这里是一些我本科在哈尔滨工业大学数学系学习课程的笔记,这些笔记其实更多的是复习笔记,类似于复习提纲,着重于课程学习的框架和整体脉络逻辑,方便在期末复习的时候记忆内容和加深理解。
这里的笔记只是其中的一部分,有些课程我并没有做成系统的笔记或者复习提纲,所以并没有上传。在参考这些笔记的时候最好可以对照着课本,因为笔记中忽略了大部分的细节,想要扎实掌握一门课程还是仔细推进课本会比较好。
早起的一些笔记用纸笔写的然后扫描上传,后来换成了 iPad 和 Apple Pencil,观感可能会好一些。
Here are some notes about mathematical courses in my university (HIT), most of them were written in Chinese. I created these notes during final exam preparing periods.
Most notes may be simple but with the most important knowledge structure. I believe these notes would be useful in reviewing such courses, rather than learning.
Since mathematical formulas are hard to type (or not so convenient), I chose to complete them by writing, on paper or iPad. For those notes in paper, I scanned them and created pdfs.
Here are textbooks we used, hope to be useful for referencing.
Course | Course in Chinese | Author | ISBN |
---|---|---|---|
College Physics | 大学物理学 | 张三慧 et al. | 7302006407 |
Deep Learning | 深度学习 | Ian Goodfellow et al. | 9780262035613 |
Differential Geometry | 微分几何 | 陈维桓 | 9787301286548 |
Mathematical Analysis | 数学分析 | 陈纪修 | 703017835 |
Mathematical Physics Equation | 数学物理方程 | 王明新 | 730220618X |
Numerical Analysis | 数值分析 | 林成森 | 703016227 |
Operation Research | 运筹学 | 刘满凤 | 9787302229988 |
Partial Differential Equation | 偏微分方程 | 李荣华 | 7040307294 |
Real Analysis | 实变函数 | 郑维行 | 9787040292190 |
Topology | 拓扑学 | 熊金城 | 7040322374 |
Informational Theory | 信息论 | 沈世镒 et al. | 7040143747 |
Functional Analysis | 泛函分析 | 郑维行 | 9787040292190 |
Probability Analysis | 概率论 | 茆诗松 | 9787040312102 |