This pamphlet, based on lectures given by Laurent Schwartz at the Canadian Mathematical Congress in 1951, gives a detailed introduction to the theory of distributions, in terms of classical analysis, for applied mathematicians and physicists. Mathematical Congress Lecture Series, No. 1

In its discussions of mathematical entities and their elementary properties, this text employs examples from the physical sciences. Its concise treatment covers preliminary results in the integral calculus, distribution theory, Fourier series and transforms, the Laplace transform, the wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.