【线性代数 Linear Algebra】2.5 迭代法解线性方程组 | Iterative Methods for Solving Linear Systems скачать в хорошем качестве

【线性代数 Linear Algebra】2.5 迭代法解线性方程组 | Iterative Methods for Solving Linear Systems

【线性代数 Linear Algebra】2.5 迭代法解线性方程组 | Iterative Methods for Solving Linear Systems 📚使用教材 Textbook： Linear Algebra: A Modern Introduction (4th Ed.), David Poole 📖全书章节大纲 Chapter List： Chapter 1: Vectors 向量 Chapter 2: Systems of Linear Equations 线性方程组 ✅️ Chapter 3: Matrices 矩阵 Chapter 4: Eigenvalues and Eigenvectors 特征值与特征向量 Chapter 5: Orthogonality 正交性 Chapter 6: Vector Spaces 向量空间 Chapter 7: Distance and Approximation 距离与逼近 Chapter 8: Codes 编码 (Online only) 大家好！这里是Daniel_清寒的频道 ☕️ 我目前正在韩国庆熙大学修读电子工程学专业。更新这个系列视频，主要是想把我自己啃这门课的过程记录下来，和大家做一个知识分享 💡 我并不是专业的老师，只是一名普通的留学生。在这个系列中，我将用大白话带大家一起过一遍我们上课用的英文原版教材。因为是同辈视角的边学边讲，我的资历尚浅，视频中如果出现讲错或者理解不到位的地方，敬请大家谅解，也特别欢迎大佬们在弹幕或评论区指正交流！🤝 🤔 为什么要用国外的英文原版教材来讲？ 相信很多经历过国内同济四版或六版线代教材的同学都有同感：一上来就抛出完全没见过的行列式公式，接着就是一通枯燥的矩阵运算，直到快结课了才慢悠悠地引入向量空间。很多同学学完一学期都一头雾水，光顾着算算算，根本不知道线性代数到底是干什么用的。 而这本英文原版教材的逻辑极其友好！它选择从我们高中就熟悉的“向量”入手，先帮你建立直观的几何画面，接着过渡到“线性方程组”，最后再顺理成章地引出矩阵、行列式这些纯粹的计算工具。这种从几何到代数的顺滑过渡，能让线代的学习变得极其直观清晰，让你真正理解各种神秘公式背后的底层逻辑！ Hello, everyone! This is Daniel_Qinghan’s channel ☕️ I’m currently studying electrical engineering at Kyung Hee University in South Korea. I’m creating this video series mainly to document my own journey through this course and share what I’ve learned with you all 💡 I’m not a professional instructor—just an ordinary international student. In this series, I’ll walk you through our original English-language textbook in plain, easy-to-understand language. Since I’m explaining things from a peer’s perspective while learning alongside you, I’m still a novice. Please forgive any mistakes or misunderstandings in the videos, and I especially welcome experts to correct me or discuss the material in the live chat or comments section! 🤝 🤔 Why use an original English-language textbook from abroad? I’m sure many of you who’ve gone through the 4th or 6th editions of Tongji University’s linear algebra textbooks can relate: the book starts by throwing at you determinant formulas you’ve never seen before, followed by a barrage of dry matrix operations, and only slowly introduces vector spaces near the end of the course. Many students finish the semester completely confused, spending all their time just doing calculations without ever understanding what linear algebra is actually used for. But the logic in this original English-language textbook is incredibly user-friendly! It starts with “vectors”—a concept we’ve been familiar with since high school—helping you build an intuitive geometric picture first, then transitions to “systems of linear equations,” and finally introduces matrices and determinants as purely computational tools in a natural progression. This smooth transition from geometry to algebra makes learning linear algebra incredibly intuitive and clear, allowing you to truly grasp the underlying logic behind all those mysterious formulas!