Algebra

No number has captured the attention and imagination of people throughout the ages as much as the ratio of a circle's circumference to its diameter. Pi—or ? as it is symbolically known—is infinite and, in The Joy of pi, it proves to be i...

From the contours of coastlines to the outlines of clouds, and the branching of trees, fractal shapes can be found everywhere in nature. In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produce...

By many expert mathematicians, group theory is often addressed as a central part of mathematics. It finds its origins in geometry, since geometry describes groups in a detailed manner. The theory of polynomial equations also describes the procedure ...

How is a subway map different from other maps? What makes a knot knotted? What makes the Mobius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century t...

Numbers are integral to our everyday lives and factor into almost everything we do. In this Very Short Introduction, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an over...

Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the "building blocks" of our number system. The subject is an old one, dating back over two millennia t...

If you want to impress your family and friends by solving the Rubik's Cube while staying calm and collected, then keep reading....The Rubik's Cube seems like an innocent, colorful, and perfect gift for kids, something that will keep them busy for ho...

In old times, number theory was also known as arithmetic. However, now arithmetic and number theory are considered as separate branches from each other’s, it was not same in old times. Number theory is one of the many important branches of pur...

Complexity is usually confused with the term complicated. There are many different elements, individuals and particles in a complex system that interact with each other. They also respond to the environments. These elements, individuals and particle...