Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

Continuum Mechanics : The Birthplace of Mathematical Models, EPUB eBook

Continuum Mechanics : The Birthplace of Mathematical Models EPUB

EPUB

Please note: eBooks can only be purchased with a UK issued credit card and all our eBooks (ePub and PDF) are DRM protected.

Description

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
Continuum Mechanics: The Birthplace of Mathematical Models is an ideal textbook for courses on continuum mechanics for upper-undergraduate mathematics majors and graduate students in applied mathematics, mechanical engineering, civil engineering, physics, and geophysics. The book is also an excellent reference for professional mathematicians, physical scientists, and engineers.

Information

Other Formats

Information