No CrossRef data available.
Published online by Cambridge University Press: 03 November 2016
In the interesting new book by Carslaw and Jaeger, Operational Methods in Applied Mathematics, a point is raised which does not seem to have been explained adequately in this or any other book on this subject that I have seen. This concerns the application of initial conditions to switching problems in electric circuit theory. Reference is made to this deficiency in a review of this book in the Gazette, XXVI, No. 268 (February 1942), pp. 63-64, and the present article is a suggested way of overcoming it.
page 157 of note † It is assumed that the Heaviside operational forms are used, that is to say that the O.F. of exp kt is p/(p-k), etc. A slight modification is necessary if Laplace forms are used.
page 157 of note ‡ A star will be used to denote operational forms.