Includes references and indexes.

General theory -- Linear flow of heat: the infinite and semi-infinite solid -- Linear flow of heat in the solid bounded by two parallel planes -- Linear flow of heat in the rod -- Flow of heat in a rectangle -- The flow of heat in a rectangular parallelepiped -- The flow of heat in an infinite circular cylinder -- The flow of heat in regions bounded by surfaces of the cylindrical coordinate system -- The flow of heat in a sphere and cone -- The use of sources and sinks in cases of variable temperature -- Change of state -- The Laplace transformation: problems in linear flow -- The Laplace transformation: problems on the cylinder and sphere -- The use of Green's functions in the solution of the equation of conduction -- Further applications of the Laplace transformation -- Steady temperature -- Integral transforms -- Numerical methods.