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Walther Franz Anton von Dyck (6 December 1856 – 5 November 1934), born Dyck and later
ennobled Nobility is a social class A social class is a set of concepts in the social sciences and political theory Political philosophy is the philosophical study of government A government is the system or group of people gove ...
, was a
German German(s) may refer to: Common uses * of or related to Germany * Germans, Germanic ethnic group, citizens of Germany or people of German ancestry * For citizens of Germany, see also German nationality law * German language The German la ...

German
mathematician A mathematician is someone who uses an extensive knowledge of mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces ...

mathematician
. He is credited with being the first to define a mathematical
group A group is a number A number is a mathematical object used to counting, count, measurement, measure, and nominal number, label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with ...
, in the modern sense in . He laid the foundations of
combinatorial group theoryIn mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generator (mathematics), generators and relation (mathematics), relations. It is much used in geometric topology, the fundamental ...
, being the first to systematically study a group by generators and relations.


Biography

Von Dyck was a student of
Felix Klein Christian Felix Klein (; 25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory In mathematics Mathematics (from Greek: ) includes the study of such topics as ...
, and served as chairman of the commission publishing
Klein's encyclopedia Felix Klein's ''Encyclopedia of Mathematical Sciences'' is a German mathematical encyclopedia published in six volumes from 1898 to 1933. Klein and Wilhelm Franz Meyer were organizers of the encyclopedia. Its full title in English is Encyclopedia ...
. Von Dyck was also the editor of works. He promoted technological education as rector of the
Technische Hochschule of Munich The Technical University of Munich (TUM or TU Munich) (german: Technische Universität München) is a public research university in Munich, with additional campuses in Garching, Freising, Heilbronn and Singapore. A Technische Hochschule, technica ...
. He was a Plenary Speaker of the ICM in 1908 at Rome. Von Dyck is the son of the Bavarian painter
Hermann Dyck Hermann Dyck (4 October 1812 – 25 March 1874), a Bavarian painter, born at Würzburg in 1812, studied architectural and genre painting at Munich. His works are original and of great humour, and are neatly and carefully executed. The satirical des ...
.


Legacy

The
Dyck languageDyck is a form the Dutch surname (van) Dijck, which is also wide spread among Russian Mennonites. It may refer to: * Anthony van Dyck (1599–1641), Flemish artist * Cornelius Van Allen Van Dyck (1818–1895), American missionary * Howard Dyck (bor ...
in formal language theory is named after him, as are
Dyck's theorem with ''x''-, ''y''-, and ''z''-contours shown. In the part of mathematics referred to as topology, a surface is a two-dimensional manifold. Some surfaces arise as the Manifold#Manifold_with_boundary, boundaries of three-dimensional solids; for e ...
and
Dyck's surface with ''x''-, ''y''-, and ''z''-contours shown. In the part of mathematics referred to as topology, a surface is a two-dimensional manifold. Some surfaces arise as the Manifold#Manifold_with_boundary, boundaries of three-dimensional solids; for e ...
in the theory of
surface File:Water droplet lying on a damask.jpg, Water droplet lying on a damask. Surface tension is high enough to prevent floating below the textile. A surface, as the term is most generally used, is the outermost or uppermost layer of a physical obje ...
s, together with the von Dyck groups, the Dyck tessellations, Dyck paths, and the Dyck graph.


Publications

* .


Notes


References

* Ulf Hashagen: ''Walther von Dyck (1856–1934). Mathematik, Technik und Wissenschaftsorganisation an der TH München'', Franz Steiner Verlag, Stuttgart 2003,


External links

* * 1856 births 1934 deaths Scientists from Munich 19th-century German mathematicians 20th-century German mathematicians German untitled nobility Group theorists Combinatorialists People from the Kingdom of Bavaria Technical University of Munich faculty Presidents of the Technical University of Munich {{Germany-mathematician-stub