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Application of Operational Methods to Switching Problems

Published online by Cambridge University Press:  03 November 2016

B. M. Brown
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Extract

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.

Type
Research Article
Information
The Mathematical Gazette , Volume 26 , Issue 271 , October 1942 , pp. 157 - 160
Copyright
Copyright © Mathematical Association 1942

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References

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.