List of topics named after Carl Friedrich Gauss

﻿
List of topics named after Carl Friedrich Gauss

Carl Friedrich Gauss (1777 &ndash; 1855) is the eponym of all of the topics listed below.

Topics including "Gauss"

*Carl Friedrich Gauss Prize, a mathematics award
*Degaussing, to demagnetize an object
*Gauss (unit), a unit of magnetic field (B)
*Gauss-Bolyai-Lobachevsky space, a hyperbolic geometry
*Gauss–Bonnet theorem, a theorem about curvature in differential geometry
*Gauss-Codazzi equations
*Gauss-Jordan elimination, a method in linear algebra
*Gauss-Kuzmin-Wirsing constant, a constant in number theory
*Gauss-Manin connection, a connection on a vector bundle over a family of algebraic varieties
*Gauss–Markov process
*Gauss–Markov theorem
*Gauss–Laplace pyramid, sometimes called the Burt–Adelson pyramid.
*Gauss linking integral (knot theory)
*Gauss-Krüger coordinate system
*Gauss–Seidel method
*Gauss-Newton algorithm
* Gauss-Legendre algorithm
*Gauss-Lucas theorem
*Gauss' principle of least constraint
*Gauss's constant, the reciprocal of the AGM of 1 and $scriptstylesqrt\left\{2\right\}$, in number theory.
*Gauss's continued fraction, an analytic continued fraction derived from the hypergeometric functions.
*Gauss's digamma theorem, a theorem about the digamma function.
*Gauss error function
*Gauss gun
*Gauss's hypergeometric theorem, an identity on hypergeometric series.
*Gauss's law, giving the relationship between flux through a closed surface and the enclosed source.
*Gauss's law for magnetism
*Gauss's lemma in relation to polynomials
*Gauss's lemma in number theory
*Gauss map
*Gauss Peninsula, East Greenland
*Gauss sum, an exponential sum over Dirichlet characters.
*"Gauss' theorem" may refer to the divergence theorem, which is also known as the "Ostrogradsky-Gauss theorem".
*Gauss composition

Topics including "Gaussian"

*Additive white Gaussian noise
*Gaussian beam
*Gaussian binomial, also called the "Gaussian coefficient"
*Gaussian blur, a technique in image processing.
*Gaussian curvature
*Gaussian distribution, also named the Normal distribution, a type of probability distribution.
*Gaussian elimination
*Gaussian function of "Gaussian distribution"
*Gaussian filter
*Gaussian free field
*Gaussian graph
*Gaussian gravitational constant
*Gaussian grid
* Gaussian's modular arithmetic
*Gaussian integer
*Gaussian integral
*Gaussian isoperimetric inequality
*Gaussian measure
* Gaussian model; see Variogram
* Gaussian network model
*Gaussian method
*Gaussian noise
*Gaussian optics
*Gaussian orbital
*Gaussian period
*Gaussian polynomial; see Gaussian binomial
*Gaussian prime
*Gaussian process
*Gaussian quadrature
*Gaussian rational
*Gaussian surface
*Gaussian year
*The GAUSSIAN software program

Other notable achievements of Gauss

Gauss's proofs

Proofs for conjectured theorems.
* The quadratic reciprocity law
* The fundamental theorem of algebra
* Fermat polygonal number theorem for "n" = 3proofs for theorems he discovered in his own:
* Proved Cauchy's integral theorem before Cauchy but never published it.
* Discovered and proved the theorema egregium.

Gauss's inventions

* Electromagnetic telegraph
* Heliotrope
* Magnetometer
* Photometer
* Double-Gauss lens
* Gauss gun

Gauss's identities

* Gauss multiplication formula may refer to the multiplication theorem.
* Gauss interpolation formula
* Gauss-Kummer series
* Gauss formula
* Gauss transformation
* Gauss' inequality
* Gauss theorems (two theorems) about the Euler function.
* Gauss test

Gauss conjectures

* The prime number theorem
* Gauss-Kuzmin distribution, the distribution of integers in a continued fraction.
* Gauss circle problem
* Gauss class number problem.
* Gauss made progress toward proving the Kepler conjecture.

Wikimedia Foundation. 2010.

Look at other dictionaries:

• Carl Friedrich Gauss — Infobox Scientist box width = 300px name = Carl Friedrich Gauss caption = Johann Carl Friedrich Gauss (1777 1855), painted by Christian Albrecht Jensen birth date = birth date|1777|4|30|df=y birth place = Braunschweig, Electorate of Brunswick… …   Wikipedia

• Scientific phenomena named after people — This is a list of scientific phenomena and concepts named after people (eponymous phenomena). For other lists of eponyms, see eponym. NOTOC A* Abderhalden ninhydrin reaction Emil Abderhalden * Abney effect, Abney s law of additivity William de… …   Wikipedia

• Gauss — may refer to: *Carl Friedrich Gauss, German mathematician and physicist **List of topics named after Carl Friedrich Gauss *Gauss (ship), a German research ship *Gauss (unit), a unit of magnetic flux density or magnetic induction *Gauss (crater),… …   Wikipedia

• Gauss's lemma — can mean any of several lemmas named after Carl Friedrich Gauss:* Gauss s lemma (polynomial) * Gauss s lemma (number theory) * Gauss s lemma (Riemannian geometry) See also * List of topics named after Carl Friedrich Gauss …   Wikipedia

• List of eponyms — An eponym is a person (real or fictitious) from whom something is said to take its name. The word is back formed from eponymous , from the Greek eponymos meaning giving name . NOTOC Here is a list of eponyms:A B C D E F G H I–J K L–ZA* Achilles,… …   Wikipedia

• List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …   Wikipedia

• List of physics topics F-L — NOTOC A B C D E F G H I J K L M N O P Q R S T U V W X Y Z> F * Famous physicists; see list of physicistsFa* Faraday cage * Faraday constant * Faraday s law of electrolysis * Faraday s law of induction * Faraday, Michael * Fahrenheit * Fahrenheit …   Wikipedia

• Lists of mathematics topics — This article itemizes the various lists of mathematics topics. Some of these lists link to hundreds of articles; some link only to a few. The extremely long list of mathematics articles contains all mathematical articles in alphabetical order.… …   Wikipedia

• Johann Peter Gustav Lejeune Dirichlet — Gustav Lejeune Dirichlet Johann Peter Gustav Lejeune Dirichlet Born 13 Fe …   Wikipedia

• Leonhard Euler — Infobox Scientist name = Leonhard Euler|box width = 300px |200px image width = 200px caption = Portrait by Johann Georg Brucker birth date = birth date|df=yes|1707|4|15 birth place = Basel, Switzerland death date = 18 September (O.S 7 September)… …   Wikipedia