Title: Introduction to tropical geometry
Subjects: Tropical geometry, Study and teaching (Graduate), Algebraic Geometry, Algebraic geometry -- Tropical geometry -- Tropical geometry, Combinatorics -- Designs and configurations -- Matroids, geometric lattices, Field theory and polynomials -- Topological fields -- Non-Archimedean valued fields, Commutative algebra -- Computational aspects and applications -- Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra, Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Max-plus and related algebras, Convex and discrete geometry -- Polytopes and polyhedra -- Lattice polytopes (including relations with commutative algebra and algebraic geometry), Geometry, algebraic