Several concepts from

mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

and

physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...

are named after the mathematician and

astronomer An astronomer is a scientist in the field of astronomy who focuses on a specific question or field outside the scope of Earth. Astronomers observe astronomical objects, such as stars, planets, natural satellite, moons, comets and galaxy, galax ...

Joseph-Louis Lagrange Joseph-Louis Lagrange (born Giuseppe Luigi Lagrangiacrater A crater is a landform consisting of a hole or depression (geology), depression on a planetary surface, usually caused either by an object hitting the surface, or by geological activity on the planet. A crater has classically been described ...

on the Moon and a street in Paris.

Lagrangian

Lagrangian analysis Lagrangian analysis is the use of Lagrangian coordinates to analyze various problems in continuum mechanics. Lagrangian analysis may be used to analyze currents and flows of various materials by analyzing data collected from gauges/sensors embed ...

Lagrangian coordinates Lagrangian may refer to: Mathematics * Lagrangian function, used to solve constrained minimization problems in optimization theory; see Lagrange multiplier ** Lagrangian relaxation, the method of approximating a difficult constrained problem with ...

* Lagrangian derivative *

Lagrangian drifter A drifter (not to be confused with a ''profiling float, float'') is an Oceanography, oceanographic device floating on the surface to investigate ocean currents by tracking location. They can also measure other parameters like sea surface temperatu ...

* Lagrangian foliation * Lagrangian Grassmannian * Lagrangian intersection Floer homology *

Lagrangian mechanics In physics, Lagrangian mechanics is a formulation of classical mechanics founded on the d'Alembert principle of virtual work. It was introduced by the Italian-French mathematician and astronomer Joseph-Louis Lagrange in his presentation to the ...

** Relativistic Lagrangian mechanics *

Lagrangian (field theory) Lagrangian field theory is a formalism in classical field theory. It is the field-theoretic analogue of Lagrangian mechanics. Lagrangian mechanics is used to analyze the motion of a system of discrete particles each with a finite number of degrees ...

Lagrangian system In mathematics, a Lagrangian system is a pair , consisting of a smooth fiber bundle and a Lagrangian density , which yields the Euler–Lagrange differential operator acting on sections of . In classical mechanics, many dynamical systems are L ...

* Lagrangian mixing *

Lagrangian point In celestial mechanics, the Lagrange points (; also Lagrangian points or libration points) are points of equilibrium (mechanics), equilibrium for small-mass objects under the gravity, gravitational influence of two massive orbit, orbiting b ...

Lagrangian relaxation In the field of mathematical optimization, Lagrangian relaxation is a relaxation method which approximates a difficult problem of constrained optimization by a simpler problem. A solution to the relaxed problem is an approximate solution to the o ...

Lagrangian submanifold In differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, M , equipped with a closed nondegenerate differential 2-form \omega , called the symplectic form. The study of symplectic manifolds is called sy ...

* Lagrangian subspace *

Nonlocal Lagrangian In field theory, a nonlocal Lagrangian is a Lagrangian, a type of functional \mathcal phi(x) containing terms that are ''nonlocal'' in the fields \phi(x), i.e. not polynomials or functions of the fields or their derivatives evaluated at a sing ...

* Proca lagrangian * Special Lagrangian submanifold

Lagrange

Euler–Lagrange equation In the calculus of variations and classical mechanics, the Euler–Lagrange equations are a system of second-order ordinary differential equations whose solutions are stationary points of the given action functional. The equations were discovered ...

* Green–Lagrange strain * Lagrange bracket * Lagrange–Bürmann formula * Lagrange–d'Alembert principle * Lagrange error bound * Lagrange form * Lagrange form of the remainder *

Lagrange interpolation In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a data set of coordinate pairs (x_j, y_j) with 0 \leq j \leq k, the x_j are called ''nodes'' ...

* Lagrange invariant *

Lagrange inversion theorem In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange–Bürmann formula, gives the Taylor series expansion of the inverse function of an analytic function. Lagrange inversion is a special case of the inverse function ...

Lagrange multiplier In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function (mathematics), function subject to constraint (mathematics), equation constraints (i.e., subject to the conditio ...

** Augmented Lagrangian method * Lagrange number * Lagrange point colonization *

Lagrange polynomial In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a data set of coordinate pairs (x_j, y_j) with 0 \leq j \leq k, the x_j are called ''nodes'' ...

* Lagrange property *

Lagrange reversion theorem In mathematics, the Lagrange reversion theorem gives series or formal power series expansions of certain implicitly defined functions; indeed, of compositions with such functions. Let ''v'' be a function of ''x'' and ''y'' in terms of another f ...

Lagrange resolvent In Galois theory, a discipline within the field of abstract algebra, a resolvent for a permutation group ''G'' is a polynomial whose coefficients depend polynomially on the coefficients of a given polynomial ''p'' and has, roughly speaking, a rat ...

* Lagrange spectrum * Lagrange stability * Lagrange stream function * Lagrange top * Lagrange−Sylvester interpolation

Lagrange's

* Lagrange's approximation theorem * Lagrange's formula * Lagrange's identity *

Lagrange's identity (boundary value problem) In the study of ordinary differential equations and their associated boundary value problems in mathematics, Lagrange's identity, named after Joseph Louis Lagrange, gives the boundary terms arising from integration by parts of a self-adjoint line ...

* Lagrange's mean value theorem * Lagrange's notation *

Lagrange's theorem (group theory) In the mathematics, mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group , then , H, is a divisor of , G, , i.e. the order of a group, order (number of elements) of every subgroup H divides t ...

Lagrange's theorem (number theory) In number theory, Lagrange's theorem is a statement named after Joseph-Louis Lagrange about how frequently a polynomial over the integers may evaluate to a multiple of a fixed prime ''p''. More precisely, it states that for all integer polynomials ...

Lagrange's four-square theorem Lagrange's four-square theorem, also known as Bachet's conjecture, states that every natural number, nonnegative integer can be represented as a sum of four non-negative integer square number, squares. That is, the squares form an additive basi ...

* Lagrange's trigonometric identities

Non-mathematical

* Lagrange point colonization *

Lagrange (crater) Lagrange is a lunar impact crater that is attached to the northwestern rim of the crater Piazzi. It lies near the southwestern limb of the Moon The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lu ...

* Lagrange Island, Antarctica * Lagrange Island (Australia) * Rue Lagrange, a street in

Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...

*Via Giuseppe Luigi Lagrange, in

Turin Turin ( , ; ; , then ) is a city and an important business and cultural centre in northern Italy. It is the capital city of Piedmont and of the Metropolitan City of Turin, and was the first Italian capital from 1861 to 1865. The city is main ...

, the street where the house of his birth still stands. {{DEFAULTSORT:Lagrange, Joseph Louis, List of topics named after *Lagrange, a character from the 2017 rhythm game Arcaea Lagrange, Joseph Louis L