内蒙古工业大学学报(自然科学版)
內矇古工業大學學報(自然科學版)
내몽고공업대학학보(자연과학판)
JOURNAL OF INNER MONGOLIA UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE EDITION)
2013年
4期
250-252
,共3页
抽象群%对称群%二元运算
抽象群%對稱群%二元運算
추상군%대칭군%이원운산
abstract group%symmetry%binary operation
群是“抽象代数”中重要的代数系统,有广泛的应用。文章由三种感知上的对称---平面图形的对称、数域的对称和多项式的对称,引出了抽象群的定义,并将抽象群和对称群进行了比较,通过对比,可以看出由对称引出群这一做法形象直观,通俗易懂。
群是“抽象代數”中重要的代數繫統,有廣汎的應用。文章由三種感知上的對稱---平麵圖形的對稱、數域的對稱和多項式的對稱,引齣瞭抽象群的定義,併將抽象群和對稱群進行瞭比較,通過對比,可以看齣由對稱引齣群這一做法形象直觀,通俗易懂。
군시“추상대수”중중요적대수계통,유엄범적응용。문장유삼충감지상적대칭---평면도형적대칭、수역적대칭화다항식적대칭,인출료추상군적정의,병장추상군화대칭군진행료비교,통과대비,가이간출유대칭인출군저일주법형상직관,통속역동。
Group is the important algebraic system in abstract algebra , and it is widely used in many fields.The definition of abstract group is drawn by three kinds of perceptive symmetry , which are the symmetry of plane graphs , number field and polynomials .What's more, we can conclude that the teaching method of drawing group from symmetry is vivid and easy to be accepted by the students , through the comparison of abstract group and symmetry group .