Alfred Clebsch | |
---|---|

Rudolf Friedrich Alfred Clebsch | |

Born | |

Died | 7 November 1872 39) | (aged

Nationality | Prussian |

Alma mater | University of Königsberg |

Known for | Clebsch surface Clebsch–Gordan coefficients Clebsch representation |

Awards | Prix Poncelet ^{ [1] } |

Scientific career | |

Fields | Mathematics |

Doctoral advisor | Franz Ernst Neumann |

Doctoral students | Gottlob Frege Alexander von Brill |

**Rudolf Friedrich Alfred Clebsch** (19 January 1833 – 7 November 1872) was a German mathematician who made important contributions to algebraic geometry and invariant theory. He attended the University of Königsberg and was habilitated at Berlin. He subsequently taught in Berlin and Karlsruhe. His collaboration with Paul Gordan in Giessen led to the introduction of Clebsch–Gordan coefficients for spherical harmonics, which are now widely used in quantum mechanics.

Together with Carl Neumann at Göttingen, he founded the mathematical research journal * Mathematische Annalen * in 1868.

In 1883 Adhémar Jean Claude Barré de Saint-Venant translated Clebsch's work on elasticity into French and published it as *Théorie de l'élasticité des Corps Solides*.

- Vorlesungen über Geometrie (Teubner, Leipzig, 1876-1891) edited by Ferdinand Lindemann.
- Théorie der binären algebraischen Formen (Teubner, 1872)
- Theorie der Abelschen Functionen with P. Gordan (B. G. Teubner, 1866)
- Theorie der Elasticität fester Körper (B. G. Teubner, 1862)

**Christian Felix Klein** was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory. His 1872 Erlangen program, classifying geometries by their basic symmetry groups, was an influential synthesis of much of the mathematics of the time.

**Marius Sophus Lie** was a Norwegian mathematician. He largely created the theory of continuous symmetry and applied it to the study of geometry and differential equations.

**Ferdinand Georg Frobenius** was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory. He is known for the famous determinantal identities, known as Frobenius–Stickelberger formulae, governing elliptic functions, and for developing the theory of biquadratic forms. He was also the first to introduce the notion of rational approximations of functions, and gave the first full proof for the Cayley–Hamilton theorem. He also lent his name to certain differential-geometric objects in modern mathematical physics, known as Frobenius manifolds.

**Eduard Study**, more properly **Christian Hugo Eduard Study**, was a German mathematician known for work on invariant theory of ternary forms (1889) and for the study of spherical trigonometry. He is also known for contributions to space geometry, hypercomplex numbers, and criticism of early physical chemistry.

**Carl Gottfried Neumann** was a German mathematician.

**Paul Albert Gordan** was a Jewish-German mathematician, a student of Carl Jacobi at the University of Königsberg before obtaining his Ph.D. at the University of Breslau (1862), and a professor at the University of Erlangen-Nuremberg.

**Max Abraham** was a German physicist. Abraham was born in Danzig, Imperial Germany to a family of Jewish merchants. His father was Moritz Abraham and his mother was Selma Moritzsohn. Attending the University of Berlin, he studied under Max Planck. He graduated in 1897. For the next three years, Abraham worked as Planck's assistant..

**Georg Karl Wilhelm Hamel** was a German mathematician with interests in mechanics, the foundations of mathematics and function theory.

**Gyula Kőnig** was a mathematician from Hungary. His mathematical publications in German appeared under the name **Julius König**. His son Dénes Kőnig was a graph theorist.

**Leo Königsberger** was a German mathematician, and historian of science. He is best known for his three-volume biography of Hermann von Helmholtz, which remains the standard reference on the subject.

**Karl Emanuel Robert Fricke** was a German mathematician, known for his work in complex analysis, especially on elliptic, modular and automorphic functions. He was one of the main collaborators of Felix Klein, with whom he produced two classic, two-volume monographs on elliptic modular functions and automorphic functions.

This is a **timeline of the theory of abelian varieties** in algebraic geometry, including elliptic curves.

In mathematics, the **Schwarz alternating method** or **alternating process** is an iterative method introduced in 1869-1870 by Hermann Schwarz in the theory of conformal mapping. Given two overlapping regions in the complex plane in each of which the Dirichlet problem could be solved, Schwarz described an iterative method for solving the Dirichlet problem in their union, provided their intersection was suitably well behaved. This was one of several constructive techniques of conformal mapping developed by Schwarz as a contribution to the problem of uniformization, posed by Riemann in the 1850s and first resolved rigorously by Koebe and Poincaré in 1907. It furnished a scheme for uniformizing the union of two regions knowing how to uniformize each of them separately, provided their intersection was topologically a disk or an annulus. From 1870 onwards Carl Neumann also contributed to this theory.

**Erich Kamke** was a German mathematician, who specialized in the theory of differential equations. Also, his book on set theory became a standard introduction to the field.

**Emil Hilb** was a German-Jewish mathematician who worked in the fields of special functions, differential equations, and difference equations. He was one of the authors of the *Enzyklopädie der mathematischen Wissenschaften*, contributing on the topics of trigonometric series and differential equations. He wrote a book on Lamé functions.

**David Bierens de Haan** was a Dutch mathematician and historian of science.

**Niels Nielsen** was a Danish mathematician who specialized in mathematical analysis.

**Paul Rudolf Eugen Jahnke** was a German mathematician.

**Maximilian Simon** was a German historian of mathematics and mathematics teacher. He was concerned mostly with mathematics in the antiquity.

**Carl Friedrich Geiser** was a Swiss mathematician, specializing in algebraic geometry. He is known for the Geiser involution and Geiser's minimal surface.

- ↑ "Prix".
*Comptes rendus hebdomadaires des séances de l'Académie des sciences*. Tomes LXII à XCI, 2 Janvier 1866 à 27 Décembre 1880. Paris: Gauthier-Villars. 1888. p. 1457.

This page is based on this Wikipedia article

Text is available under the CC BY-SA 4.0 license; additional terms may apply.

Images, videos and audio are available under their respective licenses.

Text is available under the CC BY-SA 4.0 license; additional terms may apply.

Images, videos and audio are available under their respective licenses.