Mathematics, Form and Function, a book published in 1986 by Springer-Verlag, is a survey of the whole of mathematics, including its origins and deep structure...

In mathematics, the composition operator ∘ {\displaystyle \circ } takes two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new...

mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function...

In mathematics, an expression or equation is in closed form if it is formed with constants, variables, and a set of functions considered as basic and connected...

In mathematics, a modular form is a holomorphic function on the complex upper half-plane, H {\displaystyle {\mathcal {H}}} , that roughly satisfies a...

In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some...

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose...

In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers,...

In mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere...

In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {−1...

The mathematical concept of a function dates from the 17th century in connection with the development of calculus; for example, the slope d y / d x {\displaystyle...

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...

(1986). Mathematics, form and function. Springer., page 409 Brown, Ronald; Porter, Timothy (1995). "The Methodology of Mathematics". The Mathematical Gazette...

In mathematics, a quadratic function of a single variable is a function of the form f ( x ) = a x 2 + b x + c , a ≠ 0 , {\displaystyle f(x)=ax^{2}+bx+c...

In mathematics, a cubic function is a function of the form f ( x ) = a x 3 + b x 2 + c x + d , {\displaystyle f(x)=ax^{3}+bx^{2}+cx+d,} that is, a polynomial...

In mathematics and computer science, a higher-order function (HOF) is a function that does at least one of the following: takes one or more functions as...

a mathematical notation defined by cis x = cos x + i sin x, where cos is the cosine function, i is the imaginary unit and sin is the sine function. x...

In mathematics, a codomain, counter-domain, or set of destination of a function is a set into which all of the output of the function is constrained to...

circular function is an angle. The argument of a hyperbolic function is a hyperbolic angle. A mathematical function has one or more arguments in the form of...

In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. The exponential of...

In mathematics, a functional is a certain type of function. The exact definition of the term varies depending on the subfield (and sometimes even the...

In mathematics, a surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's...

In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle:...

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ⁡ ( f ) {\displaystyle \operatorname...

Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. Its defining...

their position. Mathematics, Form and Function (1986), an overview of mathematics intended for philosophers, proposes that mathematical concepts are ultimately...

of z", and consequently the "logarithm of z", multi-valued functions. Exponentiation occurs in many areas of mathematics and its inverse function is often...

In mathematics, a constant function is a function whose (output) value is the same for every input value. As a real-valued function of a real-valued argument...

In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots...

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate...