Mathematics is the body of knowledge and academic discipline that studies such concepts as quantity, structure, space and change. The mathematician Benjamin Pierce called it "the science that draws necessary conclusions". Other practitioners of mathematics maintain that mathematics is the science of pattern, and that mathematicians seek out patterns whether found in numbers, space, science, computers, imaginary abstractions, or elsewhere. Mathematicians explore such concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions.

"Math is divided into the fields of Quantity, Structure, Space, Change, Foundations and Philosophy, Discrete mathematics, and Applied mathematics."

Quantity: Natural numbers, Integers, Rational numbers, Real numbers, and complex numbers.

Structure: Number theory, Abstract algebra, Group theory, and Order theory.

Space: Geometry, Trigonometry, Differential Geometry, Topology, and Fractal Geometry.

Change: Calculus, Vector calculus, Differential equations, Dynamical Systems, and Chaos theory.