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Adolf Hurwitz

Index Adolf Hurwitz

Adolf Hurwitz (26 March 1859 – 18 November 1919) was a German mathematician who worked on algebra, analysis, geometry and number theory. [1]

56 relations: Algebra, Algebraic curve, Control system, David Hilbert, Dynamical systems theory, Edward Routh, Electorate of Brunswick-Lüneburg, Ernst Kummer, ETH Zurich, Felix Klein, Ferdinand Georg Frobenius, First Hurwitz triplet, Geometric function theory, Geometry, Germany, Hecke operator, Helmut Röhrl, Hermann Minkowski, Hermann Schubert, Hildesheim, Humboldt University of Berlin, Hurwitz class number, Hurwitz determinant, Hurwitz matrix, Hurwitz polynomial, Hurwitz quaternion, Hurwitz quaternion order, Hurwitz surface, Hurwitz zeta function, Hurwitz's automorphisms theorem, Hurwitz's theorem (complex analysis), Hurwitz's theorem (composition algebras), Hurwitz's theorem (number theory), J-invariant, Karl Weierstrass, Königsberg, L. Gustave du Pasquier, Lefschetz fixed-point theorem, Leipzig University, Leopold Kronecker, Ludwig Maximilian University of Munich, Mathematical analysis, Mathematician, Migraine, Number theory, Order (ring theory), Quaternion, Richard Courant, Riemann surface, Riemann–Hurwitz formula, ..., Routh–Hurwitz stability criterion, Switzerland, Typhoid fever, University of Göttingen, University of Königsberg, Zürich. Expand index (6 more) »

Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

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Algebraic curve

In mathematics, a plane real algebraic curve is the set of points on the Euclidean plane whose coordinates are zeros of some polynomial in two variables.

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Control system

A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops.

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

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Dynamical systems theory

Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference equations.

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Edward Routh

Edward John Routh FRS (20 January 1831 – 7 June 1907), was an English mathematician, noted as the outstanding coach of students preparing for the Mathematical Tripos examination of the University of Cambridge in its heyday in the middle of the nineteenth century.

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Electorate of Brunswick-Lüneburg

The Electorate of Brunswick-Lüneburg (Kurfürstentum Braunschweig-Lüneburg) was an Electorate of the Holy Roman Empire, located in northwestern Germany.

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Ernst Kummer

Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician.

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ETH Zurich

ETH Zurich (Swiss Federal Institute of Technology in Zurich; Eidgenössische Technische Hochschule Zürich) is a science, technology, engineering and mathematics STEM university in the city of Zürich, Switzerland.

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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, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory.

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Ferdinand Georg Frobenius

Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory.

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First Hurwitz triplet

In the mathematical theory of Riemann surfaces, the first Hurwitz triplet is a triple of distinct Hurwitz surfaces with the identical automorphism group of the lowest possible genus, namely 14 (genera 3 and 7 each admit a unique Hurwitz surface, respectively the Klein quartic and the Macbeath surface).

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Geometric function theory

Geometric function theory is the study of geometric properties of analytic functions.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Germany

Germany (Deutschland), officially the Federal Republic of Germany (Bundesrepublik Deutschland), is a sovereign state in central-western Europe.

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Hecke operator

In mathematics, in particular in the theory of modular forms, a Hecke operator, studied by, is a certain kind of "averaging" operator that plays a significant role in the structure of vector spaces of modular forms and more general automorphic representations.

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Helmut Röhrl

Helmut Röhrl or Rohrl (born 22 March 1927 in Straubing, died 30 January 2014) was a German mathematician.

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Hermann Minkowski

Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.

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Hermann Schubert

__notoc__ Hermann Cäsar Hannibal Schubert (22 May 1848 – 20 July 1911) was a German mathematician.

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Hildesheim

Hildesheim (Eastphalian: Hilmessen) is a city in Lower Saxony, Germany with 103,804 inhabitants.

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Humboldt University of Berlin

The Humboldt University of Berlin (Humboldt-Universität zu Berlin, abbreviated HU Berlin), is a university in the central borough of Mitte in Berlin, Germany.

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Hurwitz class number

In mathematics, the Hurwitz class number H(N), introduced by Adolf Hurwitz, is a modification of the class number of positive definite binary quadratic forms of discriminant –N, where forms are weighted by 2/g for g the order of their automorphism group, and where H(0).

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Hurwitz determinant

In mathematics, Hurwitz determinants were introduced by, who used them to give a criterion for all roots of a polynomial to have negative real part.

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Hurwitz matrix

In mathematics, a Hurwitz matrix, or Routh–Hurwitz matrix, in engineering stability matrix, is a structured real square matrix constructed with coefficients of a real polynomial.

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Hurwitz polynomial

In mathematics, a Hurwitz polynomial, named after Adolf Hurwitz, is a polynomial whose roots (zeros) are located in the left half-plane of the complex plane or on the imaginary axis, that is, the real part of every root is zero or negative.

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Hurwitz quaternion

In mathematics, a Hurwitz quaternion (or Hurwitz integer) is a quaternion whose components are either all integers or all half-integers (halves of an odd integer; a mixture of integers and half-integers is excluded).

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Hurwitz quaternion order

The Hurwitz quaternion order is a specific order in a quaternion algebra over a suitable number field.

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Hurwitz surface

In Riemann surface theory and hyperbolic geometry, a Hurwitz surface, named after Adolf Hurwitz, is a compact Riemann surface with precisely 84(g − 1) automorphisms, where g is the genus of the surface.

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Hurwitz zeta function

In mathematics, the Hurwitz zeta function, named after Adolf Hurwitz, is one of the many zeta functions.

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Hurwitz's automorphisms theorem

In mathematics, Hurwitz's automorphisms theorem bounds the order of the group of automorphisms, via orientation-preserving conformal mappings, of a compact Riemann surface of genus g > 1, stating that the number of such automorphisms cannot exceed 84(g − 1).

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Hurwitz's theorem (complex analysis)

In mathematics and in particular the field of complex analysis, Hurwitz's theorem is a theorem associating the zeroes of a sequence of holomorphic, compact locally uniformly convergent functions with that of their corresponding limit.

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Hurwitz's theorem (composition algebras)

In mathematics, Hurwitz's theorem is a theorem of Adolf Hurwitz (1859–1919), published posthumously in 1923, solving the Hurwitz problem for finite-dimensional unital real non-associative algebras endowed with a positive-definite quadratic form.

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Hurwitz's theorem (number theory)

In number theory, Hurwitz's theorem, named after Adolf Hurwitz, gives a bound on a Diophantine approximation.

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J-invariant

In mathematics, Felix Klein's j-invariant or j function, regarded as a function of a complex variable τ, is a modular function of weight zero for defined on the upper half-plane of complex numbers.

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Karl Weierstrass

Karl Theodor Wilhelm Weierstrass (Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".

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Königsberg

Königsberg is the name for a former German city that is now Kaliningrad, Russia.

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L. Gustave du Pasquier

Louis-Gustave du Pasquier (18 August 1876, Auvernier – 31 January 1957, Cornaux) was a Swiss mathematician and historian of mathematics and mathematical sciences.

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Lefschetz fixed-point theorem

In mathematics, the Lefschetz fixed-point theorem is a formula that counts the fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X. It is named after Solomon Lefschetz, who first stated it in 1926.

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Leipzig University

Leipzig University (Universität Leipzig), in Leipzig in the Free State of Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany.

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Leopold Kronecker

Leopold Kronecker (7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic.

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Ludwig Maximilian University of Munich

Ludwig Maximilian University of Munich (also referred to as LMU or the University of Munich, in German: Ludwig-Maximilians-Universität München) is a public research university located in Munich, Germany.

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Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Migraine

A migraine is a primary headache disorder characterized by recurrent headaches that are moderate to severe.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Order (ring theory)

In mathematics, an order in the sense of ring theory is a subring \mathcal of a ring A, such that.

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Quaternion

In mathematics, the quaternions are a number system that extends the complex numbers.

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Richard Courant

Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician.

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Riemann surface

In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.

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Riemann–Hurwitz formula

In mathematics, the Riemann–Hurwitz formula, named after Bernhard Riemann and Adolf Hurwitz, describes the relationship of the Euler characteristics of two surfaces when one is a ramified covering of the other.

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Routh–Hurwitz stability criterion

In control system theory, the Routh–Hurwitz stability criterion is a mathematical test that is a necessary and sufficient condition for the stability of a linear time invariant (LTI) control system.

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Switzerland

Switzerland, officially the Swiss Confederation, is a sovereign state in Europe.

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Typhoid fever

Typhoid fever, also known simply as typhoid, is a bacterial infection due to ''Salmonella'' typhi that causes symptoms.

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University of Göttingen

The University of Göttingen (Georg-August-Universität Göttingen, GAU, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany.

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University of Königsberg

The University of Königsberg (Albertus-Universität Königsberg) was the university of Königsberg in East Prussia.

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Zürich

Zürich or Zurich is the largest city in Switzerland and the capital of the canton of Zürich.

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A. Hurwitz, Adolf hurwitz, Adolph Hurwitz.

References

[1] https://en.wikipedia.org/wiki/Adolf_Hurwitz

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