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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应该放在大一上导论课程，甚至高中学是最好的了。其实高教不也有本《对称与群》么，没看过无法比较好坏，二者的目的是一样的。可作为一个普通高中生，恐怕只有高考考的知识才叫知识吧，那时真是无知阿…
评分这个可以多读几遍强化理解，千万不能当教材
评分这个可以多读几遍强化理解，千万不能当教材
评分超级棒！非常典型的美式教材，不算特别难但是有非常多的例子。主要用几种图示，Cayley diagram/multiplication table/Hasse diagram，把群论最基础的部分都可视化了，包括几种典型群、同构基本定理和西罗定理等等。最后一章简单地提到了Galois理论，真的，真的太有助于理解了。。。有蛮丰富的习题，部分习题配了提示，自己看的时候可以把有提示的题都做一遍不会的看提示
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。
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