Lectures in geometric combinatorics
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 tor…
Read More ↓Title Statements
- Full title :Lectures in geometric combinatorics / Rekha R. Thomas.
Summary
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.
Read More ↓Edition Statements
- Publication Date:©2006.
Publication Statements
- Publisher(s):American mathematical Society, Institute for Advanced Study
- Place of Publication:Providence, RI
- Language:eng
- Publication Date:©2006.
The Physical Object
- Description:1 online resource (viii, 143 pages) : : illustrations
Edition Identifiers
- ISBN:1470421445, 9781470421441
- oclc:ocn934424573
- LC Classification:QA167
- Dewey Decimal:516/.13
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