Heinrich Martin Weber (5 March 1842,

Heidelberg Heidelberg (; ; ) is the List of cities in Baden-Württemberg by population, fifth-largest city in the States of Germany, German state of Baden-Württemberg, and with a population of about 163,000, of which roughly a quarter consists of studen ...

Germany Germany, officially the Federal Republic of Germany, is a country in Central Europe. It lies between the Baltic Sea and the North Sea to the north and the Alps to the south. Its sixteen States of Germany, constituent states have a total popu ...

– 17 May 1913,

Straßburg Strasbourg ( , ; ; ) is the prefecture and largest city of the Grand Est region of eastern France, in the historic region of Alsace. It is the prefecture of the Bas-Rhin department and the official seat of the European Parliament. The cit ...

, Alsace-Lorraine,

German Empire The German Empire (),; ; World Book, Inc. ''The World Book dictionary, Volume 1''. World Book, Inc., 2003. p. 572. States that Deutsches Reich translates as "German Realm" and was a former official name of Germany. also referred to as Imperia ...

, now

Strasbourg Strasbourg ( , ; ; ) is the Prefectures in France, prefecture and largest city of the Grand Est Regions of France, region of Geography of France, eastern France, in the historic region of Alsace. It is the prefecture of the Bas-Rhin Departmen ...

France France, officially the French Republic, is a country located primarily in Western Europe. Overseas France, Its overseas regions and territories include French Guiana in South America, Saint Pierre and Miquelon in the Atlantic Ocean#North Atlan ...

) was a German

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

. Weber's main work was in

algebra Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...

number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...

, and

analysis Analysis (: analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...

. He is best known for his text ''Lehrbuch der Algebra'' published in 1895 and much of it is his original research in algebra and number theory. His work ''Theorie der algebraischen Functionen einer Veränderlichen'' (with

Dedekind Julius Wilhelm Richard Dedekind (; ; 6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to number theory, abstract algebra (particularly ring theory), and the axiomatic foundations of arithmetic. H ...

) established an algebraic foundation for

Riemann surface In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed vers ...

s, allowing a purely algebraic formulation of the

Riemann–Roch theorem The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeros and allowed poles. It re ...

. Weber's research papers were numerous, most of them appearing in ''

Crelle's Journal ''Crelle's Journal'', or just ''Crelle'', is the common name for a mathematics journal, the ''Journal für die reine und angewandte Mathematik'' (in English: ''Journal for Pure and Applied Mathematics''). History The journal was founded by A ...

'' or ''

Mathematische Annalen ''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors were Felix Klein, David Hilbert, ...

''. He was the editor of Riemann's collected works. Weber was born in

Baden Baden (; ) is a historical territory in southern Germany. In earlier times it was considered to be on both sides of the Upper Rhine, but since the Napoleonic Wars, it has been considered only East of the Rhine. History The margraves of Ba ...

, and entered the

University of Heidelberg Heidelberg University, officially the Ruprecht Karl University of Heidelberg (; ), is a public university, public research university in Heidelberg, Baden-Württemberg, Germany. Founded in 1386 on instruction of Pope Urban VI, Heidelberg is List ...

in 1860. In 1866 he became a privatdozent, and in 1869 he was appointed as extraordinary professor at that school. Weber also taught in

Zürich Zurich (; ) is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zurich. It is in north-central Switzerland, at the northwestern tip of Lake Zurich. , the municipality had 448,664 inhabitants. The ...

at the Federal Polytechnic Institute (today the

ETH Zurich ETH Zurich (; ) is a public university in Zurich, Switzerland. Founded in 1854 with the stated mission to educate engineers and scientists, the university focuses primarily on science, technology, engineering, and mathematics. ETH Zurich ran ...

), at the

University of Königsberg The University of Königsberg () was the university of Königsberg in Duchy of Prussia, which was a fief of Poland. It was founded in 1544 as the world's second Protestant Reformation, Protestant academy (after the University of Marburg) by Duke A ...

, and at the

Technische Hochschule A ''Technische Hochschule'' (, plural: ''Technische Hochschulen'', abbreviated ''TH'') is a type of university focusing on engineering sciences in Germany. Previously, it also existed in Austria, Switzerland, the Netherlands (), and Finland (, ) ...

Charlottenburg Charlottenburg () is a Boroughs and localities of Berlin, locality of Berlin within the borough of Charlottenburg-Wilmersdorf. Established as a German town law, town in 1705 and named after Sophia Charlotte of Hanover, Queen consort of Kingdom ...

(today

Technische Universität Berlin (TU Berlin; also known as Berlin Institute of Technology and Technical University of Berlin, although officially the name should not be translated) is a public university, public research university located in Berlin, Germany. It was the first ...

). His final post was at the Kaiser-Wilhelm-Universität Straßburg, Alsace-Lorraine, where he died. In 1893 in Chicago, his paper ''Zur Theorie der ganzzahligen algebraischen Gleichungen'' was read (but not by him) at the International Mathematical Congress held in connection with the

World's Columbian Exposition The World's Columbian Exposition, also known as the Chicago World's Fair, was a world's fair held in Chicago from May 5 to October 31, 1893, to celebrate the 400th anniversary of Christopher Columbus's arrival in the New World in 1492. The ...

. In 1895 and in 1904 he was president of the Deutsche Mathematiker-Vereinigung. His doctoral students include Heinrich Brandt, E. V. Huntington, Louis Karpinski, and Friedrich Levi.

Publications

* with

Richard Dedekind Julius Wilhelm Richard Dedekind (; ; 6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to number theory, abstract algebra (particularly ring theory), and the axiomatic foundations of arithmetic. H ...

Theorie der algebraischen Functionen einer Veränderlichen.
''J. Reine Angew. Math.'' 92 (1882) 181–290 *
Elliptische Functionen und algebraische Zahlen
'. Braunschweig 1891 * ''Encyklopädie der Elementar-Mathematik. Ein Handbuch für Lehrer und Studierende''. Leipzig 1903/07,
Vol. 1Vol. 2Vol. 3
(in German) * with

Bernhard Riemann Georg Friedrich Bernhard Riemann (; ; 17September 182620July 1866) was a German mathematician who made profound contributions to analysis, number theory, and differential geometry. In the field of real analysis, he is mostly known for the f ...

(''i.e.'' partly based on Riemann's lectures):
Die partiellen Differential-Gleichungen der mathematischen Physik
'. Braunschweig 1900-01 *
Lehrbuch der Algebra
'. Braunschweig 1924, ed. Robert Fricke * * * The third volume is an expanded version of his earlier book "Elliptische Functionen und algebraische Zahlen".

References

* * * * {{DEFAULTSORT:Weber, Heinrich 1842 births 1913 deaths 19th-century German mathematicians 20th-century German mathematicians Algebraists German number theorists Scientists from Heidelberg People from the Grand Duchy of Baden Heidelberg University alumni Academic staff of Heidelberg University Academic staff of the University of Königsberg Academic staff of Technische Universität Berlin Academic staff of the University of Strasbourg Heads of universities in Germany Academic staff of ETH Zurich Members of the Royal Society of Sciences in Uppsala Presidents of the German Mathematical Society