Heat Conduction Using Green's Functions
by  J. Beck, K. Cole, A. Haji-Sheikh, and B. Litkouhi, published by Hemisphere, 1992.

This book simplifies and organizes the solution of heat conduction and diffusion problems with the method of Green's functions.  The book contains tables of these functions and related integrals, and was originally intended as a reference volume.  The book is also a treatise on heat conduction from a Green's function perspective. An error list has been compiled and posted for this book.

The second edition will be published in 2010.
Please contact K. Cole if you have any suggetions.