University of Chicago.
He is perhaps most famous for writing the popular textbooks The Elements of Real Analysis (1964) and The Elements of Integration (1966) published by John Wiley & Sons. He was on the faculty of the Department of Mathematics at the University of Illinois from 1955 to 1990. Bartle was Executive Editor of Mathematical Reviews from 1976 to 1978 and from 1986 to 1990.
As described by Kister and Sherbert (2004),
In 1990 Bob arranged a splendid celebration of the fiftieth anniversary of the founding of Magnetic Resonance at the Joint Mathematics Meetings in Louisville, Kentucky.
Attendees at the evening session, at which Saunders Mac Lane was main speaker, were given an anniversary booklet that included Bob"s article "A brief history of the mathematical literature". (See external link below)
From 1990 to 1999 he taught at Eastern Michigan University.