Math definition by mathematicians biography

Area of knowledge

"Math" and "Maths" redirect here. For other uses, see Mathematics (disambiguation) and Math (disambiguation).

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics).

Mathematics involves the description and manipulation of abstract objects that consist of either abstractions from nature or—in modern mathematics—purely abstract entities that are stipulated to have certain properties, called axioms.

Mathematics uses pure reason to prove properties of objects, a proof consisting of a succession of application