Tropical mathematics, classical mechanics and geometry
G.L. Litvinov
TL;DR
This paper introduces tropical and idempotent mathematics and explores their applications in classical mechanics and geometry, highlighting new mathematical approaches to these fields.
Contribution
It provides a concise overview of tropical mathematics and demonstrates its relevance to classical mechanics and geometry, offering novel insights.
Findings
Tropical mathematics offers new tools for classical mechanics
Applications to geometry reveal novel structural insights
The approach simplifies complex mathematical problems
Abstract
A very brief introduction to tropical and idempotent mathematics is presented. Applications to classical mechanics and geometry are especially examined.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology