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The Learning Experience Of Abstract Algebra

抽象代数学习心得

When I contacted with abstract algebra firstly,I felt like such a course was very difficult for me, because the material is written in English, each one strange English word brought me a lot of pressure. Especially in the class, I feel that I can't keep up with the teacher. Because before unstanding the definition during my study, I have to translate the English words back to the Chinese in my mind, so it greatly reduced the efficiency of my study and it has become one of the biggest difficulties in my learning abstract algebra.

当我刚开始接触抽象代数这么课程时,我感觉这么课程对我来说是很困难的,因为教材是全英文撰写的,一个个陌生的英语词汇给我带来了很大的压力。尤其在课堂上,我感觉我完全不能跟上老师思路。因为我在学习过程中在理解和思考定义之前,我必须将英文词汇的意思在脑海中翻译回中文,这样大大地降低了我学习的效率,因此成了我学习抽象代数中的最大困难之一。

When I was thinking about how to solve the difficulties, I think back to the reference books which the teacher had recommended to us, so I found some reference books about abstract algebra in the school library. After reading these books, they make me feel relaxed studying of abstract algebra. Because these reference books are in Chinese and they eliminated the ambiguity of understanding the definition or theorem which caused by I was not familiar with the English. Before class, I will see a Chinese reference book first, and then looking at the teaching material which written in English, it will make me feel much easier to understand the teaching material content.

在我思考怎样解决这个困难的时候,我回想到老师向我们推荐的参考书,于是我在学校图书馆找到了一些关于抽象代数的参考书。阅读这些参考书之后,使我感觉抽象代数的学习变得轻松了些,因为这些参考书是中文的,消除了因对英文的不熟悉而引起对定义或定理理解的歧义。在上课前的预习,我都会先看一次中文的参考书,再看全英的教材,使我感觉对教材上的内容的理解也变得轻松了些。

After two months of learning, I have learnt that abstract algebra is mainly doing researches on algebraic structure on the basic of the set and mapping. In the first chapter, we mainly study the definition and representation of sets, the relationship between the sets, the operation of set and mapping and so on. This is similar with that conten t of the advanced algebra. In the function study, we need to distinguish the injective, bijective and surjective clearly. And when the function f is both injective and surjective, which is elements of a set to elements of another set is one-to-one, so we can said that the function f is bijective, and it is the identical transformation of advanced algebra. We not only study the relationship between the sets, but also study the relationship between elements of a set, including the identity relationships and partition of a set.

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