Topology Without Tears
简介：
在数学中，拓扑与在连续变形下保留的几何对象的属性有关，例如拉伸，扭曲，折皱和弯曲; 也就是说，没有封闭孔，开孔，撕裂，粘合或穿过自身。一般拓扑是拓扑的分支，处理拓扑中使用的基本集合论定义和构造。它是大多数其他拓扑分支的基础，包括代数拓扑，微分拓扑，几何拓扑和拓扑代数。通用拓扑的另一个名称是点集拓扑，它是广泛的数学学科的主要语言，而代数拓扑则是研究几何和许多其他数学领域问题的强大工具。这样做的目的是提供通用拓扑的全面基础。它提供了一个理想的介绍拓扑的基本原理，并包括一系列的基础到中间的拓扑经验教训。
英文简介：
In mathematics, topology is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself.
General topology is the branch of topology dealing with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including algebraic topology, differential topology, geometric topology, and topological algebra.
Another name for general topology is point-set topology, is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics.
The aim of this is to provide a thorough grouding of general topology. It offers an ideal introduction to the fundamentals of topology, and consists of a series of basic to intermediate lessons in topology.
- 书名
- Topology Without Tears
- 译名
- 无泪拓扑
- 语言
- 英语
- 年份
- 2007
- 页数
- 729页
- 大小
- 8.51 MB
- 标签
- 数学
- 下载
Topology Without Tears.pdf- 密码
- 65536
最后更新：2025-04-12 23:54:40