Paul C. Rosenbloom Explained

Birth Date:	1920
Death Date:	2005
Field:	mathematics
Awards:	Guggenheim Fellow

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: Toeplitz methods which sum a given sequence. Bull. Amer. Math. Soc.. 1946. 52. 6. 463–464. 0017383. 10.1090/s0002-9904-1946-08593-6. free. Erdös. P.. Rosenbloom. P. C..
• Some properties of absolutely monotonic functions. Bull. Amer. Math. Soc.. 1946. 52. 6. 458–462. 0016769. 10.1090/s0002-9904-1946-08591-2. free. Rosenbloom. P. C..
• The Elements of Mathematical Logic, Dover 1950,^[7] 2005
• with A. N. Milgram: Harmonic Forms and Heat Conduction: I: Closed Riemannian Manifolds. Proc Natl Acad Sci U S A. 1951. 37. 3. 180–184. 1063329. 10.1073/pnas.37.3.180. 16589000. Milgram. A. N.. Rosenbloom. P. C.. 1951PNAS...37..180M . free.
• with A. N. Milgram: Heat Conduction on Riemannian Manifolds: II: Heat Distribution on Complexes and Approximation Theory. Proc Natl Acad Sci U S A. 1951. 37. 7. 435–436. 1063395. 10.1073/pnas.37.7.435. 16578379. Milgram. A. N.. Rosenbloom. P. C.. 1951PNAS...37..435M . free.
• Linear Partial Differential Equations, in George Elmer Forsythe, Rosenbloom: Numerical analysis and partial differential equations, Wiley 1958^[8]
• with D. V. Widder: Expansions in terms of heat polynomials and associated functions. Trans. Amer. Math. Soc.. 1959. 92. 2. 220–266. 0107118. 10.1090/s0002-9947-1959-0107118-2. free. Rosenbloom. P. C.. Widder. D. V..
• 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
• Trèves' identity. Proc. Amer. Math. Soc.. 1973. 38. 1. 151–154. 0312303. 10.1090/s0002-9939-1973-0312303-3. free. Rosenbloom. P. C..
• A fixed point theorem for mappings in scaled metric spaces, with applications to partial differential equations. Bull. Amer. Math. Soc.. 1973. 79. 3. 566–569. 0315249. 10.1090/s0002-9904-1973-13206-9. free. Rosenbloom. P. C..
• with A. Evyatar: Motivated Mathematics, Cambridge University Press 1981

References

1. biographical information in Gerald Alexanderson The Random Walks of George Pólya, Cambridge University Press 2000
2. Web site: Putnam Competition Individual and Team Winners . Mathematical Association of America. December 10, 2021.
3. http://www.genealogy.math.ndsu.nodak.edu/id.php?id=8371 Mathematics Genealogy Project
4. http://conservancy.umn.edu/bitstream/43434/1/1958-59-15.pdf University of Minnesota, Minutes, 1959, pdf
5. Web site: Paul C. Rosenbloom. John Simon Guggenheim Memorial Foundation.
6. Web site: Paul C. Rosenbloom. Institute for Advanced Study. 9 December 2019.
7. Novak, I. L.. Review: The elements of mathematical logic, by P. C. Rosenbloom. Bull. Amer. Math. Soc.. 1952. 58. 2. 266–268. 10.1090/s0002-9904-1952-09603-8. free.
8. Lax, Peter D.. Peter Lax. Review: Numerical analysis and partial differential equations, by G. E. Forsythe and P. C. Rosenbloom. Bull. Amer. Math. Soc.. 1959. 65. 6. 342–343. 10.1090/s0002-9904-1959-10363-3. free.