G.L. Litvinov
The Maslov Dequantization, Idempotent and Tropical Mathematics: a Very Brief Introduction
The paper is published: in "Idempotent Mathematics and Mathematical Physics", G. L. Litvinov, V.P. Maslov (eds.), Contemp. Math., vol. 377, Amer. Math. Soc. 2005, 1 - 17

MSC:

00A05 General mathematics

81Q20 Semiclassical techniques including WKB and Maslov methods

14P99 None of the above but in this section

51P05 Geometry and physics (should also be assigned at least one other classification number from Sections 70--86)

46S10 Functional analysis over fields other than ${R}$ or

49L99 None of the above but in this section

06A99 None of the above but in this section

14N10 Enumerative problems (combinatorial problems)

81S99 None of the above but in this section

Abstract: This paper is a very brief introduction to idempotent mathematics
and related topics. It appears as an introductory paper in the
volume \textit{Idempotent Mathematics and Mathematical Physics}
(G.~L.~Litvinov and V.~P.~Maslov, eds; AMS Contemporary Mathematics
Proceedings Series, 2005) \cite{LiMa2005}.

Keywords: Maslov dequantization, idempotent mathematics, tropical mathematics, idempotent semirings, idempotent analysis, idempotent functional analysis, dequantization of geometry