Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

The first edition, published in 1906, was a work on “Fourier's Series and Integrals and the Mathematical Theory of the Conduction of Heat”. The second edition followed in 1921, in two volumes.

Fourier's well-known heat equation, introduced in 1822, describes how temperature changes in space and time when heat flows through a material. In general, this formulation works well to describe ...

Paul W. Schmidt, An Asymptotic Approximation for a Type of Fourier Integral, Mathematics of Computation, Vol. 32, No. 144 (Oct., 1978), pp. 1171-1182 Free online reading for over 10 million articles ...