图书标签: 数学 群论 Algebra Group 可视化 math 数理 教材
发表于2024-07-06
Visual Group Theory pdf epub mobi txt 电子书 下载 2024
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.
很赞,严重降低了group theory的入门难度,虽然还是有点难……特别是后面两章
评分每一位理工科高中毕业生在进入大学前必读的一本,彻底洗掉土著算术思维,跑步进入摩登时代。
评分网上有作者自己做的ppt课件,可以搜一下,简单的地方看课件就行了,稍微需要思索的地方再看书,同时该书有配套的网站,对于常见的群的Cayley图,子群,自循环图等都有收录,对初学者非常友好。最后,文章对于Calois theory 的介绍,非常通俗易懂。
评分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)
评分Chow Chow, you do sell mathematics in an elegant way. Hope I will be always someone to whom your mathematics is sellable.
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Visual Group Theory pdf epub mobi txt 电子书 下载 2024