List of things named after Carl Friedrich Gauss

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"

The Gaussberg in Brunswick, Germany with the Gauss memorial in front

• Carl Friedrich Gauss Prize, a mathematics award
• Gauss Lectureship, a mathematical distinction
• 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's braid in Braid theory - a four strand braid
• Gauss–Codazzi equations
• Gauss code
• Gauss–Hermite quadrature
• Gauss House, a student study space at the University of Sussex
• 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 reciprocal of the AGM of 1 and $\scriptstyle {\sqrt {2}}$, 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
• Gauss error function
• Gauss's generalization of Wilson's theorem
• Gauss's complex multiplication algorithm
• 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's lemma in Riemannian geometry
• Gauss map
• Gauss Peninsula, East Greenland
• Gauss sum, an exponential sum over Dirichlet characters
• 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
• Gaußberg, a hill in Braunschweig
• 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, 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
• Fermat's last theorem for n = 3 and n = 5
• Descartes' rule of signs

proofs for theorems he discovered himself:

• Discovered and proved the theorema egregium
• Gauss's pentagramma mirificum.
• Gauss stated and proved the fundamental theorem of normal axonometry.
• Gauss developed an algorithm for determining the date of Easter.
• Gauss invented the Cooley–Tukey FFT algorithm for calculating the discrete Fourier transforms 160 years before them.
• Gauss discovered Dirichlet's class number formula, a profound result which paved the way for many later deep results.
• Gauss was an early pioneer in topology and knot theory, discovering many early results.

Gauss's identities

• (In French and German literature in particular) Gauss identity may refer to Green's reciprocity theorem^[1]
• Gauss multiplication formula may refer to the multiplication theorem
• Gauss transformation
• Gauss's inequality
• Gauss theorems (two theorems) about the Euler function

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's conjecture related to the number of real zeroes of a polynomial - known as the Hawaii conjecture.
• Gauss made progress toward proving the Kepler conjecture

References

1. Data Acquisition in High Energy Physics: Proceedings. 1983. p. 85. ISBN 978-0444865205.