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[[Carl Friedrich Gauss]] (1777–1855) is the eponym of all of the topics listed below.  
There are over 100 topics all named after this German mathematician and scientist, all in the fields of mathematics, physics, and astronomy.  


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== Topics including "Gauss" ==
*[[Carl Friedrich Gauss Prize]], a mathematics award
*[[Degaussing]], to demagnetize an object
*[[Elliptic Gauss sum]], an analog of a [[Gauss sum]]
*[[Gauss (unit)]], a unit of [[magnetic field]] ('''B''')
*[[Gauss–Bodenmiller theorem]]
*[[Gauss–Bolyai–Lobachevsky space]], a [[hyperbolic geometry]]
*[[Gauss–Bonnet theorem]], a theorem about curvature in [[differential geometry]]
*[[Gauss–Codazzi equations]]
*[[Gauss code]]
*[[Gauss–Hermite quadrature]]
*[[Gauss–Jacobi quadrature]]
*[[Gauss–Jordan elimination]], a method in [[linear algebra]]
*[[Gauss–Kronrod quadrature formula]]
*[[Gauss–Kuzmin distribution]], a [[discrete probability distribution]]
*[[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's law for gravity]]
*[[Gauss linking integral]] ([[knot theory]])
*[[Gauss iterated map]] ([[dynamical systems]])
*[[Gauss–Krüger coordinate system]]
*[[Gauss–Seidel method]]
*[[Gauss–Newton algorithm]]
*[[Gauss–Newton line]]
*[[Gauss–Legendre algorithm]]
*[[Gauss–Lucas theorem]]
*[[Gauss's area formula]]
*[[Gauss's principle of least constraint]]
*[[Gauss's constant]], the [[Multiplicative inverse|reciprocal]] of the [[arithmetic geometric mean|AGM]] of 1 and <math>\scriptstyle\sqrt{2}</math>, in [[number theory]]
*[[Gauss's continued fraction]], an analytic continued fraction derived from the hypergeometric functions
*[[Gauss's criterion]]
*[[Gauss's digamma theorem]], a theorem about the [[digamma function]]
*[[Error function|Gauss error function]]
*[[Wilson's theorem#Gauss's generalization|Gauss' generalization of Wilson's theorem]]
*[[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 (polynomial)|Gauss's lemma]] in relation to [[polynomial]]s
*[[Gauss's lemma (number theory)|Gauss's lemma]] in [[number theory]]
*[[Gauss's lemma (Riemannian geometry)|Gauss's lemma]] in [[Riemannian geometry]]
*[[Gauss map]]
*[[Gauss Peninsula]], East Greenland
*[[Gauss sum]], an [[exponential sum]] over [[Dirichlet character]]s
*''Gauss's theorem'' may refer to the [[divergence theorem]], which is also known as the ''Ostrogradsky–Gauss theorem''
*[[Gauss composition]]
*[[Generalized Gauss–Bonnet theorem]]
*[[Gauss pseudospectral method]]
*[[Gauss Tower]]
*[[Gauss (ship)]]
*[[Gaussberg]], or Mount Gauss, an extinct volcano in Antarctica
*The [[Gauss expedition]], the first German expedition to Antarctica
 
== Topics including "Gaussian" ==
*[[Additive white Gaussian noise]]
*[[Gaussian beam]]
*[[Gaussian binomial coefficient]], also called ''Gaussian polynomial'' or ''Gaussian coefficient''
*[[Gaussian blur]], a technique in [[image processing]]
*[[Gaussian bracket]]
*'''Gaussian copula'''
*[[Gaussian curvature]]
*'''Gaussian distribution''', also named the [[normal distribution]], a type of [[probability distribution]]
*[[Gaussian elimination]]
*'''[[Gaussian function]]''' related to the ''Gaussian distribution''
*[[Gaussian filter]]
*[[Gaussian fixed point]]
*[[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 moat]]
*[[Gaussian noise]]
*[[Gaussian optics]]
*[[Gaussian orbital]]
*[[Gaussian period]]
*Gaussian polynomial; see [[Gaussian binomial coefficient]]
*[[Gaussian prime]]
*[[Gaussian process]]
*[[Gaussian quadrature]]
*[[Gaussian rational]]
*[[Gaussian smoothing]]
*[[Gaussian surface]]
*[[Gaussian year]]
*[[Inverse Gaussian distribution]], also known as the Wald distribution
*[[Gaussian (software)|Gaussian]], a computational chemistry 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'' = 3
proofs for theorems he discovered himself:
* Discovered and proved the [[theorema egregium]]
 
===Gauss's identities===
* Gauss multiplication formula may refer to the [[multiplication theorem]]
* [[Gauss interpolation formula]]
* [[Gauss–Kummer series]]
* [[Gauss formula]]
* [[Gauss transformation]]
* [[Gauss's 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]]
 
[[Category:Lists of things named after mathematicians|Gauss]]

Revision as of 13:39, 7 November 2013

Carl Friedrich Gauss (1777–1855) is the eponym of all of the topics listed below. There are over 100 topics all named after this German mathematician and scientist, all in the fields of mathematics, physics, and astronomy.

Topics including "Gauss"

Topics including "Gaussian"

Other notable achievements of Gauss

Gauss's proofs

Proofs for conjectured theorems

proofs for theorems he discovered himself:

Gauss's identities

Gauss conjectures