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Algebraic functions are mathematical functions consisting of elementary operations like addition, subtraction, multiplication, division, exponentiation.
Introduction
A function which can be constructed using only a finite number of elementary operations together with the inverses of functions capable of being so constructed. Nonalgebraic functions are called transcendental functions. Partial plot of a function f. ... In mathematics, an inverse function is in simple terms a function which does the reverse of a given function. ... A transcendental function is a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials. ...
Example
y = x2 represents the equation of a parabola, a quadratic algebraic function in x. f(x) = x2 - x - 2 In mathematics, a quadratic function is a polynomial function of the form , where a is nonzero. ...
See Also
Transcendental function A transcendental function is a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials. ...
The theory of algebraicfunctions was studied in the past from three different points of view: the function-theoretical point of view taken, in particular, by N.H. Abel, K.
In the first case the algebraicfunction is a rational, in the second case it is an elliptic, while in the third case it is a general function.
Each algebraicfunction field in one variable is the field of fractions of a Dedekind ring, so that many results and concepts of the theory of divisibility in algebraic number fields can be applied to function fields [12].
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