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数学和右脑计算机按恩格斯的提法,数学是研究客观世界中数量关系和空间形式的科学。当然数和形不能绝然分开,但在具体问题上有所侧重。纵观数学发展史,粗线条来看,数学是由两大分支派生出来的。一支是代数—分析数学(AAM),另一支是几何一拓扑数学(GTM)。前者研究数量关系而后者研究空间形式,两者似乎是各自独立地发展的,到了16世纪,笛卡尔建立坐标系,用方程式描述几何形体,创立解析几何学,开始把这两大分支有机地联系起来。现代数学中,这两大支之间的交互影响越来越大(表2),也越来越不可分割了。数学虽是研究客观世界中的
Mathematics and right-brain computers According to Engels, mathematics is a science that studies the quantitative relations and the spatial forms of the objective world. Of course, the number and shape can not be absolutely separated, but on the specific issues have focused. Throughout the history of mathematics, broad terms, mathematics is derived from the two major branches. One is algebra - analytical mathematics (AAM) and the other is geometry - topological mathematics (GTM). The former studied quantitative relations while the latter studied spatial forms, both of which seemed to develop independently. By the 16th century Cartesian established coordinate systems, described geometries as equations, established analytic geometry and began to organically relate these two branches stand up. In modern mathematics, the interaction between these two branches is more and more significant (Table 2) and is increasingly inseparable. Although mathematics is the study of the objective world