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Tropical Mathematics

2009/06/01 by David E Speyer, Bernd Sturmfels · 111 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Advanced Combinatorial Mathematics #Commutative Algebra and Its Applications #Tropical geometry #Subject (documents) #Mathematics education #Mathematics #Reading (process) #Section (typography) #Field (mathematics) #Algebraic number #Pure mathematics #Algebra over a field #Computer science #Library science #Political science #Mathematical analysis #Law

paper · open access · doi:10.1080/0025570x.2009.11953615

published in Mathematics Magazine 82(3), 163-173 (Taylor & Francis)

openalex publication_date 2009/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

These are the notes for the Clay Mathematics Institute Senior Scholar Lecture which was delivered by Bernd Sturmfels in Park City, Utah, on July 22, 2004. The topic of this lecture is the ``tropical approach'' in mathematics, which has gotten a lot of attention recently in combinatorics, algebraic geometry and related fields. It offers an an elementary introduction to this subject, touching upon Arithmetic, Polynomials, Curves, Phylogenetics and Linear Spaces. Each section ends with a suggestion for further research. The bibliography contains numerousreferences for further reading in this field.

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