Tropical Mathematics

Author: Speyer David   Sturmfels Bernd  

Publisher: Mathematical Association of America

ISSN: 1930-0980

Source: Mathematics Magazine, Vol.82, Iss.3, 2009-06, pp. : 163-173

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Abstract

In tropical mathematics, the sum of two numbers is their minimum and the product of two numbers is their usual sum. Many results familiar from algebra and geometry, including the Quadratic Formula, the Fundamental Theorem of Algebra, and Bezout's Theorem, continue to hold in the tropical world. This article explains how to draw tropical curves, how tropical linear spaces differ from their classical counterparts, and why evolutionary biologists might care.