Definition of mathematics

What is the definition of mathematics? It's the study of numbers, you say. That may be true for some areas of math. However, what about geometry, trigonometry, and calculus? And what is the definition of numbers? Now you go to the dictionary and say The relationship between measurements and quantities using numbers and symbols. This is, however, not fully true because this definition also uses applied mathematics. We want pure mathematics. Also, most of these definitions miss one area of math: Chaos theory, a recently discovered area of math where nothing can be predicted but nothing is random. For example, can a butterfly that flaps its wings in Peru trigger a tornado in Texas? Some definitions hit almost all the areas of math, but some are too broad and logic, for example, often fits into the definition. We can, however, define some areas of math but not the whole thing. For example, the definition of geometry is A branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs. The definition of probability is the extent to which an event is likely to occur.

Arithmetic

Main article: Arithmetic

The branch of mathematics dealing with the properties and manipulation of constants(a number that can not changed. This is the opposite of a variable which is most of the tie represented by a letter. This letter is most of the time , or however it can be really any non-used symbol.).

Algebra =

Main article: Algebra

The part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Number Theory

Main article: Number theory

The branch of mathematics that deals with the properties and relationships of numbers, especially the positive integers.

Probability

Main article: Probability

The extent to which an event is likely to occur.

Combinatorics

Main article: Combinatorics

Geometry

Main article: Geometry

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