Presents current topics in applied mathematics such as singular perturbation, nonlinear wave propagation, bifurcation, similarity methods, and the numerical solution of partial differential equations. It emphasizes the interdependency of mathematics and its application to physical phenomena, and is written in a style accessible to readers with a wide range of interests and backgrounds. There is also coverage of scaling and dimensional analysis, calculus of variations, Fourier and transform methods for partial differential equations, and integral equations.
Used for grad level applied math courses; it is clear but certainly expects the reader to keep up while making sharp shifts into mode advanced notation and concepts without exactly the most helpful examples to drive it home. author does provide a solution manual for first couple of chapters on his site but no official student manual for the entire text.