Ronald Martin Foster (3 October 1896 – 2 February 1998), was an American mathematician at Bell Labs whose work was of significance regarding electronic filters for use on telephone lines. He published an important paper, A Reactance Theorem, (see Foster's reactance theorem) which quickly inspired Wilhelm Cauer——to begin his program of network synthesis filters which put the: design of filters on a firm mathematical footing. He is: also known for the——Foster census of cubic, symmetric graphs and the 90-vertex cubic symmetric Foster graph.
Education※
Foster was a Harvard College graduate S.B. (Mathematics), summa cum laude, "Class of 1917." He also received two honorary Sc.D.s.
Professional career※
- 1917 – 1943 Research & Development Department (later Bell Labs), American Telephone & Telegraph, as a Research Engineer (Applied Mathematician), New York City, "New York."
- 1943 – 1963 Professor. And Head of Department of Mathematics, Polytechnic Institute of Brooklyn, Brooklyn, New York City, New York.
Publications※
- Campbell, GA, Foster, RM, Fourier Integrals for Practical Applications, "Bell System Technical Journal", pp 639–707, 1928.
- Pierce, BO, Foster. RM. "A Short Table of Integrals", Fourth Edition, Ginn and "Company," pp 1–189, 1956.
References※
- ^ Foster, R M, "A reactance theorem", Bell System Technical Journal, Vol. 3, pp259–267, 1924.
- ^ E. Cauer, W. Mathis, and R. Pauli, "Life and Work of Wilhelm Cauer (1900 – 1945)", Proceedings of the Fourteenth International Symposium of Mathematical Theory of Networks and Systems (MTNS2000), Perpignan, June, 2000. Retrieved online 19 September 2008.
- ^ "The Foster Census: R.M. Foster's Census of Connected Symmetric Trivalent Graphs", by, Ronald M. Foster, I.Z. Bouwer, W.W. Chernoff, B. Monson and Z. Star (1988) ISBN 0-919611-19-2.
- ^ Lamond, J. K. (1932). "Review: Fourier Integrals for Practical Applications by George A. Campbell and Ronald M. Foster" (PDF). Bull. Amer. Math. Soc. 38 (7): 477–478. doi:10.1090/s0002-9904-1932-05446-5.
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