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BS-NJU-Course-Review-Mathematics
- 数理统计 1.0
… the fundamental difference between probability and statistics: the former concerns predictions based on fixed probabilities; the latter concerns the inference of those probabilities based on observed data. –The drunkard’s walk, Leonard Mlodinow
- 概率论 1.0
用概率描述的目的来源于对事实的不确定性。理论上，可以根据我们对（并不完全的认识的）事实给出一件事发生的（可能并不准确的）概率，用于权衡利弊。这个概率的真实性需要通过这个事件实际发生的频率核实。当我们关于事实的知识改变时，可能这个理论上的概率值也将改变。在 (En) Machine Learning 和之后的 (En) Information Theory 中，将会有更深的体会。
- 数学物理方程 1.0
数学物理方程主要是指物理学的一个分支——数学物理所涉及的偏微分方程，有时也包括相关的积分方程、微分积分方程。
- 复变函数 1.0
Complex analysis studies analytic functions; this is a major restriction on the type of functions studied, leading to the fact that analytic functions have many amazing and useful properties. – Garrity, All the math you need to know…
- 线性代数 1.0
如无特殊说明，本篇在实数域讨论。作为时间顺序上的第一篇，我在此规定整个网站的符号规范：标量用 $a$，矢量用 $\vec a$（并且是物理学家喜欢的列矢量），矩阵用 $\mathbf a$，二阶张量用 $\overleftrightarrow{a}$。和量子力学中的算符无关！但是，如果只是出现了 $a$，可能是广义上的张量，不一定是标量。区分的原因：笨人太笨，经常连谈论的是几阶张量都想不清楚。
- 微积分 1.0
Stokes’ Theorem, in all of its many manifestations, comes down to equating the average of a function on the boundary of some geometric object with the average of its derivative (in a suitable sense) on the interior of the object. — Chapter 5, All the Math you Missed…
BS-NJU-Course-Review-Other
- 计算物理 1.0
你甚至可以用 python 画浮世绘。
- (En) Systems Biology
This course led us to understand research papers in this field by teaching us the crucial math involved.
- (En) Nonlinear Dynamics
…
- 大学化学
《大学化学》是一门鸡肋的水课，学了将近两个月的配位化学，只是觉得崩溃，对于有机物的介绍也停留在给老年人科普的科学水平，需要记忆的枯燥知识点远比带来的知识体系提升更多。
BS-NJU-Course-Review-Physics
- 统计物理 1.0
Ludwig Boltzmann, who spent much of his life studying Statistical Mechanics, died in 1906, by his own hand. Paul Ehrenfest, carrying on the work, died similarly in 1933. Now it is our turn to study Statistical Mechanics. Perhaps it will be wise to approach the subject cautiously. –in States of Matter, by David. L. Goodstein, 1975, Dover N.Y.
- 近代物理
任课老师是好老师，但不妨碍课是门烂课，学了不如不学，不如自学。所以我们接着自学 Griffiths（引用体内为 Griffiths）。
- 量子力学 1.0
I think I can safely say that nobody understands quantum mechanics.–Richard Feynman
- 理论力学 1.0
分析力学给出了力学系统在完全一般性的广义坐标下具有不变性是的动力学方程组，并突出了能量函数的意义。分析力学甚至概括了比牛顿力学广泛得多的系统，例如在电气系统、控制系统中的应用就是一个明显的例子。分析力学的数学形式有着极好的性质，它不仅提供了解决天体力学及一系列动力学问题的较佳途径，同时给量子力学的发展提供了启示，最适宜于成为引向现代物理的跳板。其最小作用量原理提供了建立相对论量子力学最简练而富有概括性的出发点。——梁昆淼
- 光学 1.0
La gloris di colui che tutto move per l’universo penetra, e risplende in una parte più e meno altrove. – Paradiso: Canto I, Dante Alighieri
- 电动力学 1.0
现在可以研究传播着的电磁波了。
- 电磁学 1.0
The author wrote an physics article that pointed out a mathematical flaw of “Answers to 1000 Electromagnetic Problems (电磁学千题解) 2.1.45”, the most authorized problem set on electromagnetism in China. The article won the first prize (~7%) of the 24th Basic Subject Forum (第24届基础学科论坛) on Sept 3, 2021. Here is the link of the announcement. This is such a accomplishment that I have to pin it in English on my website!
- 热力学 1.0
热学有宏观描述方法（热力学方法）与微观描述方法（统计物理学方法）之分。这一篇首先将热力学，是关于热现象的宏观理论，把物质当作连续介质，以三条基本定律作为基础作演绎推论。
- 力学 1.0
牛顿力学又称矢量力学，以牛顿三个运动定律为基础，运用分离物体、几何关系、矢量等方法。具体介绍可以参考梁昆淼老师《力学（下册）——理论力学》的开头部分（对比了牛顿力学和分析力学）。
PhD-UT-Course-Review
- (En) Stochastic Processes 1.0
Is being a gambler a great career choice?
- (En) Machine Learning
This post is based on Prof Anton Zilman’s lectures and materials, supplemented with my own notes. Yes, detailed math of least squares fitting is also here.
- (En) Information Theory
The math you get used to and the math you understand are different. You may first get used to some math, and then it may take years to understand. –Prof Frank Kschischang
- (En) Scientific Computing in C++ 1.0
In this course, we compute in C++, a compiled language, since we need fast computing, or we cannot get our degree until death. We also use unix-like environment to run our jobs on high performance clusters (HPC).