Visual Group Theory pdf epub mobi txt 电子书 下载 2025
- 数学
- 群论
- Algebra
- Group
- 可视化
- math
- 数理
- 教材
- 数学
- 群论
- 可视化
- 抽象代数
- 图形化学习
- 理论数学
- 群表示
- 对称性
- 代数结构
- 教育工具
具体描述
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.
作者简介
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用户评价
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。
评分很赞，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
评分写的非常适合自学，后面两章sylow 定理和Galois定理仍然不好读。。
评分还有最后两章节没读完，最近可能没时间读了。但是这本书真的很直观，作者很nice。
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