Dimensional Analysis.- Perturbation Methods.- Kinetics.- Diffusion.- Traffic Flow.- Continuum Mechanics: One Spatial Dimension.- Elastic and Viscoelastic Materials.- Continuum Mechanics: Three Spatial Dimensions.- Newtonian Fluids.- Appendices.
Mark Holmes is a Professor at Rensselaer Polytechnic Institute, and is currently the Director of the Center for Modeling, Optimization and Computational Analysis. His research interests involve problems integrating modeling and computational analysis. Professor Holmes has three published books in Springer's Texts in Applied Mathematics series: Introduction to Perturbation Methods, Introduction to the Foundations of Applied Mathematics, and Introduction to Numerical Methods in Differential Equations.