When i was in Bogota, i stayed with Martha and Hugo. Hugo is a mathematician. he asked me which area of mathematics i studied. I told him Abstract Algebra. Then he told me a funny story. Many Colombian students are not great at Algebra (regular), and almost all the Algebra textbook in Colombia is written by a Cuban mathematician…

# Category: Maths

## Goldbach Conjecture

Math Day 6: Goldbach Conjecture Trial in Python: Because of the dramatical story of Chen jing run(陈景润), Chinese society has a special sentimental enthusiasm attached to the Goldbach Conjecture. Majority of the public think it is the most difficult and fascinating maths problem in the world. The truth is Goldbach Conjecture is extremely easy to understand, yet remains unproven. Goldbach’s…

## Fibonacci sequence in Music and Python

Math day 5: Fibonacci Sequence Fibonacci Sequence and Music In western music theory, we know an octave including 13 notes: C, C#, D, D#, E, F, F#, G, G#, A, A#,B, C (1,1#,2,2#,3,4,4#,5,5#,6,6#,7,i) Is there anything special about numbers 13?

## Linear Diophantine Equation 2

Review: Last time, we went over the basic theorems of Linear Diophantine Equation. This time, we will focus on how to solve the problem. One of the most famous examples is “Chicken Bunny in the Same Cage“.

## Linear Diophantine Equation1

In Number Theory Class, Dr.Cavior told us a real story, One Sunday morning 🌞, he just made a cup of freshly brewed coffee☕ and started to read a book 📒, then he got a call from a friend ☎. The friend was asking for his help with a 1 Million Dollars McDonald’s Puzzle that she was trying for couple days!

## Geometric Series with Python

Background Story : There were a couple of mathematicians went to a bar, the first guy ordered one beer, the second guy asked for 1/2 of a beer, the third guy asked for 1/4 of a beer, the fourth ordered 1/8 of a beer, and so on… The hot bartender rolled her eyes, poured two beers, and says, “Here, you…

## The Chinese Remainder Theorem

Chinese Remainder Theorem Background Story: back in the Han dynasty, there is a famous General Han Xin. In order to prevent the spy in the army to detect the number of his soldiers, he used an advanced Counting System (韩信点兵). Instead off directly counting from 1 to n, he asked his soldiers to number off from 3 times. First time 1…

## Collatz Conjecture

Python Day 4: Collatz Conjecture Some of the students used to ask me, why do we have to learn calculus? I told them because if they are good at calculus then they may good at abstract algebra and number theory, and eventually can be the front page of the People’s Magazine like Andrew Wiles. (Andrew Wiles proved Fermat’s Last Theorem).

## Derivative

Derivatives 1:

Derivative is one of my favorite concepts; it is the fundamental idea of calculus.

Derivative represents the rate of instantaneous change at the point a.

Math started to make sense to me systematically from calculus.

One application is

S(t): Distance

S'(t) = v(t) : velocity

S”(t)= v'(t)= a(t): accerlation

and dont forget S”'(t)= jerk 🙂

Happy studying!

## The Game of 31

Thirty-One: Last weekend, 77 recommended me to watch a TV shows, High Intelligent Players, 高能玩家. Among the games they played, there is a game of 31, I think it is very interesting.