## 群在高等数学中的应用

Groups in Higher Mathematics
Abstract：Group is one of the important concepts of modern mathematics, and its emergence and development, is a microcosm of the development of modern
mathematical abstractions. Development of modern mathematics and has a great role in promoting. Based on the basic theory of groups, such as the concept paper group and classification of permutation group, cyclic group, etc, and through the application, for example, gives the group a systematic application of polynomial functions, vectors and other aspects of mathematics plays a more important role to play in dealing with practical problems.
Key words：Permutation group; Symmetry transformation group; Cyclic group; Rotation group

1.群的基本理论    3
2.群的应用    4
2.1 群在多项式中的应用    5
2.2 群在函数中的应用    5
2.3 群在向量中的应用    6
2.4 群在对称图形中的应用    6
2.5 群在计数问题中的应用    8
2.6 群在数学模型中的应用    10
2.7 群在一阶微分方程中的应用    13

1.群的基本理论
定义1.1 如果非空集合 有代数运算 满足以下条件: 群在高等数学中的应用:http://www.lwfree.cn/shuxue/20171010/14494.html
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