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*"An analogy between pure mathematics and the operational mathematics of Heaviside by means of the theory of H-functions." Journal of the Franklin Institute 200, no. 5 (1925): 635–672. {{doi|10.1016/S0016-0032(25)90721-1}}
*"An analogy between pure mathematics and the operational mathematics of Heaviside by means of the theory of H-functions." Journal of the Franklin Institute 200, no. 5 (1925): 635–672. {{doi|10.1016/S0016-0032(25)90721-1}}
*"Telephone Interference from AC. Generators Feeding Directly on Line with Neutral Grounded." Transactions of the American Institute of Electrical Engineers 49, no. 2 (1930): 798–805. {{doi|10.1109/T-AIEE.1930.5055576}}
*"Telephone Interference from AC. Generators Feeding Directly on Line with Neutral Grounded." Transactions of the American Institute of Electrical Engineers 49, no. 2 (1930): 798–805. {{doi|10.1109/T-AIEE.1930.5055576}}
*with H. D. Brown: "Current and voltage wave shape of mercury arc rectifiers." Transactions of the American Institute of Electrical Engineers 52, no. 4 (1933): 973–984. {{doi|10.1109/T-AIEE.1933.5056433}}
*"How to say “no” in mathematics." Journal of the Franklin Institute 240, no. 2 (1945): 113–122. {{doi|10.1016/0016-0032(45)90245-6}}
*"How to say “no” in mathematics." Journal of the Franklin Institute 240, no. 2 (1945): 113–122. {{doi|10.1016/0016-0032(45)90245-6}}
*with P. L. Alger: "A derivation of Heaviside's operational calculus based on the generalized functions of Schwartz." Transactions of the American Institute of Electrical Engineers 68, no. 2 (1949): 939–946. {{doi|10.1109/T-AIEE.1949.5060031}}
*with P. L. Alger: "A derivation of Heaviside's operational calculus based on the generalized functions of Schwartz." Transactions of the American Institute of Electrical Engineers 68, no. 2 (1949): 939–946. {{doi|10.1109/T-AIEE.1949.5060031}}

Revision as of 18:08, 14 December 2017

James John Smith was an American applied mathematician and electrical engineer, known for his work on Heaviside operator theory.[1]

Smith received a Ph.D. in 1923 from Union College.[2] He worked for many years at the General Electric Research Laboratory in Schenectady, New York.

He was Invited Speaker of the ICM in 1928 at Bologna with talk Heaviside's operators and contour integrals[1] and in 1932 at Zurich with talk An expression of Green's function in generalized coordinates.[3]

Selected publications

  • "The solution of differential equations by a method similar to Heaviside's." Journal of the Franklin Institute 195, no. 6 (1923): 815–850.
  • "An analogy between pure mathematics and the operational mathematics of Heaviside by means of the theory of H-functions." Journal of the Franklin Institute 200, no. 5 (1925): 635–672. doi:10.1016/S0016-0032(25)90721-1
  • "Telephone Interference from AC. Generators Feeding Directly on Line with Neutral Grounded." Transactions of the American Institute of Electrical Engineers 49, no. 2 (1930): 798–805. doi:10.1109/T-AIEE.1930.5055576
  • with H. D. Brown: "Current and voltage wave shape of mercury arc rectifiers." Transactions of the American Institute of Electrical Engineers 52, no. 4 (1933): 973–984. doi:10.1109/T-AIEE.1933.5056433
  • "How to say “no” in mathematics." Journal of the Franklin Institute 240, no. 2 (1945): 113–122. doi:10.1016/0016-0032(45)90245-6
  • with P. L. Alger: "A derivation of Heaviside's operational calculus based on the generalized functions of Schwartz." Transactions of the American Institute of Electrical Engineers 68, no. 2 (1949): 939–946. doi:10.1109/T-AIEE.1949.5060031
  • with P. L. Alger: "Justification of Heaviside methods." Electrical Engineering 69, no. 2 (1950): 116–116. doi:10.1109/EE.1950.6434136
  • "Tables of Green's Functions, Fourier Series, and Impulse Functions for Rectangular Co-oradinate Systems." Transactions of the American Institute of Electrical Engineers 70, no. 1 (1951): 22–30. doi:10.1109/T-AIEE.1951.5060367
  • with P. L. Alger: "Finite representation of impulse functions: In solving differential equations." Electrical Engineering 70, no. 2 (1951): 143–143. doi:10.1109/EE.1951.6437272
  • with P. L. Alger: "The use of the null-unit function in generalized integration." Journal of the Franklin Institute 253, no. 3 (1952): 235–250. doi:10.1016/0016-0032(52)90502-4
  • "A method of solving Mathieu's equation." Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics 74, no. 4 (1955): 520–525. doi:10.1109/TCE.1955.6372408

Patents

References

  1. ^ a b Smith, J. J. "Heaviside's operators and contour integrals." In Atti del Congresso Internazionale dei Matematici: Bologna del 3 al 10 de settembre di 1928, pp. 309–336. 1929.
  2. ^ James John Smith at the Mathematics Genealogy Project
  3. ^ Richardson, R. G. D. (1932). "International Congress of Mathematicians, Zurich, 1932". Bull. Amer. Math. Soc. 38: 769–774. doi:10.1090/S0002-9904-1932-05491-X. (See p. 772.)