Detlef Laugwitz

Detlef Laugwitz ( born May 11, 1932 in Breslau, † 2000) was a German mathematician who worked on differential geometry, history of mathematics, didactics, functional analysis and nonstandard analysis.

Life and work

After the expulsion of his family from Silesia to Saxony Detlef Laugwitz attended high school for boys in Rinteln, where he in 1949 the Abitur. In the same year he began his studies of mathematics, physics and philosophy at the University of Göttingen, where he received his doctorate in 1954 with a thesis on differential geometry. 1955 to 1957 he was wissenschaftliocher staff of the Mathematical Institute of the University of Freiburg, active from 1956 as a fellow of the DFG in Oberwolfach and at the University of Erlangen. In 1958 he became a lecturer at the Technical University of Munich, where he had habilitation. In the same year he went to the Technical University of Darmstadt, where he received a full professorship in 1962, a position he held until his retirement. He continued his research as a guest at the Accademia Nazionale dei Lincei in Rome and was during the 1976 /77 and 1984/85 Visiting Professor at the California Institute of Technology (Caltech ) in Pasadena, California.

Laugwitz dealt with the differential geometry of infinite-dimensional vector spaces ( as in his dissertation ) and Finsler geometry. He developed from 1958 onwards with Curt forging their own access to nonstandardanalysis over field extensions, regardless of Abraham Robinson. They described this as " infinitesimal " and Laugwitz led the historical roots back to Leibniz. In 1996 he published - apart from Dedekind's demolition in the collected works once - first and only biography of Bernhard Riemann, which has since been considered the standard work.

Laugwitz 1968 was founder of the yearbook series overviews mathematics at BI scientific publisher.

Writings

  • With Herbert Meschkowski: Meyers Handbook of mathematics. Bibliographic Institute in 1967, 1972.
  • School mathematics from a higher point of view. BI Science Publishers 1969.
  • Infinitesimal calculus: continuum and numbers - an introduction to the Non-standard Analysis. BI university paperback 1978.
  • Numbers and continuum - an introduction to the infinitesimal. University Press in 1986.
  • Engineering Mathematics. BI university paperback, 7 volumes, 1964-1967.
  • With Benno Fuchssteiner: Functional Analysis. BI Science Publishers 1974.
  • Differential geometry. Teubner 1960, 2nd edition 1968, 3rd edition 1977.
  • Differential geometry in vector spaces with special emphasis on infinite dimensional spaces. Vieweg 1965.
  • Bernhard Riemann 1826-1866. Birkhäuser 1996, 2008, ISBN 0,817,647,767th
  • With Curt Forging: An extension of the calculus. Mathematical Journal Bd.69, 1958, p.1 - 39th
  • One way to Nonstandard Analysis. DMV Annual Report 1973.
Wrocław Deutsche Forschungsgemeinschaft Integrated Authority File
232429
de