Mathematical Modelling of Physical Systems

 
 
Springer (Verlag)
  • erschienen am 3. Januar 2019
 
  • Buch
  • |
  • Softcover
  • |
  • 524 Seiten
978-3-030-06912-4 (ISBN)
 
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.
Paperback
Softcover reprint of the original 1st ed. 2018
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 2 s/w Abbildungen
  • |
  • 2 Illustrations, black and white; XVII, 505 p. 2 illus.
  • Höhe: 235 mm
  • |
  • Breite: 155 mm
  • |
  • Dicke: 28 mm
  • 785 gr
978-3-030-06912-4 (9783030069124)
10.1007/978-3-319-94758-7
weitere Ausgaben werden ermittelt

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).

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