Lectures in Geometric Combinatorics - Couverture souple

Thomas, Rekha R.

 
9780821841402: Lectures in Geometric Combinatorics
Couverture souple
ISBN 10 : 0821841408 ISBN 13 : 9780821841402
Editeur : American Mathematical Society, 2006

Synopsis

This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration and its connections to the state polytope of the toric ideal defined by the configuration. These polytopes are relatively recent constructs with numerous connections to discrete geometry, classical algebraic geometry, symplectic geometry, and combinatorics.The connections rely on Grobner bases of toric ideals and other methods from commutative algebra. The book is self-contained and does not require any background beyond basic linear algebra. With numerous figures and exercises, it can be used as a textbook for courses on geometric, combinatorial, and computational aspects of the theory of polytopes.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2006
Langue
anglais
ISBN 10 
0821841408
ISBN 13 
9780821841402
Reliure
Broché
Nombre de pages
143
Coordonnées du fabricant
non disponible
Personne responsable
non disponible