Richard Beals (mathematician) explained

Richard Beals
Birth Name:	Richard William Beals
Birth Date:	28 May 1938
Birth Place:	Erie, Pennsylvania, United States
Nationality:	American
Fields:	Mathematics
Workplaces:	University of Chicago Yale University
Alma Mater:	Yale University (BA, MA, PhD)
Thesis Title:	Non-Local Boundary Value Problems for Elliptic Partial Differential Operators
Thesis Url:	https://doi.org/10.2307/2373008
Thesis Year:	1964
Doctoral Advisor:	Felix Browder
Children:	3

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. 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.^[2]

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

• Book: Beals, Richard. Analysis: an introduction. 2004. Cambridge University Press. 978-0-511-64842-7. Cambridge, UK. 667041380. ^[3]
• Book: Beals. Richard. Calculus on Heisenberg manifolds. 1988. Princeton University Press. Peter. Greiner. Annals of Mathematics Studies. 119. 0-691-08500-5. Princeton, N.J.. 17765652. 0953082. 10.1515/9781400882397. ^[4]
• 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^[5]
• with Roderick Wong: Special functions: a graduate text, Cambridge University Press 2010^{[6] [7]}
  • Book: Beals. Richard. Special Functions and Orthogonal Polynomials . Wong. Roderick. 2016. Cambridge University Press. 978-1-316-22738-1. Cambridge. 10.1017/cbo9781316227381. 3524801. (Revised with 4 new chapters.)^[8]
• Topics in Operator Theory, University of Chicago Press 1971
• Book: Beals. Richard. Direct and inverse scattering on the line. 1988. American Mathematical Society. Percy. Deift. Percy Deift. Carlos. Tomei. 0-8218-1530-X. Providence, R.I.. 17875951. 0954382. 10.1090/surv/028. ^[9] 2015 pbk edition

External links

• Homepage

Notes and References

1. Biographical data from American Men and Women of Science, Thomson Gale 2004
2. News: Yale Mathematician Richard Beals Appointed to Endowed Post. 6 July 1998. YaleNews.
3. Web site: Hammond, Christopher. February 5, 2005. Review of Analysis: an introduction by Richard Beals. MAA Reviews, Mathematical Association of America.
4. Stanton. Nancy K.. Review: Calculus on Heisenberg manifolds, by Richard Beals and Peter Greiner. Bulletin of the American Mathematical Society. 1989. 21. 1. 177–179. 10.1090/s0273-0979-1989-15808-4. free.
5. Book: Microlocal analysis. Proceedings of the AMS summer conference at U. of Colorado, Boulder, July 10–16, 1983. Contemporary Mathematics. 27. AMS. Providence, Rhode Island. 1984. M. Salah Bauoendi, Richard Beals and Linda Preiss Rothschild (eds.). 741035.
6. Web site: MAA Review of Special Functions: A Graduate Text by Richard Beals and Roderick Wong. 18 January 2012. Johnson, Warren.
7. Web site: Review of Special Functions: A Graduate Text by Richard Beals and Roderick Wong. 15 September 2011. Martin Muldoon. pp.12-15.
8. Web site: Johnson, Warren. Review of Special Functions and Orthogonal Polynomials by Richard Beals and Roderick Wong. MAA Reviews, Mathematical Association of American. May 27, 2017.
9. Sachs. Robert L.. Review: Direct and inverse scattering on the line by Richard Beals, Percy Deift, and Carlos Tomei. Bull. Amer. Math. Soc. (N.S.). 1990. 22. 2. 349–353. 10.1090/S0273-0979-1990-15908-7. free.