Geodesic
The Maslov dequantization, idempotent and tropical mathematics: a~brief introduction
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 145-182

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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. 
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     author = {G. L. Litvinov},
     title = {The {Maslov} dequantization, idempotent and tropical mathematics: a~brief introduction},
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G. L. Litvinov. The Maslov dequantization, idempotent and tropical mathematics: a~brief introduction. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 145-182. http://geodesic.mathdoc.fr/item/ZNSL_2005_326_a8/