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American mathematician
Paul C. Rosenbloom
Born 1920 Died 2005 Alma mater Awards
Guggenheim Fellow Scientific career Fields mathematics
Paul Charles Rosenbloom (1920 in
Portsmouth, Virginia – 2005)
[1] was an American mathematician.
Life
Rosenbloom studied at the
University of Pennsylvania , where as an undergraduate he became a
Putnam Fellow in 1941.
[2] In 1944 he earned his PhD from
Stanford University under
Gábor Szegő with thesis On sequences of polynomials, especially sections of
power series .
[3] He was a professor of mathematics at
Brown University ,
Syracuse University (around 1951), the
University of Minnesota (middle to end of the 1950s), and the Teacher's College of
Columbia University (from the 1960s to his retirement as professor emeritus). His doctoral students include
Henry Gordon Rice .
Rosenbloom's research includes analysis, special functions, differential equations, logic, and the teaching of mathematics. In the academic year 1959–1960 he was the director of the Minnesota School Mathematics Center.
[4]
In 1946 he was a
Guggenheim Fellow .
[5] He was at the Institute for Advanced Study for the academic years 1953–1954 and 1971–1972.
[6]
Works
with
P. Erdős : Erdös, P.; Rosenbloom, P. C. (1946).
"Toeplitz methods which sum a given sequence" . Bull. Amer. Math. Soc . 52 (6): 463–464.
doi :
10.1090/s0002-9904-1946-08593-6 .
MR
0017383 .
Rosenbloom, P. C. (1946).
"Some properties of absolutely monotonic functions" . Bull. Amer. Math. Soc . 52 (6): 458–462.
doi :
10.1090/s0002-9904-1946-08591-2 .
MR
0016769 .
The Elements of Mathematical Logic, Dover 1950,
[7] 2005
with
A. N. Milgram : Milgram, A. N.; Rosenbloom, P. C. (1951).
"Harmonic Forms and Heat Conduction: I: Closed Riemannian Manifolds" . Proc Natl Acad Sci U S A . 37 (3): 180–184.
Bibcode :
1951PNAS...37..180M .
doi :
10.1073/pnas.37.3.180 .
PMC
1063329 .
PMID
16589000 .
with A. N. Milgram: Milgram, A. N.; Rosenbloom, P. C. (1951).
"Heat Conduction on Riemannian Manifolds: II: Heat Distribution on Complexes and Approximation Theory" . Proc Natl Acad Sci U S A . 37 (7): 435–436.
Bibcode :
1951PNAS...37..435M .
doi :
10.1073/pnas.37.7.435 .
PMC
1063395 .
PMID
16578379 .
Linear Partial Differential Equations, in
George Elmer Forsythe , Rosenbloom: Numerical analysis and partial differential equations, Wiley 1958
[8]
with
D. V. Widder : Rosenbloom, P. C.; Widder, D. V. (1959).
"Expansions in terms of heat polynomials and associated functions" . Trans. Amer. Math. Soc . 92 (2): 220–266.
doi :
10.1090/s0002-9947-1959-0107118-2 .
MR
0107118 .
as editor: Modern viewpoints in the curriculum: National Conference on Curriculum Experimentation, (Conference in 1961), McGraw Hill 1964
with Seymour Schuster: Prelude to Analysis, Prentice–Hall 1966
Rosenbloom, P. C. (1973).
"Trèves' identity" . Proc. Amer. Math. Soc . 38 (1): 151–154.
doi :
10.1090/s0002-9939-1973-0312303-3 .
MR
0312303 .
Rosenbloom, P. C. (1973).
"A fixed point theorem for mappings in scaled metric spaces, with applications to partial differential equations" . Bull. Amer. Math. Soc . 79 (3): 566–569.
doi :
10.1090/s0002-9904-1973-13206-9 .
MR
0315249 .
with A. Evyatar: Motivated Mathematics, Cambridge University Press 1981
References
International National Academics Other