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 /ˈɡaʊsiən/. [1]
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
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
- 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
- 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
- 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
- Gauss's inequality
- Gauss-Helmert model
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 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
- 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 Zi
- Gaussian logarithms (also known as addition and subtraction logarithms)
Cartography
Physics
Optics
Classical mechanics
Quantum mechanics
Electromagnetism
- 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
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". [2]
- Gaussia, a genus of copepods
Informatics
- Gaussian, a computational chemistry software program
- GAUSS[ citation needed], a matrix programming language for mathematics and statistics
Place names and expedition named in his honour
.JPG)
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 [3]
- Asteroid 1001 Gaussia
Institutions and buildings named in his honour
- The Carl-Friedrich-Gauss Fakultät of Braunschweig University of Technology [4]
- 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). 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.
-
![Bust by Hans Weddo von Glümer (1895) in the German Research Centre for Geosciences in Potsdam[5]](https://upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Carl.Friedrich.Gauss.Bueste.vor1900.GFZ.jpg/86px-Carl.Friedrich.Gauss.Bueste.vor1900.GFZ.jpg)
-
![Bust by Friedrich Künkler (1810)[6]](https://upload.wikimedia.org/wikipedia/commons/thumb/0/01/Carl_Friedrich_Gau%C3%9F%2C_B%C3%BCste_von_Friedrich_K%C3%BCnkler%2C_001.jpg/85px-Carl_Friedrich_Gau%C3%9F%2C_B%C3%BCste_von_Friedrich_K%C3%BCnkler%2C_001.jpg)
Bust by Friedrich Künkler (1810) [6] -
Gauss memorial on the Wilseder Berg, highest point in the Luneburg Heath -
A bust of Gauss is placed in the Walhalla since 2007
![Bust by Hans Weddo von Glümer (1895) in the German Research Centre for Geosciences in Potsdam[5]](/info/en/?search=File:Carl.Friedrich.Gauss.Bueste.vor1900.GFZ.jpg)
![Bust by Friedrich Künkler (1810)[6]](/info/en/?search=File:Carl_Friedrich_Gau%C3%9F,_B%C3%BCste_von_Friedrich_K%C3%BCnkler,_001.jpg)
Other commemorations
From 1989 through 2002, Gauss's portrait, a normal distribution curve and some prominent Göttingen buildings, were featured on the front-side of a German ten-mark banknote. The reverse featured a part of the Hanoverian triangulation and his invention of a vice heliotrope. [7] Germany has also 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.
-
German 10- Deutsche Mark Banknote (1993) with formula and graph of normal distribution; portrait as mirror image of the Jensen portrait (background: some Göttingen buildings) -
Back of German 10-Deutsche Mark Banknote (1993) with vice heliotrope and a section of the triangulation network (background: mathematical signs) -
Medal for Gauss (1856, front) -
Medal for Gauss (1856, back) "mathematicorum principi" -
Commemorative coin (Federal Republic of Germany, 1977) -
Commemorative coin (German Democratic Republic, 1977)
References
- ^ Wells, John (2008). Longman Pronunciation Dictionary (3rd ed.). Pearson Longman. ISBN 978-1-4058-8118-0.
- ^ Wendland, H., 1865. Ueber die neue Palmengatung Gaussia. Nachr. Königl. Ges. Wiss. Georg-Augusts-Univ. 1865.
- ^ Andersson, L. E.; Whitaker, E. A., (1982). NASA Catalogue of Lunar Nomenclature. NASA RP-1097.
- ^ Carl-Friedrich-Gauß-Fakultät
- ^ Reich, Karin (2019). "Bessel, Gauß und Baeyer: Drei Büsten im ehemalig Königlich Geodätischen Institut Potsdam, heute Helmert-Haus, im 'Wissenschaftspark Albert Einstein, Telegrafenberg Potsdam'". Mitteilungen der Gauss-Gesellschaft (in German) (56): 67–74.
- ^ Michling, Horst (1966). "Zur Gaußbüste von Friedrich Künkler". Mitteilungen der Gauss-Gesellschaft (in German) (3): 3–4.
- ^ Voigt, Hans-Heinrich (1991). "Carl Friedrich Gauss auf dem neuen Zehn-Mark-Schein". Sterne und Weltraum. 30 (8–9): 490–491.
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 /ˈɡaʊsiən/. [1]
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
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
- 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
- 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
- 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
- Gauss's inequality
- Gauss-Helmert model
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 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
- 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 Zi
- Gaussian logarithms (also known as addition and subtraction logarithms)
Cartography
Physics
Optics
Classical mechanics
Quantum mechanics
Electromagnetism
- 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
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". [2]
- Gaussia, a genus of copepods
Informatics
- Gaussian, a computational chemistry software program
- GAUSS[ citation needed], 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 [3]
- Asteroid 1001 Gaussia
Institutions and buildings named in his honour
- The Carl-Friedrich-Gauss Fakultät of Braunschweig University of Technology [4]
- 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). 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.
-
-
Bust by Friedrich Künkler (1810) [6]
-
Gauss memorial on the Wilseder Berg, highest point in the Luneburg Heath
-
A bust of Gauss is placed in the Walhalla since 2007
Other commemorations
From 1989 through 2002, Gauss's portrait, a normal distribution curve and some prominent Göttingen buildings, were featured on the front-side of a German ten-mark banknote. The reverse featured a part of the Hanoverian triangulation and his invention of a vice heliotrope. [7] Germany has also 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.
-
German 10- Deutsche Mark Banknote (1993) with formula and graph of normal distribution; portrait as mirror image of the Jensen portrait (background: some Göttingen buildings)
-
Back of German 10-Deutsche Mark Banknote (1993) with vice heliotrope and a section of the triangulation network (background: mathematical signs)
-
Medal for Gauss (1856, front)
-
Medal for Gauss (1856, back) "mathematicorum principi"
-
Commemorative coin (Federal Republic of Germany, 1977)
-
Commemorative coin (German Democratic Republic, 1977)
References
- ^ Wells, John (2008). Longman Pronunciation Dictionary (3rd ed.). Pearson Longman. ISBN 978-1-4058-8118-0.
- ^ Wendland, H., 1865. Ueber die neue Palmengatung Gaussia. Nachr. Königl. Ges. Wiss. Georg-Augusts-Univ. 1865.
- ^ Andersson, L. E.; Whitaker, E. A., (1982). NASA Catalogue of Lunar Nomenclature. NASA RP-1097.
- ^ Carl-Friedrich-Gauß-Fakultät
- ^ Reich, Karin (2019). "Bessel, Gauß und Baeyer: Drei Büsten im ehemalig Königlich Geodätischen Institut Potsdam, heute Helmert-Haus, im 'Wissenschaftspark Albert Einstein, Telegrafenberg Potsdam'". Mitteilungen der Gauss-Gesellschaft (in German) (56): 67–74.
- ^ Michling, Horst (1966). "Zur Gaußbüste von Friedrich Künkler". Mitteilungen der Gauss-Gesellschaft (in German) (3): 3–4.
- ^ Voigt, Hans-Heinrich (1991). "Carl Friedrich Gauss auf dem neuen Zehn-Mark-Schein". Sterne und Weltraum. 30 (8–9): 490–491.