Tropical Mathematics, Idempotent Analysis, Classical Mechanics and Geometry
Grigory L. Litvinov
TL;DR
This paper introduces tropical and idempotent mathematics, focusing on idempotent functional analysis, and explores their applications in classical mechanics and geometry.
Contribution
It provides an overview of tropical and idempotent mathematics with a focus on functional analysis and discusses their applications in classical mechanics and geometry.
Findings
Tropical mathematics offers new tools for classical mechanics.
Idempotent analysis connects algebraic structures with geometric concepts.
Applications demonstrate the utility of these mathematical frameworks in physics.
Abstract
A brief introduction to tropical and idempotent mathematics (with an emphasys on idempotent functional analysis) is presented. Applications to classical mechanics and geometry are especially examined.
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Taxonomy
TopicsAdvanced Topics in Algebra · Polynomial and algebraic computation · Homotopy and Cohomology in Algebraic Topology