List of things named after Carl Friedrich Gauss

German 10-Deutsche Mark Banknote (1993; discontinued) featuring 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.

Mathematics

Various Gaussian curvatures

Geometry and differential geometry

Gauss map

• Gauss–Bodenmiller theorem - described on website of University of Crete
• Gauss–Bolyai–Lobachevsky space, a hyperbolic geometry
• Gauss–Bonnet theorem, a theorem about curvature in differential geometry
  • Generalized Gauss–Bonnet theorem in differential geometry
• Gauss's braid in Braid theory – a four strand braid
• Gauss–Codazzi equations
• Gauss–Manin connection, a connection on a vector bundle over a family of algebraic varieties
• Gauss–Newton line – described in Journal for Geometry and Graphics, see also Newton line
• Gauss's area formula
• Gauss's lemma in Riemannian geometry
• Gauss map in differential geometry
• Gaussian curvature, defined in his Theorema egregium
• Gauss circle problem

Number theory

Gaussian moat

• Gauss–Kuzmin–Wirsing constant, a constant in number theory
• Gauss's constant, the reciprocal of the AGM of 1 and
• Gauss's digamma theorem, a theorem about the digamma function
• Gauss's generalization of Wilson's theorem
• Gauss's lemma in number theory
• Gauss composition – described on website of University of Université de Montréal
• Gauss map in number theory
• Gaussian moat
• Gauss class number problem
• Gauss's multiplication formula

Cyclotomic fields

• Gaussian period
• Gaussian rational
• Gauss sum, an exponential sum over Dirichlet characters
  • Elliptic Gauss sum, an analog of a Gauss sum
  • Quadratic Gauss sum

Analysis, numerical analysis, vector calculus and calculus of variations

Comparison between 2-point Gaussian and trapezoidal quadrature.

• Gaussian quadrature
• Gauss–Hermite quadrature
• Gauss–Jacobi quadrature
• Gauss–Kronrod quadrature formula
• Gauss–Newton algorithm
• Gauss–Legendre algorithm
• Gauss's complex multiplication algorithm
• Gauss's theorem may refer to the divergence theorem, which is also known as the Ostrogradsky–Gauss theorem
• Gauss pseudospectral method

Complex analysis and convex analysis

• Gauss–Lucas theorem
• Gauss's continued fraction, an analytic continued fraction derived from the hypergeometric functions
• Gauss's criterion – described on Encyclopedia of Mathematics
• Gauss's hypergeometric theorem, an identity on hypergeometric series

Statistics

Gaussian copula

• Gauss–Kuzmin distribution, a discrete probability distribution
• Gauss–Markov process
• Gauss–Markov theorem
• Gaussian copula
• Gaussian measure
  • Gaussian correlation inequality
  • Gaussian isoperimetric inequality
• Gauss's inequality

Gaussian function and topics named for it

Gaussian curve with a 2-dimensional domain

• The Normal Distribution, also known at the Gaussian distribution, the most common bell curve in statistics
• The Gaussian function, the function used in the normal distribution, but also used elsewhere
• The Exponentially modified Gaussian distribution or function, used for description of peak shape in many techniques
• Gauss error function
• Gaussian process
• Gaussian filter
• Gauss–Laplace pyramid, sometimes called the Burt–Adelson pyramid - described on computervisionpoints.com
• Gauss iterated map (dynamical systems)
• Additive white Gaussian noise
• Gaussian beam
• Gaussian blur, a technique in image processing
• Gaussian fixed point
• Gaussian random field
  • Gaussian free field
• Gaussian integral
• Gaussian variogram model
• Gaussian mixture model
• Gaussian network model
• Gaussian noise
• Gaussian smoothing
• Inverse Gaussian distribution, also known as the Wald distribution

Knot theory

Linking integral

• Gauss code - described on website of University of Toronto
• Gauss linking integral (knot theory)

Cartography

Gaussian grid points

• Gauss–Krüger coordinate system
• Gaussian grid

Physics

• Gaussian optics

Electromagnetism

Gauss gun

• gauss, the CGS unit for magnetic field
• Degaussing, to demagnetize an object
• Gauss gun or Gauss rifle
• Gauss's law for magnetism
• Gaussian surface
  • Gauss's law, giving the relationship between flux through a closed surface and the enclosed source

Awards and recognitions

• Carl Friedrich Gauss Prize, a mathematics award
• Gauss Lectureship, a mathematical distinction
• The Gauss Mathematics Competition in Canadian junior high schools, an annual national mathematics competition administered by the Centre for Education in Mathematics and Computing

Place names and expedition named in his honor

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

• The Gauss expedition, the first German expedition to Antarctica
  • The ship Gauss, used in the Gauss expedition to the Antarctic
  • Gaussberg, an extinct volcano discovered by the above-mentioned expedition
• The crater Gauss on the Moon^[1]
• Asteroid 1001 Gaussia
• Gauss Peninsula, East Greenland
• Gauss Tower, an observation tower in Dransfeld, Germany
• Gaußberg, a hill in Braunschweig
• Several buildings named "Gauss Haus" or "Gauss Building":
  • The Gauss Building at the University of Idaho (College of Engineering)
  • Gauss Haus, an NMR center at the University of Utah
  • The 'Gauss House', a common room in the University of Sussex Mathematical and Physical Sciences department.
  • A dormitory building is named after him in University of California, Santa Cruz, in Crown College

Institutions named in his honor

• The Carl-Friedrich-Gauß School for Mathematics, Computer Science, Business Administration, Economics, and Social Sciences of Braunschweig University of Technology
• The Carl-Friedrich-Gauss Gymnasium (a school for grades 5–13) in Worms, Germany

Other things named for him

Gaussia maya

• Gaussia, a palm genus described by Hermann Wendland with the then new species Gaussia princeps, collected by Charles Wright in western Cuba. Named in “memoriam astronomi Caroli Friderici Gauss”.^[2]
• Gaussia, a genus of copepods
• Gaussian, a computational chemistry software program
• GAUSS, a matrix programming language for mathematics and statistics

References