Refer Books «Prime Obsession» https://en.wikipedia.org/wiki/Prime_Obsession

discriminant 判别式

Understanding Mathematical Symbols with Code https://towardsdatascience.com/understanding-mathematical-symbols-with-code-5aa0c542644

The Daily Challengewith Po-Shen Loh https://daily.poshenloh.com/

Counting is funSolving some real-world problems with math and code https://towardsdatascience.com/counting-is-fun-7204fcb1f392

Basic concepts

高考锦囊高中数学必修 http://www.iqiyi.com/a_19rrh1qjel.html

Algebra

abelian == commutative Finite Fields == Galois field

Discrete number and continuous number mathematics

Continuous mathematics deals with real numbers. Recall that between any two real numbers there are infinitely many additional real numbers. There are no gaps in the real number line that continuous math operates on. Real number Discrete math deals with sets of items, numbers for example, that can only contain certain discrete values. set/group=>cyclic group

Real number Integer(negative, positive[whole number]) Rational number 0.111… =1/9 A rational number is a number that can be in the form p/qwhere p and q are integers and q is not equal to zero. http://mathforum.org/library/drmath/view/57119.html Irrational number (π, √2) Imaginary number https://www.mathsisfun.com/numbers/imaginary-numbers.html i × i = −1 Infinite 0.111… (etc) repeat infinitely. https://www.mathsisfun.com/numbers/real-numbers.html

Arithmetic

Means 算数平均 加权平均 几何平均 数学期望 大数定理

Function and formula

韦达定理 https://baike.baidu.com/item/韦达定理

欧几里得算法

高等代数

MIT线性代数公开课笔记代码: https://github.com/lyhistory/notes-linear-algebra https://github.com/lyhistory/18.06-linalg-notes

http://blog.coursegraph.com/%E9%82%A3%E4%BA%9B%E5%80%BC%E5%BE%97%E6%8E%A8%E8%8D%90%E5%92%8C%E6%94%B6%E8%97%8F%E7%9A%84%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%E5%AD%A6%E4%B9%A0%E8%B5%84%E6%BA%90

fermat’s little theorem https://github.com/jimmysong/programmingbitcoin/issues/113

Scalar multiplication Vector multiplication Matrix multiplication

GASSIAN ELIMINATION www.mamicode.com/info-detail-1813820.html

输入一组向量 xx=[x1,x2,…,xd] , 用线性模型预测输出变量y。 y^=wwTxx(1)

常微分 https://www.youtube.com/watch?v=VV3BnroVjZo Solve Differential Equations in Python http://apmonitor.com/pdc/index.php/Main/SolveDifferentialEquations

local minimum of convex function is necessarily global

http://planetmath.org/localminimumofconvexfunctionisnecessarilyglobal

线性回归 linear regression 《BigData: machinelearning》

数学分析

https://github.com/lyhistory/Calculus-with-Python

诺丁汉大学公开课:数学分析

黎曼和=》积分 Riemann 积分与 Lebesgue 积分 https://www.zhihu.com/question/28700668

积分应用 https://blog.csdn.net/sunbobosun56801/article/details/78490230 微积分第一基本定理中曾介绍过定积分与均值关系,如果y = f(x),则当n→∞时