부산대학교 도서관

This is a well presented and helpful textbook at the advanced undergraduateor perhaps graduate level.\parIn Chapter 1, the boundary value problems of mathematical physics arepresented.\parIn Chapter 2 the author introduces generalized functions and their Fouriertransforms. Chapter 3 is devoted to the Cauchy problem; the retardedpotential, the wave equation and the heat equation are treated insuccession. Chapter 4 deals with integral equations. The Fredholm andHilbert-Schmidt theorems are studied. This chapter is, in the reviewer'sopinion, a welcome addition to the contents of many similar textbooks.Chapter 5 is devoted to boundary value problems for elliptic equations.This includes the study of eigenvalue problems, the Sturm-Liouville theory,harmonic functions, the Newtonian potential, the Laplace and Poissonequations in space, Green's functions and the Dirichlet problem, sphericalfunctions, the two-dimensional Laplace equation and the Helmholtz equation.\parFinally, in Chapter 6 the author examines mixed problems of hyperbolic andparabolic types.