Fluent (mathematics)
# Fluent (mathematics)

Part of a series of articles about :

Calculus :

Fundamental theorem

Limits

Continuity

Rolle's theorem

Mean value theorem

Inverse function theorem :

Differential

Definitions

Derivative (generalizations)

Differential

infinitesimal

of a function

total

Concepts

Differentiation notation

Second derivative

Implicit differentiation

Logarithmic differentiation

Related rates

Taylor's theorem

Rules and identities

Sum

Product

Chain

Power

Quotient

L'Hôpital's rule

Inverse

General Leibniz

Faà di Bruno's formula

Reynolds :

Integral

Lists of integrals

Integral transform

Leibniz integral rule

Definitions

Antiderivative

Integral (improper)

Riemann integral

Lebesgue integration

Contour integration

Integral of inverse functions

Integration by

Parts

Discs

Cylindrical shells

Substitution (trigonometric, tangent half-angle, Euler)

Euler's formula

Partial fractions

Changing order

Reduction formulae

Differentiating under the integral sign

Risch algorithm :

Series

Geometric (arithmetico-geometric)

Harmonic

Alternating

Power

Binomial

Taylor

Convergence tests

Summand limit (term test)

Ratio

Root

Integral

Direct comparison

Limit comparison

Alternating series

Cauchy condensation

Dirichlet

Abel :

Vector

Gradient

Divergence

Curl

Laplacian

Directional derivative

Identities

Theorems

Gradient

Green's

Stokes'

Divergence

generalized Stokes :

Multivariable

Formalisms

Matrix

Tensor

Exterior

Geometric

Definitions

Partial derivative

Multiple integral

Line integral

Surface integral

Volume integral

Jacobian

Hessian :

Advanced

Calculus on Euclidean space

Generalized functions

Limit of distributions :

Specialized

Fractional

Malliavin

Stochastic

Variations :

Miscellaneous

Precalculus

History

Glossary

List of topics

Integration Bee

Mathematical analysis

Nonstandard analysis :

vte :

A fluent is a time-varying quantity or variable. The term was used by Isaac Newton in his early calculus to describe his form of a function. The concept was introduced by Newton in 1665 and detailed in his mathematical treatise, Method of Fluxions. Newton described any variable that changed its value as a fluent – for example, the velocity of a ball thrown in the air. The derivative of a fluent is known as a fluxion, the main focus of Newton's calculus. A fluent can be found from its corresponding fluxion through integration.

