List of topics named after Carl Friedrich Gauss

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

[edit] 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 , 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

[edit] 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

[edit] Other notable achievements of Gauss

[edit] 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 in his own:

• Proved Cauchy's integral theorem before Cauchy but never published it.
• Discovered and proved the theorema egregium.

[edit] Gauss's inventions

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

[edit] 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

[edit] 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.