This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional mathematics over numerical fields as the Planck constant $\hbar$ tends to zero taking imaginary values.
arXiv Mathematics e-prints
- Pub Date:
- July 2005
- Mathematics - General Mathematics;
- 49L99 (Primary) 06A99;
- 81S99 (Secondary)
- 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 <