Continuum Mechanics: The Birthplace of Mathematical Models
Language: English
Published by Wiley, 2015
- Hardcover
- New
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- Title
- Continuum Mechanics: The Birthplace of Mathematical Models
- Author
- Allen III, Myron B.
- Publisher
- Wiley
- Publication year
- 2015
- Condition
- New
- Book Type
- book
- Binding
- hardcover
- Language
- English
- ISBN 10
- 1118909372
- ISBN 13
- 9781118909379
Presents a self-contained introduction to continuum mechanics that illustrates how many of the important partial differential equations of applied mathematics arise from continuum modeling principles
Written as an accessible introduction, Continuum Mechanics: The Birthplace of Mathematical Models provides a comprehensive foundation for mathematical models used in fluid mechanics, solid mechanics, and heat transfer. The book features derivations of commonly used differential equations based on the fundamental continuum mechanical concepts encountered in various fields, such as engineering, physics, and geophysics.
The book begins with geometric, algebraic, and analytical foundations before introducing topics in kinematics. The book then addresses balance laws, constitutive relations, and constitutive theory. Finally, the book presents an approach to multiconstituent continua based on mixture theory to illustrate how phenomena, such as diffusion and porous-media flow, obey continuum-mechanical principles.
Continuum Mechanics: The Birthplace of Mathematical Models features:
- Direct vector and tensor notation to minimize the reliance on particular coordinate systems when presenting the theory
- Terminology that is aligned with standard courses in vector calculus and linear algebra
- The use of Cartesian coordinates in the examples and problems to provide readers with a familiar setting
- Over 200 exercises and problems with hints and solutions in an appendix
- Introductions to constitutive theory and multiconstituent continua, which are distinctive for books at this level
"Synopsis" may belong to another edition of this title.
About the Author
Myron B. Allen, PhD, is Professor of Mathematics at the University of Wyoming, Consulting Editor for Wiley's Pure and Applied Mathematics book series, and past provost and vice president for Academic Affairs. His research interests include numerical analysis, mathematical modeling, and fluid mechanics in porous media.
"About the title" may belong to another edition of this title.
Mispah books
Redhill, Surrey, United Kingdom
AbeBooks seller since April 15, 2021
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