Visual Group Theory pdf epub mobi txt 电子书下载 2025

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Nathan Carter

The Mathematical Association of America

2009-5-12

297

USD 71.95

Hardcover

9780883857571

图书标签: 数学群论 Algebra Group 可视化 math 数理教材

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发表于2025-02-09

Visual Group Theory epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2025

Visual Group Theory pdf epub mobi txt 电子书下载 2025

图书描述

Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts. But its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective.

The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Visual Group Theory 下载 mobi epub pdf txt 电子书

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Visual Group Theory pdf epub mobi txt 电子书下载

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用户评价

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写的非常适合自学，后面两章sylow 定理和Galois定理仍然不好读。。

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Group theory is not primarily about numbers, but rather about patterns and symmetry; something the Rubik's Cube possesses in abundance.The offcial name of the type of group road map that we have just created is Cayley diagram。

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每个群元既可以看做元素，也可以看做从单位元到它的一种操作。右乘一个群元就是按从单位元到该群元的操作运行一次，右乘一个群就是把群的结构搬到新位置，左乘就按“被”右乘理解。正式学群论之前都该读这本书啊，没有凯利图光凭抽象代数是不可能形成对群基本结构的直观概念的，不过新问题是，凯利图是用对称性来解释对称性，群论的上位学科莫非是拓扑学？以及关键的群表示什么的凯利图管不了，还是学不懂啊(掩面)

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应该放在大一上导论课程，甚至高中学是最好的了。其实高教不也有本《对称与群》么，没看过无法比较好坏，二者的目的是一样的。可作为一个普通高中生，恐怕只有高考考的知识才叫知识吧，那时真是无知阿…

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