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.
具體描述
讀後感
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用戶評價
超級棒！非常典型的美式教材，不算特彆難但是有非常多的例子。主要用幾種圖示，Cayley diagram/multiplication table/Hasse diagram，把群論最基礎的部分都可視化瞭，包括幾種典型群、同構基本定理和西羅定理等等。最後一章簡單地提到瞭Galois理論，真的，真的太有助於理解瞭。。。有蠻豐富的習題，部分習題配瞭提示，自己看的時候可以把有提示的題都做一遍不會的看提示
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。
评分超級棒！非常典型的美式教材，不算特彆難但是有非常多的例子。主要用幾種圖示，Cayley diagram/multiplication table/Hasse diagram，把群論最基礎的部分都可視化瞭，包括幾種典型群、同構基本定理和西羅定理等等。最後一章簡單地提到瞭Galois理論，真的，真的太有助於理解瞭。。。有蠻豐富的習題，部分習題配瞭提示，自己看的時候可以把有提示的題都做一遍不會的看提示
评分雖然一開始就上凱利圖確實不太適應我的思維習慣，但如是第一本就看它就很不錯哦；(另:入瞭formal的坑三年纔搞清大緻概況，還沒入坑的同學慎入，有太多數學工具需要補；突然懷念起以前簡簡單單有明確邊界的工作，但入瞭此坑後無論是db還是compiler領域都無法讓我興奮。。。；)
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