Dedekind, Richard 18311916
Overview
Works:  279 works in 1,047 publications in 7 languages and 8,101 library holdings 

Genres:  Records and correspondence Biography 
Roles:  Author, Editor, Honoree, Other, Contributor, Creator, Dedicatee, Author of introduction, wst, Commentator for written text 
Publication Timeline
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Most widely held works about
Richard Dedekind
 Frege, Dedekind, and Peano on the foundations of arithmetic by Donald Gillies( Book )
 Richard Dedekind et les fondements des mathématiques : avec de nombreux textes inédits by Pierre Dugac( Book )
 La notion de nombre chez Dedekind, Cantor, Frege : théories, conceptions et philosophie by JeanPierre Belna( Book )
 Der Briefwechsel Richard Dedekind  Heinrich Weber by Katrin Scheel( )
 Abhandlungen aus den Gebieten der Mathematik, Physik, Chemie und beschreibenden Naturwissenschaften by Heinrich Beckurts( Book )
 Der Briefwechsel, Richard DedekindHeinrich Weber by Katrin Scheel( Book )
 Le couteautoast d'Evariste Galois : repris par Richard Dedekind pour faire exister la droite en mathématiques se réinventant sur une aire de jeu hexagrammes et trigrammes du Livre des mutations by Armand Gatti( Book )
 The continuity debate : Dedekind, Cantor, du BoisReymond and Peirce on continuity and infinitesimals by Benjamin Lee Buckley( Book )
 Interpreting the ideal : embedding ideal numbers in the mathematical programs of Kummer, Dedekind and Klein by Francesca Bordogna( Book )
 Georg Cantor e Richard Dedekind: lettere 18721899 by Georg Cantor( Book )
 Functions and generality of logic : reflections on Dedekind's and Frege's logicisms by Hourya BenisSinaceur( Book )
 Notes on generalized Dedekind sums by Donald Ervin Knuth( Book )
 Zur Entstehung der algebraischen Zahlentheorie Richard Dedekinds by Ralf Haubrich( Book )
 Richard Dedekind et les fondements des mathematiques, avec de de nombreux textes inedits by Pierre Dugac( Book )
 Der Briefwechsel, Richard DedekindHeinrich Weber by Katrin Scheel( Book )
 Zum Leben des Braunschweiger Mathematikers Richard Dedekind : Sonderdruck aus der Festschrift zur Ausstellung Brunswiek 1031 Braunschweig 1981 ; [zur 150. Wiederkehr des Geburtstages von Richard Dedekind] by Karl Gerke( Book )
 Dedekind : les axiomatisations by Jean Cavaillès( Book )
 Aurel Wintner papers by Aurel Wintner( )
 Dedekind : el arquitecto de los números by Carlos Sánchez Fernández( Book )
 Richard Dedekind ; Gedaechtnisrede by Edmund Landau( Book )
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Most widely held works by
Richard Dedekind
Essays on the theory of numbers : I. Continuity and irrational numbers. II. The nature and meaning of numbers by
Richard Dedekind(
Book
)
39 editions published between 1901 and 2009 in English and held by 1,184 WorldCat member libraries worldwide
Two essays on mathematical theory. The first is about irrational numbers. The second deals with whole numbers and infinity, and with the logical validity of inductive mathematical proofs
39 editions published between 1901 and 2009 in English and held by 1,184 WorldCat member libraries worldwide
Two essays on mathematical theory. The first is about irrational numbers. The second deals with whole numbers and infinity, and with the logical validity of inductive mathematical proofs
Vorlesungen über Zahlentheorie by
Peter Gustav Lejeune Dirichlet(
Book
)
93 editions published between 1836 and 2017 in 3 languages and held by 872 WorldCat member libraries worldwide
Peter Gustav Lejeune Dirichlet (1805–59) may be considered the father of modern number theory. He studied in Paris, coming under the influence of mathematicians like Fourier and Legendre, and then taught at Berlin and Göttingen universities, where he was the successor to Gauss. This book contains lectures on number theory given by Dirichlet in 1856–7. They include his famous proofs of the class number theorem for binary quadratic forms and the existence of an infinity of primes in every appropriate arithmetical progression. The material was first published in 1863 by Richard Dedekind (1831–1916), professor at Braunschweig, who had been a junior colleague of Dirichlet at Göttingen. The second edition appeared in 1871; this reissue is of the third, revised and expanded, edition of 1879; a fourth edition appeared as late as 1894. The appendices contain further work by both Dirichlet and Dedekind
93 editions published between 1836 and 2017 in 3 languages and held by 872 WorldCat member libraries worldwide
Peter Gustav Lejeune Dirichlet (1805–59) may be considered the father of modern number theory. He studied in Paris, coming under the influence of mathematicians like Fourier and Legendre, and then taught at Berlin and Göttingen universities, where he was the successor to Gauss. This book contains lectures on number theory given by Dirichlet in 1856–7. They include his famous proofs of the class number theorem for binary quadratic forms and the existence of an infinity of primes in every appropriate arithmetical progression. The material was first published in 1863 by Richard Dedekind (1831–1916), professor at Braunschweig, who had been a junior colleague of Dirichlet at Göttingen. The second edition appeared in 1871; this reissue is of the third, revised and expanded, edition of 1879; a fourth edition appeared as late as 1894. The appendices contain further work by both Dirichlet and Dedekind
What are numbers and what should they be? = (Was sind und was sollen die Zahlen?) by
Richard Dedekind(
Book
)
98 editions published between 1888 and 2017 in 7 languages and held by 604 WorldCat member libraries worldwide
The nineteenth century saw the paradoxes and obscurities of eighteenthcentury calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real numbers and why do they have the properties we claim they do? In this charming and influential book, Richard Dedekind (1831–1916), Professor at the Technische Hochschule in Braunschweig, showed how to resolve this problem starting from elementary ideas. His method of constructing the reals from the rationals (the Dedekind cut) remains central to this day and was generalised by Conway in his construction of the 'surreal numbers'. This reissue of Dedekind's 1888 classic is of the 'second, unaltered' 1893 edition
98 editions published between 1888 and 2017 in 7 languages and held by 604 WorldCat member libraries worldwide
The nineteenth century saw the paradoxes and obscurities of eighteenthcentury calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real numbers and why do they have the properties we claim they do? In this charming and influential book, Richard Dedekind (1831–1916), Professor at the Technische Hochschule in Braunschweig, showed how to resolve this problem starting from elementary ideas. His method of constructing the reals from the rationals (the Dedekind cut) remains central to this day and was generalised by Conway in his construction of the 'surreal numbers'. This reissue of Dedekind's 1888 classic is of the 'second, unaltered' 1893 edition
Bernhard Riemann's Gesammelte mathematische Werke und wissenschaftlicher Nachlass by
Bernhard Riemann(
Book
)
58 editions published between 1876 and 2013 in 3 languages and held by 578 WorldCat member libraries worldwide
Cover title: Collected works of Bernhard Riemann
58 editions published between 1876 and 2013 in 3 languages and held by 578 WorldCat member libraries worldwide
Cover title: Collected works of Bernhard Riemann
Theory of algebraic integers by
Richard Dedekind(
Book
)
23 editions published between 1877 and 2010 in English and French and held by 347 WorldCat member libraries worldwide
The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in instalments in the 'Bulletin des sciences mathematiques' in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome. Dedekind's memoir gives a candid account of his development of an elegant theory as well as providing blowbyblow comments as he wrestled with the many difficulties encountered en route. A must for all number theorists
23 editions published between 1877 and 2010 in English and French and held by 347 WorldCat member libraries worldwide
The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in instalments in the 'Bulletin des sciences mathematiques' in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome. Dedekind's memoir gives a candid account of his development of an elegant theory as well as providing blowbyblow comments as he wrestled with the many difficulties encountered en route. A must for all number theorists
Lectures on number theory by
Peter Gustav Lejeune Dirichlet(
Book
)
1 edition published in 1999 in English and held by 318 WorldCat member libraries worldwide
"This volume is a translation of Dirichlet's Vorlesungen uber Zahlentheorie which includes nine supplements by Dedekind and an introduction by John Stillwell, who translated the volume." "Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions." "The book is suitable as a textbook, yet it also offers a fascinating historical perspective that links Gauss with modern number theory."Jacket
1 edition published in 1999 in English and held by 318 WorldCat member libraries worldwide
"This volume is a translation of Dirichlet's Vorlesungen uber Zahlentheorie which includes nine supplements by Dedekind and an introduction by John Stillwell, who translated the volume." "Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions." "The book is suitable as a textbook, yet it also offers a fascinating historical perspective that links Gauss with modern number theory."Jacket
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erläuternden Anmerkungen sowie mit Ergänzungen aus
dem Briefwechsel CantorDedekind by
Georg Cantor(
Book
)
20 editions published between 1932 and 1980 in German and English and held by 309 WorldCat member libraries worldwide
20 editions published between 1932 and 1980 in German and English and held by 309 WorldCat member libraries worldwide
Stetigkeit und irrationale Zahlen by
Richard Dedekind(
Book
)
50 editions published between 1872 and 2017 in German and held by 263 WorldCat member libraries worldwide
50 editions published between 1872 and 2017 in German and held by 263 WorldCat member libraries worldwide
Philosophie mathématique by
Jean Cavaillès(
Book
)
6 editions published between 1962 and 1984 in French and held by 236 WorldCat member libraries worldwide
6 editions published between 1962 and 1984 in French and held by 236 WorldCat member libraries worldwide
Essays on the theory of numbers by
Richard Dedekind(
Book
)
47 editions published between 1901 and 2016 in 4 languages and held by 232 WorldCat member libraries worldwide
This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J.W.R. Dedekind. The first presents Dedekind's theory of the irrational numberthe Dedekind cut ideaperhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis. The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction. The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman
47 editions published between 1901 and 2016 in 4 languages and held by 232 WorldCat member libraries worldwide
This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J.W.R. Dedekind. The first presents Dedekind's theory of the irrational numberthe Dedekind cut ideaperhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis. The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction. The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman
Gesammelte mathematische Werke by
Richard Dedekind(
Book
)
25 editions published between 1930 and 1969 in 3 languages and held by 203 WorldCat member libraries worldwide
25 editions published between 1930 and 1969 in 3 languages and held by 203 WorldCat member libraries worldwide
Gesammelte mathematische werke by
Richard Dedekind(
Book
)
15 editions published between 1930 and 1932 in German and Undetermined and held by 169 WorldCat member libraries worldwide
15 editions published between 1930 and 1932 in German and Undetermined and held by 169 WorldCat member libraries worldwide
Richard Dedekind, 18311981 : eine Würdigung zu seinem 150. Geburtstag by
Winfried Scharlau(
Book
)
7 editions published in 1981 in German and Undetermined and held by 154 WorldCat member libraries worldwide
7 editions published in 1981 in German and Undetermined and held by 154 WorldCat member libraries worldwide
Über die Theorie der ganzen algebraischen Zahlen by
Richard Dedekind(
Book
)
19 editions published in 1964 in German and English and held by 153 WorldCat member libraries worldwide
19 editions published in 1964 in German and English and held by 153 WorldCat member libraries worldwide
Lezioni sulla teoria dei numeri by
Lejeune Dirichlet(
Book
)
7 editions published in 1881 in Italian and held by 138 WorldCat member libraries worldwide
7 editions published in 1881 in Italian and held by 138 WorldCat member libraries worldwide
Gesammelte mathematische Werke, wissenschaftlicher Nachlass und Nachträge : collected papers by
Bernhard Riemann(
Book
)
8 editions published in 1990 in German and Germanic and held by 126 WorldCat member libraries worldwide
8 editions published in 1990 in German and Germanic and held by 126 WorldCat member libraries worldwide
Briefwechsel CantorDedekind by
Georg Cantor(
Book
)
12 editions published between 1937 and 1938 in German and French and held by 114 WorldCat member libraries worldwide
12 editions published between 1937 and 1938 in German and French and held by 114 WorldCat member libraries worldwide
Vorlesung über Differential und Integralrechnung 1861/62 by
Dedekind(
Book
)
9 editions published in 1985 in German and English and held by 108 WorldCat member libraries worldwide
9 editions published in 1985 in German and English and held by 108 WorldCat member libraries worldwide
Richard Dedekind et les fondements des mathématiques : avec de nombreux textes inédits by
Pierre Dugac(
Book
)
3 editions published in 1976 in French and held by 18 WorldCat member libraries worldwide
3 editions published in 1976 in French and held by 18 WorldCat member libraries worldwide
Abhandlungen aus den Gebieten der Mathematik, Physik, Chemie und beschreibenden Naturwissenschaften by
Heinrich Beckurts(
Book
)
7 editions published in 1901 in German and held by 15 WorldCat member libraries worldwide
7 editions published in 1901 in German and held by 15 WorldCat member libraries worldwide
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Related Identities
 Lejeune Dirichlet, Peter Gustav 18051859 Author
 Weber, Heinrich 18421913 Other Author Editor
 Riemann, Bernhard 18261866 Author
 Cantor, Georg 18451918 Author
 Beman, Wooster Woodruff 18501922 Author of introduction Translator Creator
 Noether, Emmy 18821935 Other Author Editor Creator
 Fricke, Robert 18611930 Other Editor Creator
 Ore, Øystein 18991968 Other Editor
 Cavaillès, Jean 19031944 Author Editor Creator
 Zermelo, Ernst 18711953 Editor
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Associated Subjects
Algebra Algebraic functions Algebraic logic Algebraic number theory ArithmeticFoundations Calculus, Integral Cantor, Georg, College teachers Combinatorial number theory Continuity Dedekind, Richard, Differential calculus Differential equationsStudy and teaching Du BoisReymond, Paul, Einstein, Albert, Frege, Gottlob, Functions Functions, Abelian Galois, Évariste, Geometry, NonEuclidean Geometry, Riemannian GeometryFoundations Germany Hatcher, Anna Granville, Ideals (Algebra) Integral representations Irrational numbers Klein, Felix, LeviCivita, Tullio, Logic, Symbolic and mathematical Mathematical analysisStudy and teaching Mathematicians Mathematics MathematicsPhilosophy Numbers, Real Number theory Painter, Sidney, Peano, Giuseppe, Peirce, Charles S.(Charles Sanders), Philosophy Riemann, Bernhard, Riemann surfaces Sansone, Giovanni, Science Set theory United States Weber, Heinrich, Weyl, Hermann, Wiener, Norbert, Wintner, Aurel,
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Alternative Names
Dedekind J. W. R.
Dedekind J. W. R. 18311916
Dedekind, J. W. Richard
Dedekind, J. W. Richard 18311916
Dedekind, J. W. Richard (Julius Wilhelm Richard), 18311916
Dedekind, Julius W. 18311916
Dedekind, Julius Wilhelm Richard.
Dedekind Julius Wilhelm Richard 18311916
Dedekind R.
Dedekind R. 18311916
Dedekind, R. (Richard), 18311916
Dedekind, Riccardo 18311916
Dedekind, Richard
Dedekind Ryszard
Dedekind Yulius Vilgelm Rihard
Julius Wilhelm Richard Dedekind
Julius Wilhelm Richard Dedekind matemàtic alemany
Julius Wilhelm Richard Dedekind matemático de Alemania
Riçard Dedekind
Richard Dedekind deutscher Mathematiker
Richard Dedekind German mathematician
Richard Dedekind matematician german
Richard Dedekind matemático alemán
Richard Dedekind matematico tedesco
Richard Dedekind matematyk niemiecki
Richard Dedekind mathématicien allemand
Richard Dedekind tysk matematikar
Richard Dedekind tysk matematiker
Richard Dedekind wiskundige uit Duitse Bond (18311916)
Richardus Dedekind
Rihards Dēdekinds
Ρίχαρντ Ντέντεκιντ Γερμανός μαθηματικός
Дедекинд Р
Дедекинд Р. 18311916
Дедекинд Р. Ю. В
Дедекинд Р. Ю. В. 18311916
Дедекинд, Рихард 18311916
Дедекинд Ю. В. Р
Дедекинд Ю. В. Р. 18311916
Дедекинд Юлиус
Дедекинд, Юлиус Вильгельм Рихард
Дедекинд, Юлиус Вильгельм Рихард 18311916
Рихард Дедекинд
Ріхард Дедекінд
Юліус Вільгельм Рыхард Дэдэкінд
Јулијус Вилхелм Рихард Дедекинд
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