This updated edition of its popular predecessor strikes a balance between the mathematical aspects of the subject and its origin in empirics. It offers, at an elementary level, some of the current topics in applied mathematics such as singular perturbation, nonlinear waves, bifurcation, and the numerical solution of partial differential equations. Features additional sections on the WKB Approximation and asymptotic expansion of integrals along with expanded chapters on Green's Functions and integral equations. Includes Maple programs and examples from biology, chemistry, physics, and engineering.
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.