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Richard Duffin

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Nationality
  
American

Name
  
Richard Duffin

Fields
  

Richard Duffin www4ncsuedunjroseSpecialimgPetersonjpg

Institutions
  
Carnegie Mellon UniversityPurdue University

Alma mater
  
University of Illinois at Urbana-Champaign

Doctoral advisor
  
Harold Mott-SmithDavid Bourgin

Doctoral students
  
Raoul BottElmor PetersonHans Weinberger

Known for
  
Work on electrical network theoryDKP algebraDuffin–Schaeffer conjecture

Died
  
October 29, 1996, Pittsburgh, Pennsylvania, United States

Education
  
University of Illinois at Urbana–Champaign

Notable awards
  
Books
  
Geometric Programming: Theory and Application

Similar People
  

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Richard James Duffin (1909 – October 29, 1996) was an American physicist, known for his contributions to electrical transmission theory and to the development of geometric programming and other areas within operations research.

Contents

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Education and career

Duffin obtained a BSc in physics at the University of Illinois, where he was elected to Sigma Xi in 1932. He stayed at Illinois for his PhD, which was advised by Harold Mott-Smith and David Bourgin, producing a thesis entitled Galvanomagnetic and Thermomagnetic Phenomena (1935).

Duffin lectured at Purdue University and Illinois before joining the Carnegie Institute in Washington, D.C. during World War II. His wartime work was devoted to the development of navigational equipment and mine detectors. In 1946, he became Professor of Mathematics at Carnegie Mellon University. He wrote a letter of recommendation to Princeton University for John Forbes Nash, Jr., later a Nobel laureate. Duffin and his student Raoul Bott developed network synthesis filters when the given transfer function is a positive-real function in 1949.

Duffin would remain at Carnegie Mellon until his retirement in 1988. Duffin was also a consultant to Westinghouse Electric Corporation.

Duffin was inducted to the National Academy of Sciences in 1972 and to the American Academy of Arts and Sciences in 1984. He was joint winner of the 1982 John von Neumann Theory Prize, and winner of Sigma Xi's Monie A. Ferst Award for 1984 in recognition of his ability as a teacher and communicator.

Selected publications

  • 1949: With Raoul Bott, "Impedance synthesis without the use of transformers", Journal of Applied Physics 20:816.
  • 1952: With A.C.Schaeffer, "A class of nonharmonic Fourier series". Trans. Amer. Math. Soc. 72: 341–366. MR 0047179. doi:10.1090/s0002-9947-1952-0047179-6. 
  • 1953: With R. Bott, "On the algebra of networks". Trans. Amer. Math. Soc. 74: 99–109. MR 0056573. doi:10.1090/s0002-9947-1953-0056573-x. 
  • 1956: "Exponential decays in nonlinear networks". Proc. Amer. Math. Soc. 7: 1094–1106. MR 0083366. doi:10.1090/s0002-9939-1956-0083366-8. 
  • 1959: "An analysis of the Wang algebra of networks". Trans. Amer. Math. Soc. 93: 114–131. MR 0109161. doi:10.1090/s0002-9947-1959-0109161-6. 
  • 1962: "The reciprocal of a Fourier series". Proc. Amer. Math. Soc. 13: 965–970. MR 0145259. doi:10.1090/s0002-9939-1962-0145259-x. 
  • 1967: With Elmor Peterson and Clarence M. Zener, Geometric programming. John Wiley, xi + 278 pp.
  • 1974: "Some problems of mathematics and science". Bull. Amer. Math. Soc. 80 (6): 1053–1070. MR 0359436. doi:10.1090/s0002-9904-1974-13618-9. 
  • References

    Richard Duffin Wikipedia