Mathematics is simply the study of patterns. Sometimes, we investigate why there is no pattern. We see a lot of patterns around us – the flowers, rainbow, ripples on a pond, spider’s web, roads, buildings, etc. There are also patterns which our eyes cannot see but can be discerned by our other senses and mind. There is so much mathematics in the music we hear and the numbers we use everyday.

Through this presentation, I would like to show the beauty of these patterns.

Arithmetic   – patterns of numbers

Algebra   – patterns of variables

Geometry   – patterns of shapes

Trigonometry   –  patterns of ratios of sides of triangles

Statistics   –  patterns of tendencies and probabilities

Calculus   – patterns of change

Topology   – patterns of surfaces