Lectures in Geometric Combinatorics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Rekha R. Thomas 作者

Amer Mathematical Society

譯者

2006-7-31 出版日期

143 頁數

USD 29.00 價格

Paperback

Student Mathematical Library 叢書系列

9780821841402 圖書編碼

Lectures in Geometric Combinatorics 在線電子書圖書標籤: 數學 Mathematics Geometry Combinatorics 計算機科學組閤科普 in

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Lectures in Geometric Combinatorics 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Lectures in Geometric Combinatorics 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Lectures in Geometric Combinatorics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Lectures in Geometric Combinatorics 在線電子書著者簡介

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

Lectures in Geometric Combinatorics 在線電子書著者簡介

Lectures in Geometric Combinatorics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Lectures in Geometric Combinatorics 在線電子書圖書描述

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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