Lectures in Geometric Combinatorics is popular PDF and ePub book, written by Rekha R. Thomas in 2006, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures in Geometric Combinatorics can be Read Online from any device for your convenience.
Lectures in Geometric Combinatorics Book PDF 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 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.
Detail Book of Lectures in Geometric Combinatorics PDF
- Author : Rekha R. Thomas
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 0821841408
- Genre : Mathematics
- Total Page : 156 pages
- Language : English
- PDF File Size : 20,6 Mb
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