群论概论Introduction to group theory |
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课程网址: | https://www.open.edu/openlearn/science-maths-technology/introduct... |
主讲教师: | 信息不详。欢迎您在右侧留言补充。 |
开课单位: | 信息不详。欢迎您在右侧留言补充。 |
开课时间: | 2017-12-08 |
课程语种: | 英语 |
中文简介: | 这门免费课程是对群论的介绍,群论是纯数学的三个主要分支之一。第1节着眼于二维图形的对称集,然后将其视为函数。第2节介绍了记录对称和计算对称的复合和逆的代数符号。第3节介绍了定义,并介绍了如何检查组的公理。第4节将讨论如何证明已经研究过的群的某些性质是所有群共有的一般性质。第5节将对称的概念扩展到三维空间。 |
课程简介: | This free course is an introduction to group theory, one of the three main branches of pure mathematics. Section 1 looks at the set of symmetries of a two-dimensional figure which are then viewed as functions. Section 2 introduces an algebraic notation for recording symmetries and calculating composites and inverses of symmetries. Section 3 introduces definitions and looks at how to check axioms for a group. Section 4 looks at how to prove that some properties of groups already looked at are general properties shared by all groups. Section 5 extends the ideas of symmetry to three-dimensions. |
关 键 词: | 二维图形; 群的一般性质; 三维空间 |
课程来源: | 英国开放大学 |
数据采集: | 2024-10-26:zsp |
最后编审: | 2024-10-26:zsp |
阅读次数: | 4 |