
0
The ubiquity of
Hey, it works. :)
On a side note, I need a little bit of help for those that knows LaTeX. When on each line of code when you want to separated different sentences. The first word of the second sentence always is a few spaces further then the first word on the first sentence. Why's that? And how do I fix it?
So for example: Similarly, we can...
Read more >
Thus, ... 
By: Tao Steven Zheng
In the Chinese mathematical text Jiuzhang Suanshu, we find an interesting problem that requires the Pythagorean triples formula to solve.
Chapter 9: Gougu Problem 14
今有二人同所立。甲行率七，乙行率三。乙東行。甲南行十步而邪東北與乙會。問甲乙行各幾何？
[There are two persons standing at the same location. Person A moves at a speed of 7. Person B moves at a speed of 3. Person B moves east. Person A first moves 10 bu south, then diagonally northeast until he meets person B once more. How far did each man travel?]
 bu (步) literally means pace, a Chinese unit of length that measures roughly 1.6 meters long.
The units of the speed are not specified, but it is reasonable to assume that the speed is measured in bu per second, which measures 1.6 meters per second.
For calculati…
Read more > 
By: Tao Steven Zheng
This historical overview on the mathematics of ancient China includes the major developments of mathematical thought in ancient China from the Shang dynasty (1600 – 1046 BC) to the Northern and Southern dynasties (420 – 589 AD). The mathematical development from the Sui dynasty (589 – 618 AD) to the Qing dynasty (1644 – 1911 AD) would be considered Medieval Chinese mathematics, and will not be discussed in this article.
Much of Chinese mathematics prior the Warring Sates period (476 – 221 BC) was developed out of mysticism and astronomy. The earliest inscriptions of numerals can be traced to oracle bone script of the Shang dynasty (1600 – 1046 BC). The words and numerals of this period were carved on hard media such as a…
Read more > 
]] 1811 – 1882 AD: Li Shanlan develops transcendental functions, infinite series, and combinatorics from ancient Chinese mathematics
Read more > 
By: Tao Steven Zheng
Click here to view the interactive timeline.
Enjoy this video of a Song dynasty mechanical clock tower!
Read more > 
By: Tao Steven Zheng
There is a growing epidemic of dyscalculia among today’s youth. The overreliance of electronic calculators has led many to add and subtract slowly, forget their multiplication table, and fail to search for divisible factors. The abacus is an ancient computation tool that can remedy this modern malaise. How? Well, the abacus is just a tool that speeds up computation, but the computation is still done by the human brain. It trains the brain to think faster and more strategically. It internalizes the decimal number system. It requires the user to memorize the multiplication table, and the factors of a given integer.
Abacuses have been invented by several cultures around the globe; at different times. Many early abacuses were …
Read more > 
There are five steps to problem solving:1) understanding
2) organization
3) strategy
4) execution
5) reflection
Step 1: Picture the problem (Understanding)
Read the problem carefully to know what is known and what is not known. Understand the objective of the problem. Write down what is known and what needs to be solved.
Step 2: Get organized (Organization)
Separate the relevant and irrelevant parts of the presented information, and eliminate the irrelevant information. Translate words into the mathematical language. Introduce variables for the unknown quantities discussed. Attempt to obtain more information from prior knowledge, or by dabbling with the information given in the problem. Make correct connections between the gathered information i…
Read more > 
Author: James J. Tattersall
Rating: 10/10
This is an excellent (and readable) intro text to number theory with proofs to many important numbertheoretic formulas and theorems. Aside from theory, there is also an emphasis on applications such as calendrics, representations, and cryptography. From front to back, there are many interesting historical notes that connect the subject to several cultures (including Chinese, Muslim and Indian). I highly recommend this text to anyone who enjoys challenging and enlightening problems.
Author: Bruce Shawyer
Rating: 8/10
This book draws many problems from the IMO and other math contests, with supplementary information and commentary. Certainly, this book is great for expanding one's horizons to solving challe…
Read more >