Faster access than browser!
89 relations: Abelian variety, Abstract algebra, Algebra, Algebraic integer, Algebraic number field, Algebraic number theory, Arithmetic, Axiom, Bernhard Riemann, Bijection, Braunschweig, Braunschweig University of Technology, Carl Friedrich Gauss, Complete metric space, David Hilbert, Dedekind cut, Dedekind domain, Dedekind eta function, Dedekind number, Dedekind sum, Dedekind zeta function, Dedekind-infinite set, Dictionary of Scientific Biography, Duchy of Brunswick, Elliptic function, Emmy Noether, Equinumerosity, Ernst Kummer, ETH Zurich, Euler integral, Fermat's Last Theorem, French Academy of Sciences, Galois theory, Göttingen, Geometry, Georg Cantor, German Empire, German language, Germans, Giuseppe Peano, Group (mathematics), Habilitation, Harold Edwards (mathematician), Heinrich Martin Weber, Honorary degree, Humboldt University of Berlin, Ideal (ring theory), Ideal number, Infinite set, Integer, ..., Interlaken, Internet Archive, Irrational number, Ivor Grattan-Guinness, Jean van Heijenoort, Leopold Kronecker, List of things named after Richard Dedekind, Mathematician, Mathematics, Modular lattice, Moritz Abraham Stern, Natural number, Number theory, Peano axioms, Peter Gustav Lejeune Dirichlet, Philosophy of mathematics, Privatdozent, Probability, Rational number, Real number, Riemann surface, Riemann–Roch theorem, Ring (mathematics), Ring theory, Set (mathematics), Square (algebra), Square root of 2, Subset, Successor function, Technische Hochschule, Transfinite number, University of Chicago Press, University of Göttingen, University of Oslo, University of Zurich, Vorlesungen über Zahlentheorie, William Everdell, Zürich, 1. Expand index (39 more) »
Abelian variety
In mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functions.
New!!: Richard Dedekind and Abelian variety · See more »
Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
New!!: Richard Dedekind and Abstract algebra · See 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.
New!!: Richard Dedekind and Algebra · See more »
Algebraic integer
In algebraic number theory, an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading coefficient is 1) with coefficients in (the set of integers).
New!!: Richard Dedekind and Algebraic integer · See more »
Algebraic number field
In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.
New!!: Richard Dedekind and Algebraic number field · See more »
Algebraic number theory
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.
New!!: Richard Dedekind and Algebraic number theory · See more »
Arithmetic
Arithmetic (from the Greek ἀριθμός arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.
New!!: Richard Dedekind and Arithmetic · See more »
Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
New!!: Richard Dedekind and Axiom · See more »
Bernhard Riemann
Georg Friedrich Bernhard Riemann (17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry.
New!!: Richard Dedekind and Bernhard Riemann · See more »
Bijection
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
New!!: Richard Dedekind and Bijection · See more »
Braunschweig
Braunschweig (Low German: Brunswiek), also called Brunswick in English, is a city in Lower Saxony, Germany, north of the Harz mountains at the farthest navigable point of the Oker river which connects it to the North Sea via the Aller and Weser rivers.
New!!: Richard Dedekind and Braunschweig · See more »
Braunschweig University of Technology
The TU Braunschweig ("University of Brunswick – Institute of Technology") is the oldest (comparable to an institute of technology in the American system) in Germany.
New!!: Richard Dedekind and Braunschweig University of Technology · See more »
Carl Friedrich Gauss
Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.
New!!: Richard Dedekind and Carl Friedrich Gauss · See more »
Complete metric space
In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary).
New!!: Richard Dedekind and Complete metric space · See more »
David Hilbert
David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.
New!!: Richard Dedekind and David Hilbert · See more »
Dedekind cut
In mathematics, Dedekind cuts, named after German mathematician Richard Dedekind, are а method of construction of the real numbers from the rational numbers.
New!!: Richard Dedekind and Dedekind cut · See more »
Dedekind domain
In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals.
New!!: Richard Dedekind and Dedekind domain · See more »
Dedekind eta function
In mathematics, the Dedekind eta function, named after Richard Dedekind, is a modular form of weight 1/2 and is a function defined on the upper half-plane of complex numbers, where the imaginary part is positive.
New!!: Richard Dedekind and Dedekind eta function · See more »
Dedekind number
In mathematics, the Dedekind numbers are a rapidly growing sequence of integers named after Richard Dedekind, who defined them in 1897.
New!!: Richard Dedekind and Dedekind number · See more »
Dedekind sum
In mathematics, Dedekind sums are certain sums of products of a sawtooth function, and are given by a function D of three integer variables.
New!!: Richard Dedekind and Dedekind sum · See more »
Dedekind zeta function
In mathematics, the Dedekind zeta function of an algebraic number field K, generally denoted ζK(s), is a generalization of the Riemann zeta function (which is obtained in the case where K is the rational numbers Q).
New!!: Richard Dedekind and Dedekind zeta function · See more »
Dedekind-infinite set
In mathematics, a set A is Dedekind-infinite (named after the German mathematician Richard Dedekind) if some proper subset B of A is equinumerous to A. Explicitly, this means that there is a bijective function from A onto some proper subset B of A. A set is Dedekind-finite if it is not Dedekind-infinite.
New!!: Richard Dedekind and Dedekind-infinite set · See more »
Dictionary of Scientific Biography
The Dictionary of Scientific Biography is a scholarly reference work that was published from 1970 through 1980.
New!!: Richard Dedekind and Dictionary of Scientific Biography · See more »
Duchy of Brunswick
The Duchy of Brunswick (Herzogtum Braunschweig) was a historical German state.
New!!: Richard Dedekind and Duchy of Brunswick · See more »
Elliptic function
In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions.
New!!: Richard Dedekind and Elliptic function · See more »
Emmy Noether
Amalie Emmy NoetherEmmy is the Rufname, the second of two official given names, intended for daily use.
New!!: Richard Dedekind and Emmy Noether · See more »
Equinumerosity
In mathematics, two sets or classes A and B are equinumerous if there exists a one-to-one correspondence (a bijection) between them, i.e. if there exists a function from A to B such that for every element y of B there is exactly one element x of A with f(x).
New!!: Richard Dedekind and Equinumerosity · See more »
Ernst Kummer
Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician.
New!!: Richard Dedekind and Ernst Kummer · See more »
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.
New!!: Richard Dedekind and ETH Zurich · See more »
Euler integral
In mathematics, there are two types of Euler integral: For positive integers m and n.
New!!: Richard Dedekind and Euler integral · See more »
Fermat's Last Theorem
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers,, and satisfy the equation for any integer value of greater than 2.
New!!: Richard Dedekind and Fermat's Last Theorem · See more »
French Academy of Sciences
The French Academy of Sciences (French: Académie des sciences) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research.
New!!: Richard Dedekind and French Academy of Sciences · See more »
Galois theory
In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.
New!!: Richard Dedekind and Galois theory · See more »
Göttingen
Göttingen (Low German: Chöttingen) is a university city in Lower Saxony, Germany.
New!!: Richard Dedekind and Göttingen · See more »
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.
New!!: Richard Dedekind and Geometry · See more »
Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor (– January 6, 1918) was a German mathematician.
New!!: Richard Dedekind and Georg Cantor · See more »
German Empire
The German Empire (Deutsches Kaiserreich, officially Deutsches Reich),Herbert Tuttle wrote in September 1881 that the term "Reich" does not literally connote an empire as has been commonly assumed by English-speaking people.
New!!: Richard Dedekind and German Empire · See more »
German language
German (Deutsch) is a West Germanic language that is mainly spoken in Central Europe.
New!!: Richard Dedekind and German language · See more »
Germans
Germans (Deutsche) are a Germanic ethnic group native to Central Europe, who share a common German ancestry, culture and history.
New!!: Richard Dedekind and Germans · See more »
Giuseppe Peano
Giuseppe Peano (27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist.
New!!: Richard Dedekind and Giuseppe Peano · See more »
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
New!!: Richard Dedekind and Group (mathematics) · See more »
Habilitation
Habilitation defines the qualification to conduct self-contained university teaching and is the key for access to a professorship in many European countries.
New!!: Richard Dedekind and Habilitation · See more »
Harold Edwards (mathematician)
Harold Mortimer Edwards, Jr. (born August 6, 1936) is an American mathematician working in number theory, algebra, and the history and philosophy of mathematics.
New!!: Richard Dedekind and Harold Edwards (mathematician) · See more »
Heinrich Martin Weber
Heinrich Martin Weber (5 March 1842, Heidelberg, Germany – 17 May 1913, Straßburg, Alsace-Lorraine, German Empire, now Strasbourg, France) was a German mathematician.
New!!: Richard Dedekind and Heinrich Martin Weber · See more »
Honorary degree
An honorary degree, in Latin a degree honoris causa ("for the sake of the honor") or ad honorem ("to the honor"), is an academic degree for which a university (or other degree-awarding institution) has waived the usual requirements, such as matriculation, residence, a dissertation and the passing of comprehensive examinations.
New!!: Richard Dedekind and Honorary degree · See more »
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.
New!!: Richard Dedekind and Humboldt University of Berlin · See more »
Ideal (ring theory)
In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.
New!!: Richard Dedekind and Ideal (ring theory) · See more »
Ideal number
In number theory an ideal number is an algebraic integer which represents an ideal in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind's definition of ideals for rings.
New!!: Richard Dedekind and Ideal number · See more »
Infinite set
In set theory, an infinite set is a set that is not a finite set.
New!!: Richard Dedekind and Infinite set · See more »
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
New!!: Richard Dedekind and Integer · See more »
Interlaken
Interlaken (lit.: between lakes) is a statistic town and municipality in the Interlaken-Oberhasli administrative district in the Swiss canton of Bern.
New!!: Richard Dedekind and Interlaken · See more »
Internet Archive
The Internet Archive is a San Francisco–based nonprofit digital library with the stated mission of "universal access to all knowledge." It provides free public access to collections of digitized materials, including websites, software applications/games, music, movies/videos, moving images, and nearly three million public-domain books.
New!!: Richard Dedekind and Internet Archive · See more »
Irrational number
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.
New!!: Richard Dedekind and Irrational number · See more »
Ivor Grattan-Guinness
Ivor Owen Grattan-Guinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic.
New!!: Richard Dedekind and Ivor Grattan-Guinness · See more »
Jean van Heijenoort
Jean Louis Maxime van Heijenoort (July 23, 1912 – March 29, 1986) was a pioneer historian of mathematical logic.
New!!: Richard Dedekind and Jean van Heijenoort · See more »
Leopold Kronecker
Leopold Kronecker (7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic.
New!!: Richard Dedekind and Leopold Kronecker · See more »
List of things named after Richard Dedekind
This is a list of things named after Richard Dedekind.
New!!: Richard Dedekind and List of things named after Richard Dedekind · See more »
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
New!!: Richard Dedekind and Mathematician · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Richard Dedekind and Mathematics · See more »
Modular lattice
In the branch of mathematics called order theory, a modular lattice is a lattice that satisfies the following self-dual condition:;Modular law: x ≤ b implies x ∨ (a ∧ b).
New!!: Richard Dedekind and Modular lattice · See more »
Moritz Abraham Stern
Moritz Abraham Stern (29 June 1807 – 30 January 1894) was a German mathematician.
New!!: Richard Dedekind and Moritz Abraham Stern · See more »
Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
New!!: Richard Dedekind and Natural number · See more »
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
New!!: Richard Dedekind and Number theory · See more »
Peano axioms
In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.
New!!: Richard Dedekind and Peano axioms · See more »
Peter Gustav Lejeune Dirichlet
Johann Peter Gustav Lejeune Dirichlet (13 February 1805 – 5 May 1859) was a German mathematician who made deep contributions to number theory (including creating the field of analytic number theory), and to the theory of Fourier series and other topics in mathematical analysis; he is credited with being one of the first mathematicians to give the modern formal definition of a function.
New!!: Richard Dedekind and Peter Gustav Lejeune Dirichlet · See more »
Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand the place of mathematics in people's lives.
New!!: Richard Dedekind and Philosophy of mathematics · See more »
Privatdozent
Privatdozent (for men) or Privatdozentin (for women), abbreviated PD, P.D. or Priv.-Doz., is an academic title conferred at some European universities, especially in German-speaking countries, to someone who holds certain formal qualifications that denote an ability to teach (venia legendi) a designated subject at university level.
New!!: Richard Dedekind and Privatdozent · See more »
Probability
Probability is the measure of the likelihood that an event will occur.
New!!: Richard Dedekind and Probability · See more »
Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
New!!: Richard Dedekind and Rational number · See more »
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
New!!: Richard Dedekind and Real number · See more »
Riemann surface
In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.
New!!: Richard Dedekind and Riemann surface · See more »
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 zeroes and allowed poles.
New!!: Richard Dedekind and Riemann–Roch theorem · See more »
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
New!!: Richard Dedekind and Ring (mathematics) · See more »
Ring theory
In algebra, ring theory is the study of rings—algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers.
New!!: Richard Dedekind and Ring theory · See more »
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
New!!: Richard Dedekind and Set (mathematics) · See more »
Square (algebra)
In mathematics, a square is the result of multiplying a number by itself.
New!!: Richard Dedekind and Square (algebra) · See more »
Square root of 2
The square root of 2, or the (1/2)th power of 2, written in mathematics as or, is the positive algebraic number that, when multiplied by itself, gives the number 2.
New!!: Richard Dedekind and Square root of 2 · See more »
Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
New!!: Richard Dedekind and Subset · See more »
Successor function
In mathematics, the successor function or successor operation is a primitive recursive function S such that S(n).
New!!: Richard Dedekind and Successor function · See more »
Technische Hochschule
A Technische Hochschule (plural: Technische Hochschulen, abbreviated TH) is a type of university focusing on engineering sciences in Germany.
New!!: Richard Dedekind and Technische Hochschule · See more »
Transfinite number
Transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite.
New!!: Richard Dedekind and Transfinite number · See more »
University of Chicago Press
The University of Chicago Press is the largest and one of the oldest university presses in the United States.
New!!: Richard Dedekind and University of Chicago Press · See more »
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.
New!!: Richard Dedekind and University of Göttingen · See more »
University of Oslo
The University of Oslo (Universitetet i Oslo), until 1939 named the Royal Frederick University (Det Kongelige Frederiks Universitet), is the oldest university in Norway, located in the Norwegian capital of Oslo.
New!!: Richard Dedekind and University of Oslo · See more »
University of Zurich
The University of Zurich (UZH, Universität Zürich), located in the city of Zürich, is the largest university in Switzerland, with over 25,000 students.
New!!: Richard Dedekind and University of Zurich · See more »
Vorlesungen über Zahlentheorie
Vorlesungen über Zahlentheorie (German for Lectures on Number Theory) is the name of several different textbooks of number theory.
New!!: Richard Dedekind and Vorlesungen über Zahlentheorie · See more »
William Everdell
William Romeyn Everdell is an American teacher and author.
New!!: Richard Dedekind and William Everdell · See more »
Zürich
Zürich or Zurich is the largest city in Switzerland and the capital of the canton of Zürich.
New!!: Richard Dedekind and Zürich · See more »
1
1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.
New!!: Richard Dedekind and 1 · See more »
Redirects here:
Dedekind, Richard, Dedekindian, J. W. R. Dedekind, J.W.R. Dedekind, Julius Dedekind, Julius Wilhelm Richard Dedekind, R. Dedekind, Richard dedekind.
References
[1] https://en.wikipedia.org/wiki/Richard_Dedekind
