Lectures In Geometric Combinatorics
Download and Read Lectures In Geometric Combinatorics full books in PDF, ePUB, and Kindle. Read online free Lectures In Geometric Combinatorics ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Lectures in Geometric Combinatorics
Author | : Rekha R. Thomas |
Publisher | : American Mathematical Soc. |
Total Pages | : 156 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9780821841402 |
Download Lectures in Geometric Combinatorics Book in PDF, Epub and Kindle
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 statepolytope 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 fromcommutative 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.
Lectures in Geometric Combinatorics Related Books
Pages: 156
Pages: 705
Pages: 491
Pages: 179
Pages: 251