Biography:Bernard Epstein
Bernard Epstein (10 August 1920, Harrison, New Jersey – 30 March 2005, Montgomery County, Maryland) was an American mathematician and physicist who wrote several widely used textbooks on mathematics.[1]
Epstein was the son of Jewish immigrants from Lithuania and Romania, Yitzkhak Aharon Epstein and Sophie-Sarah née Goldenberg,[2] and was the first person in his family to go to college. He received bachelor's and master's degrees in mathematics and physics from New York University and then in 1947 a Ph.D. in applied mathematics, with thesis advisor Maurice Heins, from Brown University with thesis Method for the Solution of the Dirichlet Problem for Certain Types of Domains.[3]
In the early 1940s, he worked as a physicist at what is now the National Institute of Standards and Technology. During World War II, he was selected to join the Manhattan Project, which produced the first atomic bombs. After the war, he worked for two years at Harvard University as a research associate, taught mathematics as an associate professor at the University of Pennsylvania,[4] Stanford University and NYU and as a professor at Yeshiva University[5] and then spent 21 years on the faculty of the University of New Mexico as a professor of mathematics until his retirement in 1984.[1]
Sabbaticals included Office of Naval Research, London;[6] The Technion in Haifa, Israel; University of Maryland; and Air Force Office of Scientific Research. After retirement, he taught at George Mason University.[5]
Epstein was dissertation advisor for the following Ph.D. students:
- Anne Scheerer, University of Pennsylvania, 1953 [3]
- William Trench, University of Pennsylvania, 1958 [3]
- Jack Minker, University of Pennsylvania, 1959 [3]
- Edwin Sherry, Yeshiva University, 1964 [3]
- Darrell L. Hicks, University of New Mexico, 1969 [7]
- Harvey Z. Senter, Yeshiva University [8][9]
Upon his death at age 84, he was survived by his wife, five children, and 16 grandchildren.[1] His sixth child, a daughter, predeceased him.
Selected publications
Articles
- Epstein, Bernard (1947). "Some inequalities relating to conformal mapping upon canonical slit-domains". Bulletin of the American Mathematical Society 53 (8): 813–819. doi:10.1090/S0002-9904-1947-08895-9.
- Epstein, Bernard (1948). "A method for the solution of the Dirichlet problem for certain types of domains". Quarterly of Applied Mathematics 6 (3): 301–317. doi:10.1090/qam/28692.
- with S. Bergman: Bergman, Stefan; Epstein, Bernard (1948). "Determination of a compressible fluid flow past an oval-shaped obstacle". Journal of Mathematics and Physics 26 (1–4): 195–222. doi:10.1002/sapm1947261195.[10]
- with J. Lehner: Epstein, Bernard; Lehner, Joseph (1952). "On Ritt's representation of analytic functions as infinite products". Journal of the London Mathematical Society 27: 30–37. doi:10.1112/jlms/s1-27.1.30.
- with A. Scheerer: Epstein, Bernard; Scheerer, Anne (1956). "The existence of a generalized Green's function in the plane". Journal d'Analyse Mathématique 4: 222–235. doi:10.1007/BF02787722.
- with David S. Greenstein and Jack Minker: "An extremal problem with infinitely many interpolation conditions". Annals of Finnish Academy of Science (Soumalainen Tiedaekatamia Tomituksia), Series A:1 Mathematics 250/10, 1958.
- with F. Haber:[11] Haber, Fred; Epstein, Bernard (1958). "The parameters of nonlinear devices from harmonic measurements". IRE Transactions on Electron Devices 5 (1): 26–38. doi:10.1109/T-ED.1958.14324. Bibcode: 1958ITED....5...26H.
- Epstein, Bernard (1958). "The kernel function and conformal invariants". Journal of Mathematics and Mechanics 7 (6): 925–936.[12]
- with I. J. Schoenberg: Epstein, Bernard; Schoenberg, Isaac Jacob (1959). "On a conjecture concerning Schlicht functions". Bulletin of the American Mathematical Society 65 (4): 273–275. doi:10.1090/S0002-9904-1959-10342-6.
- with J. Minker: Epstein, Bernard; Minker, Jack (1960). "Extremal interpolatory problems in the unit disc". Proceedings of the American Mathematical Society 11 (5): 777–784. doi:10.1090/S0002-9939-1960-0118853-8.
- Epstein, Bernard (1962). "On the mean-value property of harmonic functions". Proceedings of the American Mathematical Society 13 (5): 830. doi:10.1090/S0002-9939-1962-0140700-0.
- Epstein, Bernard (1962). "A remark concerning the solution of the Dirichlet problem by finite differences". Mathematics of Computation 16 (77): 110–112. doi:10.1090/S0025-5718-1962-0132199-3.
- with M. M. Schiffer: Epstein, Bernard; Schiffer, Menahem Max (1965). "On the mean-value property of harmonic functions". Journal d'Analyse Mathématique 14 (1): 109–111. doi:10.1007/BF02806381.
- Epstein, Bernard (1966). "On a difference equation arising in a learning-theory model". Israel Journal of Mathematics 4 (3): 145–152. doi:10.1007/BF02760073.
- with H. Senter: Epstein, Bernard; Senter, Harvey (1967). "The three-dimensional Dirichlet problem associated with a plane lamina". Journal of Mathematics and Physics 46 (1–4): 425–439. doi:10.1002/sapm1967461425.
- with J. R. Blum: Blum, Julius R.; Epstein, Bernard (1971). "On the Fourier transforms of an interesting class of measures". Israel Journal of Mathematics 10 (3): 301–305. doi:10.1007/BF02771647.
- Epstein, Bernard (1977). "Infinite divisibility of Student's t-distribution". Sankhyā: The Indian Journal of Statistics. Series B 39 (2): 103–120.
Books
- Partial differential equations: an introduction. 1962.[13] 2nd edition. 1975.
- Orthogonal families of analytic functions. 1965.[14]
- Linear functional analysis: introduction to Lebesgue integration and infinite-dimensional problems. 1970. [15]
- with Liang-shin Hahn:[16] Classical complex analysis. 1996.[17]
References
- ↑ 1.0 1.1 1.2 Washington Post obituary: Bernard Epstein, College Mathematics Professor, 83 (This obituary erroneously states that Professor Epstein died at age 83 instead of the correct age 84 and also mistakenly states the number of grandchildren as 17 rather than 16 )
- ↑ Personal family records
- ↑ 3.0 3.1 3.2 3.3 3.4 Bernard Epstein at the Mathematics Genealogy Project
- ↑ "U. of Pennsylvania, Dept. of Mathematics, Tenured Faculty History: 1899 -". https://www.math.upenn.edu/History/tenured_faculty_1899-.html.
- ↑ 5.0 5.1 3 April 2005, Washington Post death notice: EPSTEIN, Dr. BERNARD (Age 84)
- ↑ Article title |ONR London report by Epstein
- ↑ "Darrell L. Hicks' Home Page". http://www.math.mtu.edu/~dlhicks/Hicks.html.
- ↑ Epstein, Bernard (1967). "The Three-Dimensional Dirichlet Problem Associated with a Plane Lamina". Journal of Mathematics and Physics 46 (1–4): 425–439. doi:10.1002/sapm1967461425.
- ↑ "Rabbi Dr. Zecharia Harvey Senter, Kashrus Pioneer, 84". 7 April 2021. https://www.jewishpress.com/review/in-print-review/rabbi-dr-zecharia-harvey-senter-kashrus-pioneer-84/2021/04/07/.
- ↑ Curtiss, John H. (1956). Numerical analysis. American Mathematical Soc.. ISBN 9780821813065. https://books.google.com/books?id=y3yti7thPlYC&q=%22Determination+of+a+compressible+fluid+flow+past+an+oval-shaped+obstacle%22+epstein&pg=PA28.
- ↑ EMC Society Founder Passes: Fred Haber 1921–2007, emsc.org
- ↑ Istratescu, V. I. (2012-12-06). Inner Product Structures: Theory and Applications. Springer. ISBN 9789400937130. https://books.google.com/books?id=YoD1CAAAQBAJ&pg=PA838.
- ↑ Copson, E. T. "Book Review: Bernard Epstein, Partial Differential Equations—An Introduction (McGraw-Hill, New York, 1962), x+ 273 pp., 74s." Proceedings of the Edinburgh Mathematical Society (Series 2) 13, no. 02 (1962): 193-193.
- ↑ Orthogonal families of analytic functions. Collier-Macmillan. January 1965. https://www.amazon.com/Orthogonal-families-functions-Mathematics-paperbacks/dp/B0000CMR44.
- ↑ Epstein, Bernard (1970). Linear Functional Analysis: Introduction to Lebesgue Integration and Infinite-dimensional Problems. W. B. Saunders Company. ISBN 0721633951.
- ↑ brief bio of Liang-shin Hahn, Complex Numbers and Geometry, p. 200
- ↑ Hahn, Liang-Shin; Epstein, Bernard (1996). Classical Complex Analysis. Jones and Bartlett Publishers. ISBN 086720494X.
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