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.
Richard Beals | |
|---|---|
| Born | Richard William Beals May 28, 1938 Erie, Pennsylvania, United States |
| Nationality | American |
| Alma mater | Yale University (BA, MA, PhD) |
| Children | 3 |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Chicago Yale University |
| Thesis | Non-Local Boundary Value Problems for Elliptic Partial Differential Operators (1964) |
| Doctoral advisor | Felix Browder |
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.
Works
edit- Beals, Richard (2004). Analysis: an introduction. Cambridge, UK: Cambridge University Press. ISBN 978-0-511-64842-7. OCLC 667041380.[4]
- Beals, Richard; Greiner, Peter (1988). Calculus on Heisenberg manifolds. Annals of Mathematics Studies. Vol. 119. Princeton, N.J.: Princeton University Press. doi:10.1515/9781400882397. ISBN 0-691-08500-5. MR 0953082. OCLC 17765652.[5]
- Advanced mathematical analysis; periodic functions and distributions, complex analysis, Laplace transform and applications, Springer Verlag 1973; 2013 pbk edition
- with M. Salah Baouendi and Linda Preiss Rothschild (eds.) Microlocal Analysis, American Mathematical Society 1984[6]
- with Roderick Wong: Special functions: a graduate text, Cambridge University Press 2010[7][8]
- Beals, Richard; Wong, Roderick (2016). Special Functions and Orthogonal Polynomials. Cambridge: Cambridge University Press. doi:10.1017/cbo9781316227381. ISBN 978-1-316-22738-1. MR 3524801. (Revised with 4 new chapters.)[9]
- Topics in Operator Theory, University of Chicago Press 1971
- Beals, Richard; Deift, Percy; Tomei, Carlos (1988). Direct and inverse scattering on the line. Providence, R.I.: American Mathematical Society. doi:10.1090/surv/028. ISBN 0-8218-1530-X. MR 0954382. OCLC 17875951.[10] 2015 pbk edition
References
edit- ^ Biographical data from American Men and Women of Science, Thomson Gale 2004
- ^ Richard William Beals at the Mathematics Genealogy Project
- ^ "Yale Mathematician Richard Beals Appointed to Endowed Post". YaleNews. 6 July 1998.
- ^ Hammond, Christopher (February 5, 2005). "Review of Analysis: an introduction by Richard Beals". MAA Reviews, Mathematical Association of America.
- ^ Stanton, Nancy K. (1989). "Review: Calculus on Heisenberg manifolds, by Richard Beals and Peter Greiner" (PDF). Bulletin of the American Mathematical Society. 21 (1): 177–179. doi:10.1090/s0273-0979-1989-15808-4.
- ^ 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. Vol. 27. Providence, Rhode Island: AMS. MR 0741035.
{{cite book}}:|author=has generic name (help) - ^ Johnson, Warren (18 January 2012). "MAA Review of Special Functions: A Graduate Text by Richard Beals and Roderick Wong".
- ^ Martin Muldoon (15 September 2011). "Review of Special Functions: A Graduate Text by Richard Beals and Roderick Wong" (PDF). pp.12-15.
- ^ Johnson, Warren (May 27, 2017). "Review of Special Functions and Orthogonal Polynomials by Richard Beals and Roderick Wong". MAA Reviews, Mathematical Association of American.
- ^ 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.