├── Chapter 10 二元空间，二元性.md ├── Chapter 11 欧几里得空间.md ├── Chapter 12 任意矩阵的二维分解.md ├── Chapter 13 埃尔米特空间.md ├── Chapter 14 特征向量和特征值.md ├── Chapter 15 单位四元数和SO（3）中的旋转.md ├── Chapter 16 欧几里得空间和厄米特空间的谱定理.md ├── Chapter 17 边值问题的变分近似；有限元法简介.md ├── Chapter 18 图形和拉普拉斯图形.基本事实.md ├── Chapter 19 光谱图绘制.md ├── Chapter 2 群，环和域.md ├── Chapter 20 奇异值分解与极性形式.md ├── Chapter 21 支持向量机和伪逆的应用.md ├── Chapter 22 计算特征值和特征向量.md ├── Chapter 23 仿射几何基础.md ├── Chapter 24 在向量空间中嵌入仿射空间.md ├── Chapter 25 射影几何基础.md ├── Chapter 26 卡坦-狄翁定理.md ├── Chapter 27 埃尔米特空间等距图.md ├── Chapter 28 双线性形式的几何；维特定理；卡坦-迪乌登定理.md ├── Chapter 29 多项式、理想和PID.md ├── Chapter 3 向量空间，基，线性映射.md ├── Chapter 30 湮灭多项式与一次分解.md ├── Chapter 31 UFD，诺特环，希尔伯特基定理.md ├── Chapter 32 张量代数和对称代数.md ├── Chapter 33 外张量幂与外代数.md ├── Chapter 34 模块简介；PID上的模块.md ├── Chapter 35 有理规范形和其他规范形.md ├── Chapter 36 拓扑.md ├── Chapter 37 关于分形的绕道.md ├── Chapter 38 微分学.md ├── Chapter 39 实值函数的极值.md ├── Chapter 4 矩阵和线性映射.md ├── Chapter 40 牛顿方法及其推广.md ├── Chapter 41 二次优化问题.md ├── Chapter 42 舒尔补充与应用.md ├── Chapter 43 凸集，锥，H多面体.md ├── Chapter 44 线性程序.md ├── Chapter 45 单体法.md ├── Chapter 46 线性规划与对偶.md ├── Chapter 47 希尔伯特空间基础.md ├── Chapter 48 优化理论的一般结果.md ├── Chapter 49 非线性优化导论.md ├── Chapter 5 直和.md ├── Chapter 50 凸函数的次梯度和次微分.md ├── Chapter 51 双上升法.md ├── Chapter 52 岭回归和套索回归.md ├── Chapter 53 正定核.md ├── Chapter 54 软边界支持向量机.md ├── Chapter 6 行列式.md ├── Chapter 7 高斯消元，LU分解，Cholesky分解，减少行梯形形式.md ├── Chapter 8 向量范数和矩阵范数.md ├── Chapter 9 求解线性系统的迭代法.md ├── Gallier_Quaintance_Algebra, Topology, Differential Calculus, and Optimization Theory For Computer.pdf ├── README.md └── 附录.md /Chapter 10 二元空间，二元性.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 10 二元空间，二元性.md -------------------------------------------------------------------------------- /Chapter 11 欧几里得空间.md: 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/Chapter 17 边值问题的变分近似；有限元法简介.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 17 边值问题的变分近似；有限元法简介.md -------------------------------------------------------------------------------- /Chapter 18 图形和拉普拉斯图形.基本事实.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 18 图形和拉普拉斯图形.基本事实.md -------------------------------------------------------------------------------- /Chapter 19 光谱图绘制.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 19 光谱图绘制.md 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在向量空间中嵌入仿射空间.md -------------------------------------------------------------------------------- /Chapter 25 射影几何基础.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 25 射影几何基础.md -------------------------------------------------------------------------------- /Chapter 26 卡坦-狄翁定理.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 26 卡坦-狄翁定理.md -------------------------------------------------------------------------------- /Chapter 27 埃尔米特空间等距图.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 27 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有理规范形和其他规范形.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 35 有理规范形和其他规范形.md -------------------------------------------------------------------------------- /Chapter 36 拓扑.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 36 拓扑.md -------------------------------------------------------------------------------- /Chapter 37 关于分形的绕道.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wnma3mz/trans-Algebra-Topology-Di-erential-Calculus-and-Optimization-Theory-For-CS/HEAD/Chapter 37 关于分形的绕道.md -------------------------------------------------------------------------------- /Chapter 38 微分学.md: 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