Visual Group Theory pdf epub mobi txt 電子書 下載2025
- 數學
- 群論
- Algebra
- Group
- 可視化
- math
- 數理
- 教材
- 數學
- 群論
- 可視化
- 抽象代數
- 圖形化學習
- 理論數學
- 群錶示
- 對稱性
- 代數結構
- 教育工具
具體描述
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.
著者簡介
圖書目錄
讀後感
評分
評分
評分
評分
用戶評價
終於讀到瞭能看懂的群論，Cayley Diagram漂亮
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。
评分每個群元既可以看做元素，也可以看做從單位元到它的一種操作。右乘一個群元就是按從單位元到該群元的操作運行一次，右乘一個群就是把群的結構搬到新位置，左乘就按“被”右乘理解。正式學群論之前都該讀這本書啊，沒有凱利圖光憑抽象代數是不可能形成對群基本結構的直觀概念的，不過新問題是，凱利圖是用對稱性來解釋對稱性，群論的上位學科莫非是拓撲學？以及關鍵的群錶示什麼的凱利圖管不瞭，還是學不懂啊(掩麵)
评分很贊，嚴重降低瞭group theory的入門難度，雖然還是有點難……特彆是後麵兩章
评分還有最後兩章節沒讀完，最近可能沒時間讀瞭。但是這本書真的很直觀，作者很nice。
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