首页几何学
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几何

Geometry
课程网址: http://oer.avu.org/handle/123456789/54  
主讲教师: Cherinda; Marcos
开课单位: 非洲虚拟大学
开课时间: 2010-12-16
课程语种: 英语
中文简介:
由Marcos Cherinda撰写的几何模块。 “几何模块”首先着眼于人类几个世纪以来所聚集的知识的历史发展,大约在公元前300年,由于欧几里德的篦力工作,这个数学学科称为欧几里德几何学。通过研究你自己关于几何物体和属性的猜想,可以发展出这个主题特征的归纳演绎推理。您将使用基本的机械仪器(罗盘和直尺)和计算机软件探索几何。随着您的进步,您将使用参考系统处理欧几里德几何以定位点。您从中学就已经知道的正交笛卡尔坐标系是您将在二维和三维中使用的最常见的参考系。您还将学习一些其他坐标系统,这些系统将使您能够在几何学和其他数学模块中进行研究。在深入分析欧几里德几何的公理结构时,您将学习新的几何结构,通常称为非欧几里德几何。因此,简而言之,本单元是关于以句法和分析方式处理的欧几里德几何,并附有非欧几里德几何的介绍,仅合成处理。
课程简介: Geometry Module authored by Marcos Cherinda. The Module on Geometry starts by looking at the historical development of knowledge that the humankind gather along centuries and became later, about 300 BC, the mathematical subject called Euclidian Geometry because of the grate work of Euclid. The inductive-deductive reasoning which characterizes this subject will be developed through investigation of your own conjectures on geometric objects and properties. You will explore geometry by using basic mechanical instruments (compass and straightedge) and computer software. As you progress you will treat the Euclidian geometry using a referential system to locate points. The orthogonal Cartesian system of coordinates that you already know from secondary school is the most common referential system you will use in both two and three dimensions. You will also learn some other systems of coordinates that will empower you to do research in geometry and in other mathematical modules as well. Going deeper in analysing the axiomatic construction of Euclidean geometry you will learn new geometrical structures, generally designated as Non-Euclidian geometry. So, summarily speaking, this Module is about Euclidean geometry treated in both syntactical and analytical ways and encloses an introduction to Non-Euclidean Geometry, handled synthetically only.
关 键 词: 欧氏几何; 机械工具; 计算机软件; 数学
课程来源: 非洲虚拟大学公开课
最后编审: 2020-10-01:yumf
阅读次数: 40