Lectures in Geometric Combinatorics pdf epub mobi txt 电子书下载 2024

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Rekha R. Thomas

Amer Mathematical Society

2006-7-31

143

USD 29.00

Paperback

Student Mathematical Library

9780821841402

图书标签: 数学 Mathematics Geometry Combinatorics 计算机科学组合科普 in

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发表于2024-12-25

Lectures in Geometric Combinatorics epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Lectures in Geometric Combinatorics pdf epub mobi txt 电子书下载 2024

图书描述

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 Gröbner 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.

Lectures in Geometric Combinatorics 下载 mobi epub pdf txt 电子书