★★★★★★★★★★★★★★★★
本站购无需注册点击“立即支付”自助支付宝二维码扫描付费后，等待10s页面自动刷新（手机端需先按返回键回到本页面，再自行手动刷新网页）显示下载链接！不推荐edge等太高级的浏览器下载链接会阻拦，推荐迅雷、IDM等工具！如果有问题请在页面底部留言留邮箱反馈！部分带OCR版本的pdf书可以复制文字或搜索内容。下载帮助：点击这里
★★★★★★★★★★★★★★★★
对本站的直接交易方式不放心？你可以花1元购买美女短视频体验交易流程：点击这里，或者花2元预览资源截图或电子书内页：点击这里
PDF扫描版和图文版的区别，以及其他Word、mobi、txt、epub、azw3等各种电子版格式的选择：点击这里
★★★★★★★★★★★★★★★★
本站电子书采用zip或rar压缩包文件，设置统一解压密码，请这里获取密码（另付50元）：点击这里
建议一次性批量采购购买10本电子书以充分利用解压密码！！！
文件大小：109.73 MB 吴文俊全集-数学机械化卷 Ⅱ
下载地址：
吴文俊全集(数学机械化卷Ⅱ)(精)
作者:吴文俊出版社:龙门书局出版时间:2019年05月
开 本：16开
纸 张：胶版纸
包 装：平装-胶订
是否套装：否
国际标准书号ISBN：9787508855516
所属分类：
图书>自然科学>数学>应用数学
内容简介
本卷收录了吴文俊的Mechanical Theorem Proving in Geometries:Basic Principles 一书。 书中论述初等几何机器证明的基本原理, 证明了奠基于各种公理系统的各种初等几何, 只需相当于乘法交换律的某一公理成立, 大都可以机械化。 因此在理论上, 这些几何的定理证明可以借肋于计算机来实施。
可以机械化的几何包括了多种有序或无序的常用几何、投影几何、非欧几何与圆几何等。 全书共分六章。 前两章是关于几何机械化的预备知识, 集中介绍了常用几何; 后四章致力于几何的机械化问题。 第3 章为几何定理证明的机械化与Hilbert 机械化定理, 第4, 5 章分别为(常用)无序几何的机械化定理和(常用)有序几何的机械化定理, 第6 章阐述各种几何的机械化定理。 本书可供数学工作者和计算机科学工作者以及高等院校有关专业的师生参考。
目 录
Author’s note to the English-language edition
1 Desarguesian geometry and the Desarguesian number system
1.1 Hilbert’s axiom system of ordinary geometry
1.2 The axiom of infinity and Desargues’ axioms
1.3 Rational points in a Desarguesian plane
1.4 The Desarguesian number system and rational number subsystem
1.5 The Desarguesian number system on a line
1.6 The Desarguesian number system associated with a Desarguesian plane
1.7 The coordinate system of Desarguesian plane geometry
20rthogonal geometry, metric geometry and ordinary geometry
2.1 The Pascalian axiom and commutative axiom of multiplication- (unordered) Pascalian geometry
2.20 rthogonal axioms and (unordered) orthogonal geometry
2.3 The orthogonal coordinate system of (unordered) orthogonal geometry
2.4 (Unordered) metric geometry
2.5 The axioms of order and ordered metric geometry
2.6 Ordinary geometry and its subordinate geometries
3 Mechanization of theorem proving in geometry and Hilbert’s mechanization theorem
3.1 Comments on Euclidean proof method
3.2 The standardization of coordinate representation of geometric concepts
3.3 The mechanization of theorem proving and Hilbert’s mechanization theorem about pure point of intersection theorems in Pascalian geometry
3.4 Examples for Hilbert’s mechanical method
3.5 Proof of Hilbert’s mechanization theorem
4 The mechanization theorem of (ordinary) unordered geometry
4.1 Introduction
4.2 Factorization of polynomials
4.3 Well-ordering of polynomial sets
4.4 A constructive theory of algebraic varieties -irreducible ascending sets and irreducible algebraic varieties
4.5 A constructive theory of algebraic varieties -irreducible decomposition of algebraic varieties
4.6 A constructive theory of algebraic varieties -the notion of dimension and the dimension theorem
4.7 Proof of the mechanization theorem of unordered geometry
4.8 Examples for the mechanical method of unordered geometry
5 Mechanization theorems of (ordinary) ordered geometries
5.1 Introduction
5.2 Tarski’s theorem and Seidenberg’s method
5.3 Examples for the mechanical method of ordered geometries
6 Mechanization theorems of various geometries
6.1 Introduction
6.2 The mechanization of theorem proving in projective geometry
6.3 The mechanization of theorem proving in Bolyai-Lobachevsky’s hyperbolic non-Euclidean geometry
6.4 The mechanization of theorem proving in Riemann’s elliptic non-Euclidean geometry
6.5 The mechanization of theorem proving in two circle geometries
6.6 The mechanization of formula proving with transcendental functions
References
Subject index
本文链接：
https://down.jingjiufu.com/book-00064-04.html