From Methuen's Monographs on Physical Subjects: This students' monograph explains the use of integral transforms in the solution of the boundary-value problems of mathematical physics. It shows that one technique can be employed whatever the kernel or range of integration of the transform and indicates how the solution of the partial differential equations involved can be reduced almost to a drill. The transforms considered include those of Laplace, Fourier, Hankel and Mellin. Examples in heat conduction, vibrations, elasticity, and hydrodynamics are worked out in detail. There is a chapter on the numerical evaluation of the integrals appearing in the solutions and another chapter shows how the combined use of a transform and Southwell's relaxation method can be of use in three-dimensional problems,
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