This classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems.
References
x
General Theory
1
(49)
Linear Flow of Heat: The Infinite and Semi-infinite Solid
50
(42)
Linear Flow of Heat in the Solid Bounded by Two Parallel Planes
92
(41)
Linear Flow of Heat in the ROD
133
(29)
Flow of Heat in a Rectangle
162
(14)
The Flow of Heat in a Rectangular Parallel-epiped
176
(12)
The Flow of Heat in an Infinite Circular Cylinder
188
(26)
The Flow of Heat in Regions Bounded by Surfaces of the Cylindrical Coordinate System
214
(16)
The Flow of Heat in a Sphere and Cone
230
(25)
The use of Sources and Sinks in Cases of Variable Temperature
255
(27)
Change of State
282
(15)
The Laplace Transformation: Problems in Linear Flow
297
(30)
The Laplace Transformation: Problems on the Cylinder and Sphere
327
(26)
The Use of Green's Functions in the Solution of the Equation of Conduction
353
(34)
Further Applications of the Laplace Trans Formation
387
(34)
Steady Temperature
421
(34)
Integral Transforms
455
(11)
Numerical Methods
466
(33)
APPENDIXES
I. Contour Integrals and the Verification of Solutions obtained by the Laplace Transformation
479
(3)
II. The Error Function and Related Functions
482
(6)
III. Note on Bessel Functions
488
(3)
IV. The Roots of Certain Transcendental Equations
491
(3)
V. Table of Laplace Transforms
494
(3)
VI. Thermal Properties of Some Common Substances
497
(2)
Author Index
499
(6)
Subject Index
505
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