Scroll to Top
Constant - Monomath Math Dictionary
← Monomath Home← Math DictionaryConstant
C

Constant

Algebra

πŸ“– Definition

A constant is a fixed value that does not change, as opposed to a variable.

πŸ“ Detailed Explanation

Constants can be specific numbers like 5, Ο€, or e, or symbolic parameters like c in axΒ² + bx + c. In calculus, constant terms become zero when differentiated. Important mathematical constants include Ο€ (pi, β‰ˆ 3.14159), e (Euler's number, β‰ˆ 2.71828), Ο† (golden ratio, β‰ˆ 1.618), and i (imaginary unit). Physical constants like the speed of light (c) and gravitational constant (G) are constants in scientific equations.

πŸ“ Formula

f'(c) = 0 for any constant c  |  ∫ c dx = cx + C

πŸ“œ History & Origins

The distinction between constants and variables was formalized by RenΓ© Descartes in the 17th century. Ancient mathematicians used specific constants like Ο€ and √2. Leonhard Euler introduced the symbols e (1727), i (1777), and Ο€ (popularized 1736). Mathematical constants have been studied extensively, with some like Ο€ being computed to trillions of digits.

πŸ”— Related Terms

← Back to DictionaryBrowse Study Notes β†’