Leif Arkeryd
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Leif O. Arkeryd (born 24 August 1940) is professor emeritus of
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
at
Chalmers University of Technology Chalmers University of Technology (, commonly referred to as Chalmers) is a private university, private research university located in Gothenburg, Sweden. Chalmers focuses on engineering and science, but more broadly it also conducts research ...
. He is a specialist on the theory of the
Boltzmann equation The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium; it was devised by Ludwig Boltzmann in 1872.Encyclopaedia of Physics (2nd Edition), R. G ...
. Arkeryd earned his doctorate from
Lund University Lund University () is a Public university, public research university in Sweden and one of Northern Europe's oldest universities. The university is located in the city of Lund in the Swedish province of Scania. The university was officially foun ...
in 1966, under the supervision of Jaak Peetre.


Selected publications

*Arkeryd, Leif: On the Boltzmann equation. I. Existence. Arch. Rational Mech. Anal. 45 (1972), 1–16. *
Nonstandard analysis The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using (ε, δ)-definitio ...
. Theory and applications. Proceedings of the NATO Advanced Study Institute on Nonstandard Analysis and its Applications held in Edinburgh, June 30–July 13, 1996. Edited by Leif O. Arkeryd, Nigel J. Cutland and C. Ward Henson. NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, 493. Kluwer Academic Publishers Group, Dordrecht, 1997.


See also

*
Influence of non-standard analysis Abraham Robinson's theory of nonstandard analysis has been applied in a number of fields. Probability theory "Radically elementary probability theory" of Edward Nelson combines the discrete and the continuous theory through the infinitesimal approa ...


References

Swedish mathematicians Living people Lund University alumni Academic staff of the Chalmers University of Technology 1940 births {{Europe-mathematician-stub