Robert G. Bartle

Robert Gardner Bartle ( born November 20, 1927 in Kansas City, † 18 September 2003 in Ann Arbor ) was an American mathematician who dealt with Analysis and Functional Analysis. He is known for Analysis textbooks in the United States.

Bartle studied at Swarthmore College ( bachelor's degree with honors in 1947 ) and in 1951 at Lawrence M. Graves at the University of Chicago doctorate (singular points of functional equations ). 1951 to 1955 he was at Yale University and later at the University of Illinois at Urbana- Champaign, where he retired in 1990. After that, he was a professor at Eastern Michigan University until 1998.

It dealt mainly with linear operators in Banach spaces, spectral theory and integration theory. At the invitation of Nelson Dunford and Jacob Schwartz, he wrote detailed editing comments for the book Linear Operators. His textbooks The Elements of integration over the Lebesgue integral of 1966, The Elements of Real Analysis by 1964 were known.

He has been a visiting professor at Berkeley, Cambridge, Imperial College, London, at the Georgia Institute of Technology and the Romanian Academy of Sciences.

1976 to 1978 and 1986 to 1990 he was editor of Mathematical Reviews. He was for some time editor of the Illinois Mathematics Journal.

He was married twice and had two sons from his first marriage.

Writings

  • The Elements of Real Analysis, Wiley 1964
  • The Elements of Integration, Wiley 1966
  • With Donald R. Sherbert: Introduction to Real Analysis, Wiley 1982
  • Cassius Ionescu Tulcea with: Calculus, Scott Foresman 1968
  • Cassius Ionescu Tulcea - with: An introduction to Calculus, Scott Foresman 1968
  • Cassius Ionescu Tulcea with: Honors Calculus, Scott Foresman 1970
  • The Modern Theory of Integration, AMS 2001
  • Return to the Riemann integral, American Mathematical Monthly, Volume 103, 1996, pp. 635-632 ( awarded the Lester Randolph Ford Award, he argues that to move from Lebesgue integral to the Riemann -like Henstock - Kurzweil integral)
  • A brief history of the mathematical literature, AMS, 1990, pdf (released in a ribbon for the 50th anniversary of the Mathematical Reviews )
Kansas City (Missouri) September 18 Henstock–Kurzweil integral Mathematics Genealogy Project Integrated Authority File
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