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Mathematical Modelling of Physical Systems

Authors: Cessenat, Michel

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  • 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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eBook 71,68 €
price for Spain (gross)
  • ISBN 978-3-319-94758-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-319-94757-0
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  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Softcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-030-06912-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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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.

About the authors

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).

Reviews

“This higher level book will certainly be a useful resource for graduate students and researchers in mathematical modeling of physical systems. The book is recommended for university libraries and research establishments.” (K. N. Shukla, zbMATH 1428.80002, 2020)
“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)

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-3-319-94758-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-319-94757-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-030-06912-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modelling of Physical Systems
Authors
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-94758-7
DOI
10.1007/978-3-319-94758-7
Hardcover ISBN
978-3-319-94757-0
Softcover ISBN
978-3-030-06912-4
Edition Number
1
Number of Pages
XVII, 505
Number of Illustrations
2 b/w illustrations
Topics