| − | Mathematics is the [[science]] of [[numbers]], it involves such areas as counting quantity, studying relationships between numbers and relationships in space, and study of structure, rates of change, and time. It includes the fields of [[Algebra]] (relationships between numbers), [[Geometry]] (relationships in space), [[Trigonometry]] (the study of triangles), [[Calculus]] (rates of change), [[Number Theory]] (integers), and [[Category Theory]] (categories). Most mathematical concepts are designed for practical applications such as financial accounting, geometric construction of building, astronomical calculations, calendar dating, telling time, engineering, physics, chemistry, etc. But some mathematicians have developed mathematical concepts without practical applications in mind. The former is called applied mathematics, the latter is called pure mathematics. | + | Mathematics is the [[science]] of [[numbers]], it involves such areas as counting quantity, studying relationships between numbers and relationships in space, and study of structure, rates of change, and time. It includes the fields of arithmetic (simple mathematical calculations such as addition, subtraction, multiplication, division, and extracting square roots) [[Algebra]] (relationships between numbers), [[Geometry]] (relationships in space), [[Trigonometry]] (the study of triangles), [[Calculus]] (rates of change), [[Number Theory]] (integers), and [[Category Theory]] (categories). Most mathematical concepts are designed for practical applications such as financial accounting, geometric construction of building, astronomical calculations, calendar dating, telling time, engineering, physics, chemistry, etc. But some mathematicians have developed mathematical concepts without practical applications in mind. The former is called applied mathematics, the latter is called pure mathematics. |