International Standard Book Number

International Standard Book Number
This article is written for Thai students of Prichai Ratanakorn School from Ranong.

Square root of Complex Nos with Pythagorean Triples

Square root of Complex Numbers with Pythagorean Triples

This post is dedicated to Lower Six B of Penang Free School (Year 2010).

British Math Olympiad 2008

British Math Olympiad 2008 Paper 1 / Question 5 - Solution

A geometrical property is proved using some algebraic identities.

British Math Olympiad 2008

British Math Olympiad 2008 Paper 1 / Question 4 - Solution

If n objects are put into p pigeon holes, where p < n then some pigeonhole must contain at least two objects.

British Math Olympiad 2008

British Math Olympiad 2008 Paper 1 / Question 3 - Solution

This is a geometrical problem solved using circle theorems.

British Math Olympiad 2008

British Math Olympiad 2008 Paper 1 / Question 2 - Solution

I have fun solving this question. Enjoy!

British Math Olympiad 2008

British Math Olympiad 2008 Paper1 - Question1 / Solution

I took the chance to solve some problems in the BMO paper 2008. During the CNY holidays when I was quite free so I typed out the solution for the first question. I shall find time to type more later.

A Little Creative Question

A Little Creativity Appeals

Hope you enjoy doing the problem.

Snell's Law - A Mathematical Proof

Snell's law - A Mathematical Proof

The use of dy/dx = 0 to determine maximum or minimum value in the proof of Snell's Law , I hope will appeal to students studying math and physics for SPM/STPM.

Pythagoras Theorem

Pythagoras Theorem - Proof by Leonardo da Vincci

A very elegant proof which I admire and you will be equally fascinated. There are other proofs that may be very different but they have their merits of their own. Hope to post some in future.

Pythagoras Theorem

A Simple Way to Generate Pythagorean Numbers

I dedicate this article to my former math teacher Mr. Leong Wei Ching who taught me Add Math in 1970.
This is useful for extra illustration on squaring and factoring algebraic expression.

Infinity is NOT a Number

a^0 = 1 when a is not zero - An explanation

2 x 3 = 6 so 2 = 6/3
2 x 0 = 0 so 2 = 0/0
3 x 0 = 0 so 3 = 0/0
Therefore 2 = 3
In this article 1 divided by zero is not number.

Some Infinity is Larger

One to One Functions and Infinity

This article is an extension of an earlier article on one to one functions. I believe you may be similarly inspired like me by the book Journey Through Genius by William Dunham.

One to One Functions

An Interesting Application of One to One Functions

It is usually not interesting to learn functions, domains and ranges. I am quite sure this article can enliven the lesson.

A Beautiful Proof

An Extra nCr Formula

I accidentally obtain this formula when I made a change in one question from x + y + z = 8 to x + y + z < 9 where x, y and z are integers. For details read the proof.

Radius of the Earth

How to Estimate the Radius of the Earth?

When I teach the concepts of radian as another way to measure angles I always tell my students about how the ancient mathematicians estimate the radius of the earth.

1 Newton and 1 Radian - Concept Similarity

1 Newton and 1 Radian

It is not easy to teach every lesson well. This very first lesson is one of my favorite. I hope it provides additional explanation for teachers and students on Newton as a unit for measuring force and radian for measuring angles.