Robert G. Bartle

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

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

He mainly dealt with linear operators in Banach spaces, spectral theory and integration theory. At the invitation of Nelson Dunford and Jacob Schwartz , he wrote extensive editing comments for their book Linear Operators . His textbooks The Elements of Integration on the Lebesgue Integral from 1966 and The Elements of Real Analysis from 1964 were well known.

He was visiting professor at Berkeley, Cambridge, Imperial College London, Georgia Institute of Technology and the Romanian Academy of Sciences, among others.

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

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

Fonts

  • The Elements of Real Analysis, Wiley 1964
  • The Elements of Integration, Wiley 1966
  • with Donald R. Sherbert: Introduction to Real Analysis, Wiley 1982
  • with Cassius Ionescu-Tulcea : Calculus, Scott Foresman 1968
  • with Cassius Ionescu-Tulcea: An introduction to Calculus, Scott Foresman 1968
  • with Cassius Ionescu-Tulcea: 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 (received the Lester Randolph Ford Award , he advocates moving from the Lebesgue integral to the Riemann-like Henstock-Kurzweil integral )
  • A brief history of the mathematical literature, AMS, 1990, pdf (published in a volume for the 50th anniversary of the Mathematical Reviews)

Web links

Individual evidence

  1. ↑ Robert G. Bartle in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Bartle, Robert G.
ALTERNATIVE NAMES Bartle, Robert Gardner (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH November 20, 1927
PLACE OF BIRTH Kansas City (Missouri)
DATE OF DEATH September 18, 2003
Place of death Ann Arbor