 $a 1. Thermostructure -- 2. Classical Mechanics -- 3. Fluid mechanics modelling -- 4. Behavior Laws -- 5. Appendix.
520 $a 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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