From 37f4de79d33256ad8c88c9137f72cbe385bc8b00 Mon Sep 17 00:00:00 2001 From: cjhniu <2486265392@qq.com> Date: Wed, 6 May 2026 16:49:54 +0800 Subject: [PATCH 1/4] Create index.md MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 修改了md文件 --- .../index.md" | 49 +++++++++++++++++++ 1 file changed, 49 insertions(+) create mode 100644 "\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.md" diff --git "a/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.md" "b/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.md" new file mode 100644 index 0000000..6e5d2a6 --- /dev/null +++ "b/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.md" @@ -0,0 +1,49 @@ +--- +abbrs: + - 离散数学 +--- + +# 离散数学 +离散数学(Discrete mathematics)是数学的几个分支的总称,研究基于离散空间而不 +是连续的数学结构。与连续变化的实数不同,离散数学的研究对象——例如整数、图和数学逻辑中的命题——不是连续变化的,而是拥有不等、分立的值。 +因此离散数学不包含微积分和分析等“连续数学”的内容。 +随着计算机科学的飞速发展,离散数学的重要性则日益彰显。它为许多信息学课程提供了数学基础,包括数据结构、算法、数据库理论、形式语言与操作系统等。 +如果没有离散数学的相关数学基础,学生在学习上述课程中,便会遇到较多的困难。此外,离散数学也包含了解决运筹学、化学、工程学、生物学等众多领域的数学背景。 +由于运算对象是离散的,所以计算机科学的数学基础基本上也是离散的。我们可以说计算机科学的数学语言就是离散数学。 +人们会使用离散数学里面的概念和表示方法,来研究和描述计算机科学下所有分支的对象和问题,如电脑运算、编程语言、密码学、自动定理证明和软件开发等。 +相反地,计算机的应用使离散数学的概念得以应用于日常生活当中(如运筹学)。 + + +## 课程学习内容 + + + +| 内容 | 课件 | +| ------------------------ | -------------------------------------- | +| 命题逻辑初步 | [命题逻辑初步](第1讲:命题逻辑初步(2)_已压缩(1).pdf) | +| 命题逻辑的推理理论 | [命题逻辑的推理理论](第2讲:命题逻辑的推理理论(2)_已压缩(1).pdf) | +| 谓词逻辑引论 | [谓词逻辑引论](第3讲:谓词逻辑引论(2)_已压缩(1).pdf) | +| 证明方法概述 | [证明方法概述](第4讲:证明方法概述(1)_已压缩(1).pdf) | +| 集合论导引 | [集合论导引](第5讲:集合论导引(1)_已压缩(1).pdf) | +|二元关系 | [二元关系](第6讲:二元关系(1)_已压缩(1).pdf) | +| 关系的性质 | [关系的性质](第7讲:关系的性质(1)_已压缩(1).pdf) | +| 函数 | [函数](第8讲:函数(2)_已压缩(1).pdf) | +| 集合的基数 | [集合的基数](第9讲:集合的基数_已压缩(1).pdf) | +| 数学归纳法与递归结构 | [数学归纳法与递归结构](第10讲:数学归纳法与递归结构_已压缩(1).pdf) | +| 代数系统引论 | [代数系统引论](第11讲:代数系统引论_已压缩(1).pdf) | +| 群论导引 | [群论导引](第12讲:群论导引_已压缩(1).pdf) | +| 子群与群的分解 | [子群与群的分解](第13讲:子群与群的分解_已压缩(1).pdf) | +| 循环群与群同构 | [循环群与群同构](第14讲:循环群与群同构_已压缩(1).pdf) | +| 图论导引 | [图论导引](第15讲:图论导引_已压缩(1).pdf) | +| 图的连通性 | [图的连通性](第16讲:图的连通性_已压缩(1).pdf) | +| 欧拉图与哈密顿图 | [欧拉图与哈密顿图](第17讲:欧拉图与哈密顿图_已压缩(1).pdf) | +| 带权图与最短路 | [带权图与最短路](第18讲:带权图与最短路_已压缩(1).pdf) | +| 二部图及其匹配 | [二部图及其匹配](第19讲:二部图及其匹配_已压缩(1).pdf) | +| 树 | [树](第20讲:树_已压缩(1).pdf) | +| 根树与二叉树 | [根树与二叉树](第21讲:根树与二叉树_已压缩(1).pdf) | + +## 任课老师 +吴楠老师 + +## 开设学院 +人工智能学院 From 7f14da43ca35fc76b061e018d1934bec1a3d1c20 Mon Sep 17 00:00:00 2001 From: cjhniu <2486265392@qq.com> Date: Wed, 6 May 2026 16:50:59 +0800 Subject: [PATCH 2/4] =?UTF-8?q?Delete=20=E8=B7=A8=E4=B8=93=E4=B8=9A?= =?UTF-8?q?=E8=AF=BE/=E7=A6=BB=E6=95=A3=E6=95=B0=E5=AD=A6/index.html?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../index.html" | 49 ------------------- 1 file changed, 49 deletions(-) delete mode 100644 "\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.html" diff --git "a/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.html" "b/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.html" deleted file mode 100644 index 6e5d2a6..0000000 --- "a/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.html" +++ /dev/null @@ -1,49 +0,0 @@ ---- -abbrs: - - 离散数学 ---- - -# 离散数学 -离散数学(Discrete mathematics)是数学的几个分支的总称,研究基于离散空间而不 -是连续的数学结构。与连续变化的实数不同,离散数学的研究对象——例如整数、图和数学逻辑中的命题——不是连续变化的,而是拥有不等、分立的值。 -因此离散数学不包含微积分和分析等“连续数学”的内容。 -随着计算机科学的飞速发展,离散数学的重要性则日益彰显。它为许多信息学课程提供了数学基础,包括数据结构、算法、数据库理论、形式语言与操作系统等。 -如果没有离散数学的相关数学基础,学生在学习上述课程中,便会遇到较多的困难。此外,离散数学也包含了解决运筹学、化学、工程学、生物学等众多领域的数学背景。 -由于运算对象是离散的,所以计算机科学的数学基础基本上也是离散的。我们可以说计算机科学的数学语言就是离散数学。 -人们会使用离散数学里面的概念和表示方法,来研究和描述计算机科学下所有分支的对象和问题,如电脑运算、编程语言、密码学、自动定理证明和软件开发等。 -相反地,计算机的应用使离散数学的概念得以应用于日常生活当中(如运筹学)。 - - -## 课程学习内容 - - - -| 内容 | 课件 | -| ------------------------ | -------------------------------------- | -| 命题逻辑初步 | [命题逻辑初步](第1讲:命题逻辑初步(2)_已压缩(1).pdf) | -| 命题逻辑的推理理论 | [命题逻辑的推理理论](第2讲:命题逻辑的推理理论(2)_已压缩(1).pdf) | -| 谓词逻辑引论 | [谓词逻辑引论](第3讲:谓词逻辑引论(2)_已压缩(1).pdf) | -| 证明方法概述 | [证明方法概述](第4讲:证明方法概述(1)_已压缩(1).pdf) | -| 集合论导引 | [集合论导引](第5讲:集合论导引(1)_已压缩(1).pdf) | -|二元关系 | [二元关系](第6讲:二元关系(1)_已压缩(1).pdf) | -| 关系的性质 | [关系的性质](第7讲:关系的性质(1)_已压缩(1).pdf) | -| 函数 | [函数](第8讲:函数(2)_已压缩(1).pdf) | -| 集合的基数 | [集合的基数](第9讲:集合的基数_已压缩(1).pdf) | -| 数学归纳法与递归结构 | [数学归纳法与递归结构](第10讲:数学归纳法与递归结构_已压缩(1).pdf) | -| 代数系统引论 | [代数系统引论](第11讲:代数系统引论_已压缩(1).pdf) | -| 群论导引 | [群论导引](第12讲:群论导引_已压缩(1).pdf) | -| 子群与群的分解 | [子群与群的分解](第13讲:子群与群的分解_已压缩(1).pdf) | -| 循环群与群同构 | [循环群与群同构](第14讲:循环群与群同构_已压缩(1).pdf) | -| 图论导引 | [图论导引](第15讲:图论导引_已压缩(1).pdf) | -| 图的连通性 | [图的连通性](第16讲:图的连通性_已压缩(1).pdf) | -| 欧拉图与哈密顿图 | [欧拉图与哈密顿图](第17讲:欧拉图与哈密顿图_已压缩(1).pdf) | -| 带权图与最短路 | [带权图与最短路](第18讲:带权图与最短路_已压缩(1).pdf) | -| 二部图及其匹配 | [二部图及其匹配](第19讲:二部图及其匹配_已压缩(1).pdf) | -| 树 | [树](第20讲:树_已压缩(1).pdf) | -| 根树与二叉树 | [根树与二叉树](第21讲:根树与二叉树_已压缩(1).pdf) | - -## 任课老师 -吴楠老师 - -## 开设学院 -人工智能学院 From 3c82e330d986cddd7dfadf8420797579c9f80c47 Mon Sep 17 00:00:00 2001 From: cjhniu <2486265392@qq.com> Date: Wed, 6 May 2026 16:58:33 +0800 Subject: [PATCH 3/4] Update index.md MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 添加了往年卷 --- .../index.md" | 5 +++++ 1 file changed, 5 insertions(+) diff --git "a/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.md" "b/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.md" index 6e5d2a6..4feac29 100644 --- "a/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.md" +++ "b/\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/index.md" @@ -42,6 +42,11 @@ abbrs: | 树 | [树](第20讲:树_已压缩(1).pdf) | | 根树与二叉树 | [根树与二叉树](第21讲:根树与二叉树_已压缩(1).pdf) | +## 往年试卷 +|年份 | 试卷 | +|-------------------|------------------------| +|2024秋|[2024年秋期末试卷回忆版](离散24期末破碎记忆版2.pdf)| + ## 任课老师 吴楠老师 From 0a744d48c69081bd825b06d98ba749d7b2e0be34 Mon Sep 17 00:00:00 2001 From: cjhniu <2486265392@qq.com> Date: Wed, 6 May 2026 16:59:06 +0800 Subject: [PATCH 4/4] Add files via upload --- ...6\350\256\260\345\277\206\347\211\2102.pdf" | Bin 0 -> 853475 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 "\350\267\250\344\270\223\344\270\232\350\257\276/\347\246\273\346\225\243\346\225\260\345\255\246/\347\246\273\346\225\24324\346\234\237\346\234\253\347\240\264\347\242\216\350\256\260\345\277\206\347\211\2102.pdf" diff --git 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