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

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Rekha R. Thomas 作者

Amer Mathematical Society

译者

2006-7-31 出版日期

143 页数

USD 29.00 价格

Paperback

Student Mathematical Library 丛书系列

9780821841402 图书编码

Lectures in Geometric Combinatorics 在线电子书图书标签: 数学 Mathematics Geometry Combinatorics 计算机科学组合科普 in

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

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Lectures in Geometric Combinatorics 在线电子书著者简介

Rekha R. Thomas: University of Washington, Seattle, WA

Lectures in Geometric Combinatorics 在线电子书图书目录

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

Lectures in Geometric Combinatorics 在线电子书图书描述

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.

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