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. The English eponymous adjective Gaussian is pronounced .

Mathematics

AlgebraAlgebra and linear algebralinear algebra

GeometryGeometry and differential geometrydifferential geometry

Number theoryNumber theory

Cyclotomic fieldCyclotomic 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

AnalysisAnalysis, numerical analysisnumerical analysis, vector calculusvector calculus and calculus of variationscalculus of variations

Complex analysisComplex analysis and convex analysisconvex 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

• Gauss plane

Statistics

• 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

• Gauss-Helmert model

Gaussian function and topics named for it

Knot theory

• Gauss code – described on website of University of Toronto

• Gauss linking integral (knot theory)

Other mathematical areas

• Gauss's algorithm for determination of the day of the week

• Gauss's Easter algorithm

• Gaussian brackets – described on WolframMathWorld

• Gaussian's modular arithmetic

• Gaussian integer, usually written as

• Gaussian prime

  Gaussian logarithms (also known as addition and subtraction logarithms)

• Gauss congruence for integer sequences

Cartography

• Gauss–Krüger coordinate system

• Gaussian grid

Physics

OpticsOptics

• Gauss lens

• Double-Gauss lens

• Gaussian optics

Classical mechanicsClassical mechanics

• Gauss's principle of least constraint

For orbit determination in orbital mechanics:

• Gauss's law for gravity

• Gaussian gravitational constant

• Gaussian year

• Gauss's method

Quantum mechanicsQuantum mechanics

• Gaussian orbital

ElectromagnetismElectromagnetism

• Gaussian units

• gauss, the CGS unit for magnetic flux density

• Degaussing, to demagnetize an object

• Gauss rifle or coilgun

• Gauss's law for magnetism

Gaussian surface

• Gauss's law, giving the relationship between flux through a closed surface and the enclosed source

  Gauss gun

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

Other things named for him

Biology

• 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".

• Gaussia, a genus of copepods

Informatics

• Gaussian, a computational chemistry software program

• GAUSS, a matrix programming language for mathematics and statistics

Place names and expedition named in his honour

Terrestrial

The Gauss expedition, the first German expedition to Antarctica (1901–1903)

• The ship Gauss, used in the Gauss expedition to the Antarctic

• Gaussberg in Antarctica, an extinct volcano discovered by the Gauss expedition

• Mount Gauss, in Antarctica

• Gauss Peninsula, East Greenland

• Gaussberg, a hill in Braunschweig

Celestial

• Crater Gauss on the Moon

• Asteroid 1001 Gaussia

Institutions and buildings named in his honour

• The Carl-Friedrich-Gauss Fakultät of Braunschweig University of Technology

• Several schools in Germany named after Gauss

Several buildings named "Gauss Haus" or "Gauss Building":

• Gauss Tower, an observation tower in Dransfeld, Germany

• 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

Monuments, busts, and memorial plaques

Gauss Monuments were erected in Brunswick and Göttingen (the last together with Weber). Bustss of Gauss were placed in the Walhalla hall of fame near Regensburg and in the German Research Centre for Geosciences in Potsdam. Several places where Gauss has stayed in Germany are marked with plaques.

Other commemorations

Germany issued three postage stamps honoring Gauss, one in 1955 on the hundredth anniversary of his death and two others in 1977, the 200th anniversary of his birth.

References