Reference Books

Below are some references on the various topics covered in the class. The students don't need to consult these references. However, if the student wants to learn beyond what is covered in the class, the following references could be good starting points.

Theory of Interacting Continua

Theory of Porous Media: Highlights in Historical Development and Current State, by R. de Boer
- - Publisher: Springer (2000)
  - ISBN: 354065982X
Theory of Mixtures, by R. M. Bowen in Continuum Physics (Vol III: Mixtures and EM Field Theories edited by A. C. Eringen)
- - Publisher: Academic Press (1976)
  - ISBN: 0122408039

Continuum Mechanics

A First Course in Continuum Mechanics, O. Gonzalez, and A. M. Stuart
- - Publisher: Cambridge Texts in Applied Mechanics (2008)
  - ISBN: 979-0-521-71424-2
Continuum Mechanics: Concise Theory and Problems, by P. Chadwick [My pick for students]
- - Publisher: Dover Publications
  - ISBN: 0486401804
An Introduction to Continuum Mechanics, by M. E. Gurtin
- - Publisher: Academic Press (1981)
  - ISBN: 052140598X
The Mechanics and Thermodynamics of Continua, by M. E. Gurtin, E. Fried, and L. Anand
- - Publisher: Cambridge University Press (2010)
  - ISBN: 052140598X
Continuum Mechanics, by W. Jaunzemis
- - Publisher: The Macmillan Company (1967)
  - ISBN: 0023604603

Continuum Thermomechanics

Continuum Mechanics and Thermodynamics, E. B. Tadmor, R. E. Miller, and R. S. Elliott [My pick for students]
- - Publisher: Cambridge University Press (2012)
  - ISBN: 979-1-107-00826-7
An Introduction to Thermomechanics, by H. Ziegler

- - Publisher: North Holland (1983)
  - ISBN: 0444568379

The Thermomechanics of Nonlinear Irreversible Behaviors: An Introduction, by G. A. Maugin
- - Publisher: World Scientific Series on Nonlinear Science (1999)
  - ISBN: 9810233752
Rational Thermodynamics, by C. Truesdell
- - Publisher: Springer; 2nd edition (2011)
  - ISBN: 1461297370

Finite Element Method

The Finite Element Method: Linear Statics and Dynamics Finite Element Analysis, by T. J. R. Hughes
- - Publisher: Dover Publications (2000)
  - ISBN: 0486411818
An Introduction to the Finite Element Method, by J. N. Reddy
- - Publisher: McGraw-Hill Science/Engineering/Math; 3rd edition (2005)
  - ISBN: 0072466855
Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics, by D. Braess
- - Publisher: Cambridge University Press (2007)
  - ISBN: 0521705185

Partial Differential Equations

Partial Differential Equations: An Introduction, W. A. Strauss [Very much accessible to engineers]
- - Publisher: Wiley; 2nd edition (2007)
  - ISBN: 0470054565
Partial Differential Equations for Scientists and Engineers, S. J. Farlow [Very much accessible to engineers]
- - Publisher: Dover Publications (1993)
  - ISBN: 048667620X
Partial Differential Equations, L. Evans [Classic, Graduate text in Math and quite rigorous in treatment]
- - Publisher: American Mathematical Society (1998)
  - ISBN: 0821807722

Linear Algebra

Introduction to Linear Algebra, by G. Strang [My pick for students]
- - Publisher: Wellesley Cambridge Press (2009)
  - ISBN: 0980232716
Linear Algebra: An Introductory Approach, by C. W. Curtis
- - Publisher: Springer (Undergraduate Texts in Mathematics); (1984)
  - ISBN: 0387909923
Linear Algebra Done Right, by S. Axler
- - Publisher: Springer (Undergraduate Texts in Mathematics); Second Edition; (1997)
  - ISBN: 0387982590
Finite Dimensional Vector Spaces, by P. R. Halmos [The book is proofs-oriented]
- - Publisher: Springer (1993)
  - ISBN: 0387900934