Introduction to Tropical Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Diane Maclagan 作者

American Mathematical Society

译者

2015-4-15 出版日期

363 页数

USD 79.00 价格

Hardcover

Graduate Studies in Mathematics 丛书系列

9780821851982 图书编码

Introduction to Tropical Geometry 在线电子书图书标签: 数学

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发表于2024-11-27

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Introduction to Tropical Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Introduction to Tropical Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Introduction to Tropical Geometry 在线电子书著者简介

Diane Maclagan: University of Warwick, Coventry, United Kingdom,

Bernd Sturmfels: University of California, Berkeley, Berkeley, CA

Introduction to Tropical Geometry 在线电子书图书目录

Introduction to Tropical Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Introduction to Tropical Geometry 在线电子书图书描述

Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum. This turns polynomials into piecewise-linear functions, and their zero sets into polyhedral complexes. These tropical varieties retain a surprising amount of information about their classical counterparts.

Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics.

This book offers a self-contained introduction to tropical geometry, suitable as a course text for beginning graduate students. Proofs are provided for the main results, such as the Fundamental Theorem and the Structure Theorem. Numerous examples and explicit computations illustrate the main concepts. Each of the six chapters concludes with problems that will help the readers to practice their tropical skills, and to gain access to the research literature.

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