13 relations: Bijection, injection and surjection, Codomain, Complex analysis, Complex number, Function (mathematics), Graduate Texts in Mathematics, Image (mathematics), Mathematics, Naive set theory, Real analysis, Real number, Surjective function, Undergraduate Texts in Mathematics.
In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other.
In mathematics, the codomain or target set of a function is the set into which all of the output of the function is constrained to fall.
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.
In mathematics, an image is the subset of a function's codomain which is the output of the function from a subset of its domain.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Naïve set theory is any of several theories of sets used in the discussion of the foundations of mathematics.
In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real-valued functions.
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).
Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.