Euclidean Plane and its Relatives: A Minimalist Introduction
简介：
这本书是为几何学基础的一学期课程而设计的，旨在严谨，保守，基本和极简主义。本书的内容基于欧几里得关于平面几何的五个假设和最常见的定理。它促进了开发逻辑证明的艺术和技能。大多数定理都提供了详细的证明。
欧几里得几何: 公理/半平面/全等三角形/垂直线/相似三角形/平行线/三角形几何。反演几何: 内接角/反演。非欧几何: 中性平面/双曲平面/h平面几何。其他主题: 仿射几何/射影几何/球面几何/射影模型/复坐标/几何构造/面积。
英文简介：
The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist.
The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs.
Euclidean geometry: The Axioms / Half-planes / Congruent triangles / Perpendicular lines / Similar triangles / Parallel lines / Triangle geometry.Inversive geometry: Inscribed angles / Inversion.Non-Euclidean geometry: Neutral plane / Hyperbolic plane / Geometry of h-plane.Additional topics: Affine geometry / Projective geometry / Spherical geometry / Projective model / Complex coordinates / Geometric constructions / Area.
- 书名
- Euclidean Plane and its Relatives: A Minimalist Introduction
- 译名
- 欧氏平面及其相关概念：简单介绍
- 语言
- 英语
- 年份
- 2023
- 页数
- 197页
- 大小
- 2.66 MB
- 下载
Euclidean Plane and its Relatives: A Minimalist Introduction.pdf- 密码
- 65536
最后更新：2025-04-12 23:57:44