Böcker av George Cain

This complete, self-contained book presents many realistic applications beyond the usual model problems. It concentrates on the method of separation of variables for PDEs, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the book includes a number of realistic applications that illustrate th

Shows the power of the separation of variables technique by solving a variety of problems. With a focus on the potential, heat, and wave equations, this book takes a spectral expansion view of the technique and explore it. It includes worked examples that provide guidelines for deciding whether and how to apply the method to various problems.