Richard Beals (mathematician)

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Richard William Beals (28 May 1938, Erie, Pennsylvania)[1] is an American mathematician who works on partial differential equations and functional analysis. He is known as the author or co-author of several mathematical textbooks.

Beals studied at Yale University earning a B.A. in 1960, an M.A. in 1962, and a Ph.D. in 1964 under Felix Browder with thesis Non-Local Boundary Value Problems for Elliptic Partial Differential Operators.[2] In the academic year 1965/1966 he was a visiting assistant professor at the University of Chicago, where he became in 1966 an assistant professor and later a professor. In 1977 he became a professor at Yale University.[3]

Beals works on inverse problems in scattering theory, integrable systems, pseudodifferential operators, complex analysis, global analysis and transport theory. He has been married since 1962 and has three children.

He should not be confused with the mathematics professor at Rutgers University named R. Michael Beals (born in 1954), who is Richard Beals's brother.


  • Analysis – an introduction, Cambridge University Press 2004
  • with Peter Greiner: Calculus on Heisenberg Manifolds, Princeton University Press 1988[4]
  • Advanced mathematical analysis; periodic functions and distributions, complex analysis, Laplace transform and applications, Springer Verlag 1973
  • with M. Salah Baouendi and Linda Preiss Rothschild (eds.) Microlocal Analysis, American Mathematical Society 1984[5]
  • with Roderick Wong: Special functions: a graduate text, Cambridge University Press 2010[6]
  • Topics in Operator Theory, University of Chicago Press 1971
  • with Percy Deift, Carlos Tomei: Direct and inverse scattering on the line, American Mathematical Society 1988[7]


  1. ^ Biographical data from American Men and Women of Science, Thomson Gale 2004
  2. ^ Richard William Beals at the Mathematics Genealogy Project
  3. ^ "Yale Mathematician Richard Beals Appointed to Endowed Post". YaleNews. 6 July 1998. 
  4. ^ Stanton, Nancy K. (1989). "Review: Calculus on Heisenberg manifolds, by Richard Beals and Peter Greiner" (PDF). Bull. Amer. Math. Soc. (N.S.). 21 (1): 177–179. doi:10.1090/s0273-0979-1989-15808-4. 
  5. ^ M. Salah Bauoendi, Richard Beals and Linda Preiss Rothschild (eds.) (1984). Microlocal analysis. Proceedings of the AMS summer conference at U. of Colorado, Boulder, July 10–16, 1983. Contemporary Mathematics. 27. Providence, Rhode Island: AMS. MR 741035. 
  6. ^ Johnson, Warren (18 January 2012). "MAA Review of Special Functions: A Graduate Text by Richard Beals and Roderick Wong". ,Marting Muldoon (15 September 2011). "Review of Special Functions: A Graduate Text by Richard Beals and Roderick Wong" (PDF).  pp.12-15.
  7. ^ Sachs, Robert L. (1990). "Review: Direct and inverse scattering on the line by Richard Beals, Percy Deift, and Carlos Tomei" (PDF). Bull. Amer. Math. Soc. (N.S.). 22 (2): 349–353. doi:10.1090/S0273-0979-1990-15908-7. 

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