Teaching:

Professor Thomas has taught a wide variety of mathematics courses, including real analysis, functional analysis, nonlinear functional analysis, partial differential equations, dynamical systems, finite difference methods and finite element methods for the numerical solution of partial differential equations, computational fluid dynamics, vector algorithms and numerical methods for conservation laws.

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Real Analysis   Advanced Calculus of One Variable   Mathematics for Scientists and Engineers   Discrete Models of Physical Systems

Research:

Professor Thomas' has conducted research in the areas of computational water waves, fixed point theory, bifurcation theory, mesh refinement for finite difference schemes and the numerical simulation of the Taylor-Couette problem. Reseach and Publications

Books:

Numerical Partial Differential Equations: Finite Difference Methods     Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations     Advanced Calculus of One Variable

Springer-Verlag, New York, 1995 (Corrected second printing, 1998) Table of Contents Author's Review   Springer-Verlag, New York, 1999 Table of Contents Author's Review   Manuscript Availble for use: How to Download the Text Author's Review