Wilhelmus Anthonius Josephus Luxemburg (11 April 1929 – 2 October 2018)[1][2] was a Dutch American mathematician who was a professor of mathematics at the California Institute of Technology.
[3] Luxemburg became a corresponding member of the Royal Netherlands Academy of Arts and Sciences in 1974.
[4] Luxemburg contributed to the development of non-standard analysis by popularizing the construction of hyperreal numbers in the 1960s.
Though Edwin Hewitt had shown the construction in 1948, the formalization of non-standard analysis is generally associated with Abraham Robinson.
[5] Other notable work he did was in the theory of Riesz spaces (partially ordered vector spaces where the order structure is a lattice).