Earl D. Rainville

Earl D. Rainville

Professor Earl David Rainville (1907 – 1966) taught in the Department of Engineering Mathematics at the University of Michigan, where he began as an assistant professor in 1941. [citation|title=Notes|url=http://projecteuclid.org/handle/euclid.bams/1183503962|journal=Bulletin of the American Mathematical Society|volume=47|issue=11|year=1941|pages=850–855.] He studied at the University of Colorado, [ [http://www.agnesscott.edu/lriddle/women/rosenbaum.htm Louise Johnson Rosenbaum] , Biographies of Women Mathematicians. Rainville is briefly mentioned as one of Rosenbaum's contemporaries at Colorado.] receiving his B.A. there in 1930 before going on to graduate studies at Michigan, where he received his Ph.D. in 1939 under the supervision of Ruel Churchill. [mathgenealogy|name=Earl D. Rainville|id=5208.] He died on April 29, 1966. [citation|title=News and Notices|journal=American Mathematical Monthly|volume=73|issue=10|year=1966|pages=1147–1148|url=http://links.jstor.org/sici?sici=0002-9890(196612)73%3A10%3C1147%3ANAN%3E2.0.CO%3B2-5.]

He was the author of several textbooks.


*"Linear Differential Invariance Under an Operator Related to the Laplace Transformation", Univ. of Michigan, 1940, reprinted from "American Journal of Mathematics", vol. 62. (Rainville's Ph.D. thesis.)
*"Intermediate Course in Differential Equations", Chapman & Hall, 1943.
*"Analytic Geometry", with Clyde E. Love, Macmillan, 1955.
*"Special Functions", Macmillan, 1960.
*"Unified Calculus and Analytic Geometry", Macmillan, 1961.
*"Differential and Integral Calculus", with Clyde E. Love, Macmillan, 1962.
*"Laplace Transform: An Introduction", 1963.
*"Intermediate Differential Equations", Macmillan, 1964.
*"Infinite Series", Macmillan, 1967.
*"Elementary Differential Equations", with Phillip E. Bedient, Macmillan, 1969. Eighth edition published by Prentice Hall, 1997, ISBN 0-13-508011-8.
*"A Short Course in Differential Equations", with Phillip E. Bedient, Macmillan, 1969.


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