The Maslov dequantization, idempotent and tropical mathematics: A brief introduction
Abstract
This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the socalled Maslov dequantization of the traditional mathematics over numerical fields as the Planck constant $\hbar$ tends to zero taking imaginary values.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 July 2005
 arXiv:
 arXiv:math/0507014
 Bibcode:
 2005math......7014L
 Keywords:

 Mathematics  General Mathematics;
 00A05;
 81Q20;
 14P99;
 51P05;
 46S10;
 49L99 (Primary) 06A99;
 06F07;
 14N10;
 81S99 (Secondary)
 EPrint:
 English and Russian versions. This article, a result of a very considerable expansion of math.GM/0501038, is to appear in Journal of Mathematical Sciences (Notes of Scientific Seminars of the V.A. Steklov Mathematical Institute), see <