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Carl Friedrich Gauss information


Carl Friedrich Gauss
Portrait of arl Friedrich Gauss 1840 by Jensen
Portrait by Christian Albrecht Jensen, 1840 (copy from Gottlieb Biermann, 1887)[1]
Born
Johann Carl Friedrich Gauss

(1777-04-30)30 April 1777
Brunswick, Principality of Brunswick-Wolfenbüttel, Holy Roman Empire
Died23 February 1855(1855-02-23) (aged 77)
Göttingen, Kingdom of Hanover, German Confederation
Alma mater
  • Collegium Carolinum
  • University of Göttingen
  • University of Helmstedt (PhD)
Known forFull list
Spouses
Johanna Osthoff
(m. 1805; died 1809)
Minna Waldeck
(m. 1810; died 1831)
Children6
Awards
  • Lalande Prize (1809)
  • Copley Medal (1838)
Scientific career
FieldsMathematics, Astronomy, Geodesy, Magnetism
InstitutionsUniversity of Göttingen
ThesisDemonstratio nova... (1799)
Doctoral advisorJohann Friedrich Pfaff
Doctoral students
 
  • Richard Dedekind
  • Christian Ludwig Gerling
  • Wilhelm Klinkerfues
  • Johann Benedict Listing
  • Bernhard Riemann
  • August Ritter
  • Karl von Staudt
Other notable students
 
  • Gotthold Eisenstein
  • Johann Franz Encke
  • Carl Wolfgang Benjamin Goldschmidt
  • Adolph Theodor Kupffer
  • August Ferdinand Möbius
  • Moritz Stern
  • Georg Frederik Ursin
  • Moritz Ludwig Wichmann
Signature

Johann Carl Friedrich Gauss (German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ;[2][3] Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German mathematician, astronomer, geodesist, and physicist who contributed to many fields in mathematics and science. He ranks among history's most influential mathematicians and has been referred to as the "Prince of Mathematicians". He was director of the Göttingen Observatory and professor for astronomy for nearly half a century, from 1807 until his death in 1855.

While still a student at the University of Göttingen, he propounded several mathematical theorems. Gauss completed his masterpieces Disquisitiones Arithmeticae and Theoria motus corporum coelestium as a private scholar. He gave the second and third complete proofs of the fundamental theorem of algebra, made contributions to number theory, and developed the theories of binary and ternary quadratic forms. He is considered one of the discoverers of non-Euclidean geometry alongside Nikolai Lobachevsky and János Bolyai and coined that term.

Gauss was instrumental in the identification of the new newly discovered Ceres as a dwarf planet. His work on the motion of planetoids disturbed by large planets led to the introduction of the Gaussian gravitational constant and the method of least squares, which he had discovered before Adrien-Marie Legendre published on the method.

Gauss was in charge of the extensive geodetic survey of the Kingdom of Hanover together with an arc measurement project from 1820 to 1844, did much of the fieldwork, and provided the complete scientific evaluation. Furthermore, he was one of the founders of geophysics while formulating the fundamental principles of magnetism, and did basic practical research in this field. Fruits of his practical works were the inventions of the heliotrope in 1821, a magnetometer in 1833 and, alongside Wilhelm Eduard Weber, the first electromagnetic telegraph in 1833.

Gauss was a careful author who refused to publish incomplete work, and although having published extensively during his life, he left behind several works to be edited posthumously. He believed that the act of learning, not possession of knowledge, provided the greatest enjoyment. Gauss confessed to dislike teaching, but some of his students became influential mathematicians.

  1. ^ Axel D. Wittmann, Inna V. Oreshina (2009). "On Jensen's Paintings of C. F. Gauss". Mitteilungen der Gauss-Gesellschaft (46): 57–61.
  2. ^ Duden – Das Aussprachewörterbuch [The Pronunciation Dictionary] (in German) (7th ed.). Berlin: Dudenverlag. 2015 [1962]. pp. 246, 381, 391. ISBN 978-3-411-04067-4.
  3. ^ Krech, Eva-Maria; Stock, Eberhard; Hirschfeld, Ursula; Anders, Lutz-Christian (2009). Deutsches Aussprachewörterbuch [German Pronunciation Dictionary] (in German). Berlin: W alter de Gruyter. pp. 402, 520, 529. ISBN 978-3-11-018202-6.

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Carl Friedrich Gauss

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Johann Carl Friedrich Gauss (German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German mathematician...

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List of things named after Carl Friedrich Gauss

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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...

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Carl Friedrich Gauss Prize

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The Carl Friedrich Gauss Prize for Applications of Mathematics is a mathematics award, granted jointly by the International Mathematical Union and the...

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Gaussian elimination

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and the inverse of an invertible matrix. The method is named after Carl Friedrich Gauss (1777–1855). To perform row reduction on a matrix, one uses a sequence...

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Quadratic Gauss sum

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general character, one obtains a more general Gauss sum. These objects are named after Carl Friedrich Gauss, who studied them extensively and applied them...

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Disquisitiones Arithmeticae

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Investigations) is a textbook on number theory written in Latin by Carl Friedrich Gauss in 1798, when Gauss was 21, and published in 1801, when he was 24. It had a...

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Johann Friedrich Pfaff

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precursor of the German school of mathematical thinking, under which Carl Friedrich Gauss and his followers largely determined the lines on which mathematics...

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Gaussian integer

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integers. Gaussian integers are named after the German mathematician Carl Friedrich Gauss. The Gaussian integers are the set Z [ i ] = { a + b i ∣ a , b ∈...

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Gaussian function

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constants a, b and non-zero c. It is named after the mathematician Carl Friedrich Gauss. The graph of a Gaussian is a characteristic symmetric "bell curve"...

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Gaussian quadrature

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numerical analysis, an n-point Gaussian quadrature rule, named after Carl Friedrich Gauss, is a quadrature rule constructed to yield an exact result for polynomials...

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Gauss map

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value N(p) is a unit vector orthogonal to X at p. The Gauss map is named after Carl F. Gauss. The Gauss map can be defined (globally) if and only if the surface...

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Number theory

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study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number...

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Shoelace formula

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Albrecht Ludwig Friedrich Meister (1724–1788) in 1769 and is based on the trapezoid formula which was described by Carl Friedrich Gauss and C.G.J. Jacobi...

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Gaussian curvature

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content of the Theorema egregium. Gaussian curvature is named after Carl Friedrich Gauss, who published the Theorema egregium in 1827. At any point on a surface...

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Gaussian integral

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over the entire real line. Named after the German mathematician Carl Friedrich Gauss, the integral is ∫ − ∞ ∞ e − x 2 d x = π . {\displaystyle \int _{-\infty...

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Wilhelm Eduard Weber

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October 1804 – 23 June 1891) was a German physicist and, together with Carl Friedrich Gauss, inventor of the first electromagnetic telegraph. Weber was born...

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Least squares

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Adrien-Marie Legendre (1805), though it is usually also co-credited to Carl Friedrich Gauss (1809), who contributed significant theoretical advances to the method...

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Degaussing

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magnetic field. It is named after the gauss, a unit of magnetism, which in turn was named after Carl Friedrich Gauss. Due to magnetic hysteresis, it is generally...

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