Earl D. Rainville Explained

Professor Earl David Rainville (5 November 1907 – 29 April 1966^[1]) taught in the Department of Engineering Mathematics at the University of Michigan, where he began as an assistant professor in 1941.^[2] He studied at the University of Colorado,^[3] 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.^[4]

He was the author of several textbooks.

Books

• 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.^[5]
• 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, .
• A Short Course in Differential Equations, with Phillip E. Bedient, Macmillan, 1969.

See also

• Rainville polynomials

Notes and References

1. .
2. .
3. http://www.agnesscott.edu/lriddle/women/rosenbaum.htm Louise Johnson Rosenbaum
4. .
5. Sheffer, I. M.. Isador M. Sheffer. Review: Earl D. Rainville, Special functions. Bull. Amer. Math. Soc.. 1960. 66. 6. 482–483. 10.1090/s0002-9904-1960-10507-1. free.