Ideas, Concepts and Definitions

People have been making contributions to the field of mathematics for thousands of years. Mathematics has many branches and sub-branches, and new mathematics is being invented all of the time.

Sometimes mathematicians invent new words, and sometimes they use familiar words in a special way. That is why mathematics sometimes seems like a foreign language.

This reference information will help you learn more about mathematics and find out what some of the special words mean.



Doing What Mathematicians Do

Truth and Proof

Mathematical Objects and Their Properties

Modeling and Abstraction

Algorithms

One-Way Functions

Recursion

Computational Complexity

The Four Color Theorem

Graph Theory

Infinity

Topology

Knot Theory

Knots and Links

Knots and Braids

Finite State Machines

One-to-one Correspondence

Primes