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.
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這個可以多讀幾遍強化理解，韆萬不能當教材
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)
评分終於讀到瞭能看懂的群論，Cayley Diagram漂亮
评分Chow Chow, you do sell mathematics in an elegant way. Hope I will be always someone to whom your mathematics is sellable.
评分這個可以多讀幾遍強化理解，韆萬不能當教材
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