This classic account describes the known exact solutions of problems of heat flow, with detailed discussion
of all the most important boundary value problems.
Table of Contents
1. General Theory
2. Linear Flow of Heat: The Infinite and Semi-infinite Solid
3. Linear Flow of Heat in the Solid Bounded by Two Parallel Lines
4. Linear Flow of Heat in the Rod
5. Flow of Heat in a Rectangle
6. The Flow of Heat in a Rectangle-Paralleliped
7. The Flow of Heat in an Infinite Circular Cylinder
8. The Flow of Heat in Regions Bounded by Surfaces of the Cylindrical Coordinate System
9. The Flow of Heat in a Sphere and Cone
10. The Use of Sources and Sinks in Cases of Variable Temperature
11. Change of State
12. The Laplace Transformation: Problems in Linear Flow
13. The Laplace Transformation: Problems on the Cylinder and Sphere
14. The Use of Green's Functions in the Solution of the Equation of Conduction
15. Further Applications of the Laplace Transformation
16. Steady Temperature
17. Intergral Transforms
18. Numerical Methods