# Tag: mathematics

## Clear Explanation of Vectors and Tensors

| September 9, 2012

When it comes to learning general relativity or differential geometry from textbooks, the most annoying thing is that very few books do a good job of explaining clearly what do contravariant and covariant components mean and what tensors actually represent. Even if you get a copy of the most popular introductory texts of GR, the […]

## NOVA: Fractals – Hunting the Hidden Dimension

| August 7, 2012

As we all know, there is an amazing connection of mathematics with the universe all around us.  For instance, hat do movie special effects, the stock market, heart attacks, and the rings of Saturn have in common? They all consist of things called fractals — irregular repeating shapes. These shapes can be analysed mathematically, which is invaluable in both […]

## The Story of Math

| June 8, 2012

In the world of science documentaries the subject of mathematics, let’s be honest, is an underdog. There aren’t that many documentaries, but the quality of them, more often than not, is quite good. “The Story of Math” is not an exception. It’s another interesting documentary hosted by Marcus du Sautoy. So let’s check it out. […]

## An Imaginary Tale: The Story of i

| May 28, 2012

One of the most mysterious concepts in mathematics is the square root of -1 usually noted i. Even a primary school students know that if you square either a positive or a negative number the result will come out to be positive. But what about a negative number? It seems that there’s no way to […]

## The Story of 1

| May 14, 2012

Among science documentaries, the ones about physics and technology seem to be dominating the screen these days. That’s why it’s always nice to see something a little different, for instance documentary about maths. So today let’s take a look at one of the earlier works including mathematician and a popular writer Marcus du Sautoy as […]

## Proving Darwin: Making Biology Mathematical

| May 3, 2012

Darwin’s work on the theory of evolution is one of the most established and confirmed theories, but at the same time it is one of the most discussed theories as well. In his book “Proving Darwin: Making Biology Mathematical” Gregory Chaitin discusses evolution from a unique mathematical point of view.  It’s a really unique book […]

## More than 150 Free Textbooks

| May 1, 2012

While I was searching for some good free math textbooks I stumbled upon this cool website called Open Culture. It’s basically a collection of free educational resources from all around the web with handy info, pictures, descriptions and other great stuff. My main interest was math and physics textbooks and free courses and I found […]