Combinatorics
What is Combinatorics?
In mathematics and computer science, combinatorics is the study of finite or countable discrete structures. As opposed to other areas of mathematics, where one studies continuous structures, in combinatorics the objects under consideration are usually discrete, such as graphs, Friendship networks, codes, and designs. Combinatorial problems arise in many areas of science, from statistical physics to evolutionary biology, and combinatorial methods are useful in attacking problems in other areas of mathematics such as number theory and algebra. Many famous mathematicians have worked in this field, including Carl Ferdinand von Lindemann, David Hilbert, Ernst Zermelo, George Polya, and Stanislaw Ulam.
How to Learn Combinatorics
Learning combinatorics is an important part of mathematics that is often used in computer science. It is the study of objects that can be arranged or combined in different ways, such as permutations and combinations. It is also the study of relations between different objects, such as how likely they are to occur together. Combinatorics is a branch of mathematics that is used to solve problems in computer science, engineering, and physics.
Combinatorics Resources
Probability and combinatorics
What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit bet...
Games without Chance: Combinatorial Game Theory
This course will cover the mathematical theory and analysis of simple games without chance moves....
Probability and combinatorics
You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk?...
Combinatorics – The Fine Art of Counting
Love math but bored in math class? This is the course for you! Combinatorics is a fascinating branch of mathematics that applies to problems ranging from card games to quantum physics to the internet. The only pre-requisite is basic algebra; however...