Types of functions | Computer algebra | Differential algebra

Elementary function

In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots and compositions of finitely many polynomial, rational, trigonometric, hyperbolic, and exponential functions, including possibly their inverse functions (e.g., arcsin, log, or x1/n). All elementary functions are continuous on their domains. Elementary functions were introduced by Joseph Liouville in a series of papers from 1833 to 1841. An algebraic treatment of elementary functions was started by Joseph Fels Ritt in the 1930s. (Wikipedia).

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Inverse function | Differential algebra | Exponentiation | Rational function | Absolute value | Complex analysis | Product rule | Nonelementary integral | Closure (mathematics) | Finite set | Antiderivative | Derivative | Monomial | Logarithm | Joseph Liouville | Inverse trigonometric functions | Polynomial | Domain of a function | Rational number | Exponential function | Variable (mathematics) | Error function | Field extension | Complex plane | Multiplication | Liouvillian function | Addition | Function (mathematics) | Field (mathematics) | Mathematics | Risch algorithm | Algebraic function | Constant function | Function of a real variable | Series (mathematics) | Trigonometric functions | Multivalued function | Abstract algebra | Natural logarithm | Function composition | Hyperbolic functions | Liouville's theorem (differential algebra)