Victor Klee

Last updated
Victor L. Klee
Victor Klee MFO.jpg
Born(1925-09-18)September 18, 1925
DiedAugust 17, 2007(2007-08-17) (aged 81)
Alma mater University of Virginia (Ph.D.)
Known for
Awards
Scientific career
Fields Mathematics
Institutions University of Washington
Thesis Convex Sets in Linear Spaces (1949)
Doctoral advisor Edward James McShane

Victor L. Klee, Jr. (September 18, 1925 – August 17, 2007) was a mathematician specialising in convex sets, functional analysis, analysis of algorithms, optimization, and combinatorics. He spent almost his entire career at the University of Washington in Seattle.

Contents

Life

Born in San Francisco, Vic Klee earned his B.A. degree in 1945 with high honors from Pomona College, majoring in mathematics and chemistry. He did his graduate studies, including a thesis on Convex Sets in Linear Spaces, and received his PhD in mathematics from the University of Virginia in 1949. After teaching for several years at the University of Virginia, he moved in 1953 to the University of Washington in Seattle, Washington, where he was a faculty member for 54 years. [1] He died in Lakewood, Ohio.

Research

Klee wrote more than 240 research papers. He proposed Klee's measure problem and the art gallery problem. Kleetopes are also named after him, as is the Klee–Minty cube, [2] which shows that the simplex algorithm for linear programming does not work in polynomial time in the worst–case scenario.

Service and recognition

Klee served as president of the Mathematical Association of America from 1971 to 1973. [1] In 1972 he won a Lester R. Ford Award. [3]

Notes

  1. 1 2 Gritzmann, Peter; Sturmfels, Bernd (April 2008). "Victor L. Klee 1925–2007" (PDF). Notices of the American Mathematical Society. Providence, RI: American Mathematical Society. 55 (4): 467–473. ISSN   0002-9920.
  2. Klee, Victor; Minty, George J. (1972). "How good is the simplex algorithm?". In Shisha, Oved (ed.). Inequalities III (Proceedings of the Third Symposium on Inequalities held at the University of California, Los Angeles, Calif., September 1–9, 1969, dedicated to the memory of Theodore S. Motzkin). New York-London: Academic Press. pp. 159–175. MR   0332165.
  3. Klee, Victor (1971). "What is a convex set?". Amer. Math. Monthly. 78 (6): 616–631. doi:10.2307/2316569. JSTOR   2316569.

Further reading

Related Research Articles

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Klee–Minty cube

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Combinatorial Geometry in the Plane is a book in discrete geometry. It was translated from a German-language book, Kombinatorische Geometrie in der Ebene, which its authors Hugo Hadwiger and Hans Debrunner published through the University of Geneva in 1960, expanding a 1955 survey paper that Hadwiger had published in L'Enseignement mathématique. Victor Klee translated it into English, and added a chapter of new material. It was published in 1964 by Holt, Rinehart and Winston, and republished in 1966 by Dover Publications. A Russian-language edition, Комбинаторная геометрия плоскости, translated by I. M. Jaglom and including a summary of the new material by Klee, was published by Nauka in 1965. The Basic Library List Committee of the Mathematical Association of America has recommended its inclusion in undergraduate mathematics libraries.

Convex Polytopes is a graduate-level mathematics textbook about convex polytopes, higher-dimensional generalizations of three-dimensional convex polyhedra. It was written by Branko Grünbaum, with contributions from Victor Klee, Micha Perles, and G. C. Shephard, and published in 1967 by John Wiley & Sons. It went out of print in 1970. A second edition, prepared with the assistance of Volker Kaibel, Victor Klee, and Günter M. Ziegler, was published by Springer-Verlag in 2003, as volume 221 of their book series Graduate Texts in Mathematics.