Examples of using Dedekind in English and their translations into German
{-}
-
Colloquial
-
Official
-
Ecclesiastic
-
Medicine
-
Financial
-
Ecclesiastic
-
Political
-
Computer
-
Programming
-
Official/political
-
Political
February 12- Richard Dedekind, German mathematician b.
Dedekind wrote a fine description of his supervisor.
The 500 page work developed real numbers via Dedekind cuts.
In Berlin, Dedekind met Weierstrass, Kummer, Borchardt and Kronecker.
The function was introduced by Richard Dedekind in connection with modular functions.
Dedekind was sympathetic to Cantor 's set theory as is illustrated by this quote from Was sind und was sollen die Zahlen(1888) regarding determining whether a given element belongs to a given set.
In that year he argued against the theory of irrational numbers used by Dedekind, Cantor and Heine giving the arguments by which he opposed.
Fifty years later Dedekind remembered the lectures as the most beautiful he had ever heard, writing that he had followed Gauss with constantly increasing interest and that he could not forget the experience.
A surprising fact in science history is that GeorgCantor and Richard Dedekind, founders of the famous set theory, first met each other in this natural temple.
Hilbert modular functions, Dedekind zeta functions, arithmetical notions and methods, elliptic modular forms of level N, algebraic functions, Dirichlet series with functional equation, Hecke-operators T n, and physics where he made contributions to the kinetic theory of gases.
At this time Berlin was the place where courseswere given on the latest mathematical developments but Dedekind had not been able to learn such material at Göttingen.
Publications==* with Richard Dedekind: Theorie der algebraischen Functionen einer Veränderlichen.
Works==Only an estimated third of his works survive:* 1668: Markus-Passion("Historia des Leidens und Sterbens unseres Herren Jesu Christi")* 1668: Weihnachtshistorie(lost)* 1671: Dafne(Opera with Giovanni Andrea Bontempi)* 1673: Jupiter und Jo(lost-a collaboration with Bontempi or Constantin Christian Dedekind)* 1675: Il sacrificio di Jefte i.
Carl Friedrich Gauß, Agnes Pockels, Richard Dedekind and Heinrich Büssing have their roots here and are part of the history of this modern city of science.
Lejeune Dirichlet's lectures on number theory were edited andextended by Richard Dedekind, who used Euclid's algorithm to study algebraic integers, a new general type of number.
Recalled in later years that he only knew Dedekind by sight because Dedekind always arrived and left with Dirichlet and was completely eclipsed by him.
He has discussed Aristotle, the Stoics, William of Ockham, Giovanni Girolamo Saccheri, George Boole,Richard Dedekind, Gottlob Frege, Charles Sanders Peirce, Clarence Irving Lewis, the American Postulate Theorists, Alfred Tarski, Willard Van Orman Quine.
Although the book is assuredly based on Dirichlet 's lectures, and although Dedekind himself referred to the book throughout his life as Dirichlet 's, the book itself was entirely written by Dedekind, for the most part after Dirichlet 's death.
History==Although the formalisation of logic was much advanced by the work of such figures as Gottlob Frege, Giuseppe Peano, Bertrand Russell,and Richard Dedekind, the story of modern proof theory is often seen as being established by David Hilbert, who initiated what is called Hilbert's program in the foundations of mathematics.
Showing the discriminant d,the radicand D mn2 with its quadratic part n, the Dedekind type, 2 minimal norms of principal factors(if they exist), the period length, the regulator R, and the class number h you get by linking to my database Exotic Pure Cubic Fields.