Werner H. Greub

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Werner Hildbert Greub , originally Graeub (* 1925 in Feldkirch , Vorarlberg, † 1991 ) was a Swiss mathematician who studied linear algebra and differential geometry .

life and work

Graeub in 1949 at the University of Heidelberg with the dissertation The semi-linear mappings doctorate . He taught as a private lecturer at the University of Zurich . In 1960 he went to the USA and in 1962 to the University of Toronto . Since then he has chosen the spelling Greub for his name .

Greub wrote a monograph on linear algebra in the fundamentals of mathematical science and a three-volume textbook on differential geometry with Ray Vanstone and Stephen Halperin , which was created over several decades and originally a book project by Greub with HH Keller in Zurich at the end of the 1950s on forms of connection in fiber bundles.

He should not be confused with the Swiss anthroposophist and Grail researcher Werner Greub (1909–1997).

Fonts

  • The semilinear maps, meeting reports of the Heidelberg Academy of Sciences 1950 (dissertation)
  • Linear Algebra, Basic Teachings of Mathematical Sciences, Springer Verlag, 1958, 3rd edition 1967 (English, as Linear Algebra )
  • Multilinear Algebra, Springer Verlag, 1967, Universitext 1978
  • Lineare Algebra, Heidelberger Taschenbücher, Springer Verlag 1976
  • with Stephen Halperin, Ray Vanstone: Connections, Curvature and Cohomology, 3 volumes (Volume 1: De Rham Cohomology of Manifolds and Vector Bundles, Volume 2 Lie Groups, Principal Bundles and Characteristic Classes, Volume 3 Cohomology of principal bundles and homogeneous spaces), Academic Press 1972, 1973, 1976

Individual evidence

  1. Werner H. Greub in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Information from Greub, Halperin, Van Stone Connections, Curvature and Homology , foreword