Introduction to tropical geometry
By: Diane Maclagan, Bernd Sturmfels
Contributors: Sturmfels, Bernd, 1962-
Series: Graduate studies in mathematics -- volume 161
Publisher: American Mathematical Society
Published: 2015
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 363
ISBN-13: 9780821851982
Copyright date: 2015
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)
Other titles: Tropical geometry
Notes: Includes bibliographical references (pages 351-359) and index.