Mathematical Modelling of Physical Systems / Michel Cessenat.

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Mathematical Modelling of Physical Systems / Michel Cessenat.

9783319947587 (electronic book)
3319947583 (electronic book)
9783319947570
3319947575

Cham, Switzerland : Springer, [2018]

English

1 online resource.

10.1007/978-3-319-94

QA401 .C47 2018

511/.8

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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Description based on online resource; title from digital title page (viewed on March 08, 2019).

Print version: 9783319947570

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