Home » Nonfiction » Myron B. Allen » Continuum Mechanics

May 11 , 2010

Continuum Mechanics

The Birthplace of Mathematical Models


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

Download epub

Read also

Sustaining Identity, Recapturing Heritage

Sustaining Identity, Recapturing Heritage examines the complex web of public history, race, cultural identity, and tourism in Luray, Virginia, a rural Southern town. The 'texts' associated with this town's public history_tourist brochures, promotional narratives, historic homes, memorials, and monuments_are devoted to the founding…

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. 
Show more...

How to download book

Buy this book

You can buy this book now only for $71.99. This is the lowest price for this book.

Buy book

Download book free

If you want to download this book for free, please register, approve your account and get one book for free.


After that you may download book «Continuum Mechanics»:

Download Amazon Kindle:


Download ePUB 2: