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.
發表於2025-03-03
Visual Group Theory 2025 pdf epub mobi 電子書 下載
圖書標籤: 數學 群論 Algebra Group 可視化 math 數理 教材
終於讀到瞭能看懂的群論,Cayley Diagram漂亮
評分不錯的書,淺顯易懂
評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)
評分網上有作者自己做的ppt課件,可以搜一下,簡單的地方看課件就行瞭,稍微需要思索的地方再看書,同時該書有配套的網站,對於常見的群的Cayley圖,子群,自循環圖等都有收錄,對初學者非常友好。最後,文章對於Calois theory 的介紹,非常通俗易懂。
評分網上有作者自己做的ppt課件,可以搜一下,簡單的地方看課件就行瞭,稍微需要思索的地方再看書,同時該書有配套的網站,對於常見的群的Cayley圖,子群,自循環圖等都有收錄,對初學者非常友好。最後,文章對於Calois theory 的介紹,非常通俗易懂。
Visual Group Theory 2025 pdf epub mobi 電子書 下載