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所在平台: Udemy |
课程主页: https://www.udemy.com/course/topology-of-mathematics/
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课程名称：数学拓扑学 课程概述：本课程通过超过7.5小时的视频教程，逐步讲解数学的拓扑学，旨在帮助学生成为该领域的专业人士。该课程为高水平数学课程，面向全球不同大学的中级学生，要求学员具备基本的数学知识。课程内容独特，重点在于构造数学的不同拓扑模型，拓扑学被定义为数学的扭曲分析，是功能分析的一个分支。我们将深入探讨各种数学概念的扭曲分析，适合热衷于探索新数学概念的学生。 课程包含7个章节的内容，所有视频均在书写平板上录制，提供高清数字内容。每一概念都通过示例进行详细解释，逐步证明不同的定理。建议学员在观看视频时准备笔记本和铅笔，及时记下每节课的重要概念。 课程内容包括： - 拓扑学定义 - 拓扑学实例 - 离散与非离散拓扑 - 粗拓扑与细拓扑 - 子空间的定义与示例 - 拓扑中的定理 - 开集与闭集 - 拓扑中集合的闭包 - 拓扑中的稠密集 - 拓扑中的邻域概念 - 极限点、内点与外点 - 及其他相关内容 本课程是数学爱好者非常渴望学习的课程，以基础知识为起点，循序渐进，深入到高级内容。
< Step-by-step explanation of more than 7.5 hours of video lessons on the Topology of Mathematics>How to become a pro in the topology of mathematics?This is a high-level mathematics course in the topology of mathematics that is being taught to intermediate-level students in different universities around the world. The course requires basic knowledge of mathematics before enrolling. it is actually, a totally different and unique course in mathematics. We will construct the different topological models of mathematics in this course. By definition, the Topology of Mathematics is actually the twisting analysis of mathematics. Moreover, the topology of mathematics is a high-level math course that is the sub-branch of functional analysis.We shall discuss the twisting analysis of different mathematical concepts. The course is highly perfect for those who want to explore new concepts in mathematics. We shall start from the basics to advance in this course. Most students which are math lovers demand this course many times and that's why I have constructed this course.There is a total of 7 sections in this course of 7.5 hours of videos contents. All the videos have been captured on a writing tablet and contain high-definition digital content. We shall discuss every concept with examples and prove the different theorems step by step in a detailed way.I shall just suggest that, if you have a notebook and pencil during watching the videos, they must note the important concepts during each lecture. The contents of this course are............Definition of TopologyExamples of TopologyDiscrete and In Discrete TopologyCoarser and Finer TopologyDefinition and Examples of SubspaceTheorems in TopologyOpen SetsClosed SetsClosure of a Set in TopologyDense Set in TopologyNeighborhood Concept in TopologyLimit PointInterior and Exterior PointAnd much more
