This introduction to the theory of Sobolev spaces and Hilbert space methods demonstrates the use of these techniques in finite element approximations of linear partial differential equations. 1976 edition.

The "father" of the finite element method, J. T. Oden is Director of the Institute for Computational Engineering & Sciences at the University of Texas at Austin and author of Dover's Finite Elements of Nonlinear Continua. J. N. Reddy is Professor of Engineering at Texas A&M University.