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

Algebra and linear algebra

• Gaussian elimination, also known as row reduction or Gaussian method • Gauss–Jordan elimination • Gauss–Seidel method • Gauss's cyclotomic formula • Gauss's lemma in relation to polynomials • Gaussian binomial coefficient, also called Gaussian polynomial or Gaussian coefficient • Gauss transformation, also called Frobenius matrix

Geometry and differential geometry

• 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 for 2d surfaces • *Chern–Gauss–Bonnet theorem in differential geometry, Shiing-Shen Chern's generalization of the above theorem to higher dimensions • 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

• 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 law – 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

Analysis, numerical analysis, vector calculus and calculus of variations

• 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 • Gauss transform, also known as Weierstrass transform.

Complex analysis and convex analysis

Statistics

Gaussian function and topics named for it

• The normal distribution, also known as 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 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 • The inverse Gaussian distribution, also known as the Wald distribution

Knot theory

Other mathematical areas

Z[i]

Cartography

Physics

Optics

Classical mechanics

Quantum mechanics

Electromagnetism

Awards and recognitions

Other things named for him

Biology

Informatics

Place names and expedition named in his honour

Terrestrial Celestial

Institutions and buildings named in his honour

Monuments, busts, and memorial plaques

Gauss Monuments were erected in Brunswick and Göttingen (the last together with Weber). Busts 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.