Thanks to modern science and technology, we can predict what the weather will be like in 5 days, but it’s still a bit more challenging to predict what will happen to us and our societies.

You may have heard of the butterfly effect, where butterflies flapping their wings somehow cause tornadoes. Although it seems pretty unlikely, butterflies can affect the weather, just not in the way you might think.

What is the butterfly effect? The Real Butterfly Effect -- Imagine this scenario, a butterfly flutters its wings in Brazil, and it sets off a cascade of events over the course of time, which results in the...

What is Chaos Theory? Chaos theory is an interdisciplinary area of scientific study and branch of mathematics focused on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions, and...

I have long wanted to make a video about chaos, ever since reading James Gleick's fantastic book, Chaos. I hope this video gives an idea of phase space - a picture of dynamical systems in which each point completely represents the state...

What is Chaos Theory? Chaos theory is an interdisciplinary area of scientific study and branch of mathematics focused on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions, and...

The History of Mathematics and Its Applications