WorldCat Identities

Dedekind, Richard 1831-1916

Overview
Works: 188 works in 942 publications in 11 languages and 7,737 library holdings
Genres: Records and correspondence  History  Biography 
Roles: Author, Editor, Honoree, Contributor, Other, Creator, Dedicatee, Commentator for written text, Author of introduction
Classifications: QA241, 512.81
Publication Timeline
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Most widely held works about Richard Dedekind
 
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Most widely held works by Richard Dedekind
Lectures on number theory by Peter Gustav Lejeune Dirichlet( Book )

105 editions published between 1836 and 2013 in 4 languages and held by 1,141 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
Essays on the theory of numbers : I. Continuity and irrational numbers. II. The nature and meaning of numbers by Richard Dedekind( Book )

62 editions published between 1901 and 2012 in English and German and held by 689 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
What are numbers and what should they be? = (Was sind und was sollen die Zahlen?) by Richard Dedekind( Book )

120 editions published between 1888 and 2016 in 7 languages and held by 587 WorldCat member libraries worldwide

The nineteenth century saw the paradoxes and obscurities of eighteenth-century 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
Gesammelte mathematische Werke und wissenschaftlicher Nachlass by Bernhard Riemann( Book )

72 editions published between 1876 and 2013 in 3 languages and held by 583 WorldCat member libraries worldwide

Great mathematicians write for the future and Georg Friedrich Bernhard Riemann (1826-66) was one of the greatest mathematicians of all time. Edited by Heinrich Martin Weber, with assistance from Richard Dedekind, this edition of his collected works in German first appeared in 1876. Riemann's interests ranged from pure mathematics to mathematical physics. He wrote a short paper on number theory which provided the key to the prime number theorem, and his zeta hypothesis has given mathematicians the most famous of today's unsolved problems. Moreover, his famous 1854 lecture 'On the hypotheses which underlie geometry' set in motion studies which culminated in Einstein's general theory of relativity. Even Riemann's over-optimistic use of the Dirichlet principle to prove the conformal mapping theorem turned out to be immensely fruitful. The alert reader will further profit from finding here the seeds of modern distribution theory, algebraic topology and measure theory
Essays on the theory of numbers : I. Continuity and irrational numbers, II. The nature and meaning of numbers by Richard Dedekind( Book )

27 editions published between 1901 and 2016 in English and held by 553 WorldCat member libraries worldwide

Gesammelte mathematische Werke by Richard Dedekind( Book )

38 editions published between 1930 and 1969 in 3 languages and held by 356 WorldCat member libraries worldwide

Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erläuternden Anmerkungen sowie mit Ergänzungen aus dem Briefwechsel Cantor-Dedekind by Georg Cantor( Book )

24 editions published between 1932 and 1980 in German and English and held by 315 WorldCat member libraries worldwide

In der Geschichte der Wissenschaften ist es gewiß ein seltener Fall, wenn eine ganze wissenschaftliche Disziplin von grundlegender Bedeutung der schöpferischen Tat eines einzelnen zu verdanken ist. Dieser Fall ist verwirk licht in der Schöpfung Georg Oantors, der Mengenlehre, einerneuen mathe matischen Disziplin, die während eines Zeitraumes von etwa 25 Jahren in einer Reihe von Abhandlungen ein und desselben Forschers in ihren Grund zügen entwickelt, seitdem zum bleibenden Besitze der Wissenschaft geworden ist, so daß alle späteren Forschungen auf diesem Gebiete nur noch als ergän zende Ausführungen seiner grundlegenden Gedanken aufzufassen sind. Aber auch abgesehen von dieser ihrer historischen Bedeutung sind die Oan torschen Originalabhandlungen noch für den heutigen Leser von unmittelbarem Inter esse, in ihrer klassischen Einfachheit und Präzision ebenso zur ersten Ein führung geeignet und darin noch von keinem neueren Lehrbuch übertroffen, wie auch für den Fortgeschrittenen durch die Fülle der zugrunde liegenden Gedanken eine genußreich anregende Lektüre. Der immer noch wachsende Einfluß der Mengenlehre auf alle Zweige der modernen Mathematik und vor allem ihre überragende Bedeutung für die heutige Grundlagenforschung haben bei Mathematikern wie bei Philosophen den Wunsch entstehen lassen, die in verschiedenen Zeitschriften zerstreuten und teilweise schwer zugäng lichen Abhandlungen in ihrem natürlichen Zusammenhange lesen und stu dieren zu können
Theory of algebraic integers by Richard Dedekind( Book )

22 editions published between 1877 and 2010 in English and French and held by 303 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 blow-by-blow comments as he wrestled with the many difficulties encountered en route. A must for all number theorists
Philosophie mathématique by Jean Cavaillès( Book )

7 editions published between 1962 and 1984 in French and held by 255 WorldCat member libraries worldwide

Stetigkeit und irrationale Zahlen by Richard Dedekind( Book )

57 editions published between 1872 and 1980 in 5 languages and held by 221 WorldCat member libraries worldwide

Theory of algebraic functions of one variable by Richard Dedekind( Book )

8 editions published in 2012 in English and held by 168 WorldCat member libraries worldwide

Richard Dedekind, 1831-1981 : eine Würdigung zu seinem 150. Geburtstag by Richard Dedekind( Book )

6 editions published in 1981 in German and Undetermined and held by 143 WorldCat member libraries worldwide

Über die Theorie der ganzen algebraischen Zahlen by Richard Dedekind( Book )

17 editions published between 1964 and 1989 in German and English and held by 136 WorldCat member libraries worldwide

Briefwechsel Cantor-Dedekind by Georg Cantor( Book )

15 editions published between 1937 and 1938 in 3 languages and held by 135 WorldCat member libraries worldwide

Gesammelte mathematische Werke, wissenschaftlicher Nachlass und Nachträge : collected papers by Bernhard Riemann( Book )

9 editions published in 1990 in German and Germanic and held by 133 WorldCat member libraries worldwide

Vorlesung über Differential- und Integralrechnung 1861/62 by Richard Dedekind( Book )

8 editions published in 1985 in German and held by 99 WorldCat member libraries worldwide

Gesammelte mathematische Werke by Richard Dedekind( Book )

12 editions published between 1931 and 1969 in 3 languages and held by 64 WorldCat member libraries worldwide

La création des nombres by Richard Dedekind( Book )

4 editions published in 2008 in French and held by 60 WorldCat member libraries worldwide

Der Briefwechsel, Richard Dedekind--Heinrich Weber by Katrin Scheel( Book )

3 editions published in 2014 in German and held by 21 WorldCat member libraries worldwide

Main description: This volume provides the very first transcription of correspondence between Richard Dedekind and Heinrich Weber, one of the most important instances of written dialog between mathematicians in the 19th century. Nearly every subarea of mathematics is addressed in the letters, which intensively discuss nascent developments in the field. A register of persons and index of works ease access to the topics discussed in the letters
Richard Dedekind et les fondements des mathématiques : avec de nombreux textes inédits by Pierre Dugac( Book )

4 editions published in 1976 in French and held by 19 WorldCat member libraries worldwide

 
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WorldCat IdentitiesRelated Identities
Essays on the theory of numbers : I. Continuity and irrational numbers. II. The nature and meaning of numbers
Alternative Names
Dedekind J. W. R.

Dedekind J. W. R. 1831-1916

Dedekind, J. W. Richard 1831-1916

Dedekind, J. W. Richard (Julius Wilhelm Richard), 1831-1916

Dedekind, Julius W. 1831-1916

Dedekind, Julius Wilhelm Richard.

Dedekind Julius Wilhelm Richard 1831-1916

Dedekind R.

Dedekind R. 1831-1916

Dedekind, R. (Richard), 1831-1916

Dedekind, Riccardo 1831-1916

Dedekind, Richard

Dedekind, Ryszard.

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 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 (1831-1916)

Richardus Dedekind

Rihards Dēdekinds

Ρίχαρντ Ντέντεκιντ Γερμανός μαθηματικός

Дедекинд Р

Дедекинд Р. 1831-1916

Дедекинд Р. Ю. В

Дедекинд Р. Ю. В. 1831-1916

Дедекинд, Рихард 1831-1916

Дедекинд Ю. В. Р

Дедекинд Ю. В. Р. 1831-1916

Дедекинд Юлиус

Дедекинд, Юлиус Вильгельм Рихард

Дедекинд, Юлиус Вильгельм Рихард 1831-1916

Рихард Дедекинд

Ріхард Дедекінд

Юліус Вільгельм Рыхард Дэдэкінд

Јулијус Вилхелм Рихард Дедекинд

Ռիխարդ Դեդեկինդ

ריכרד דדקינד

ריכרד דדקינד מתמטיקאי גרמני

ريتشارد ديدكايند

ريتشارد ديدكايند رياضياتي ألماني

ریچارد ددکیند ریاضی‌دان آلمانی

রিচার্ড ডেডেকিন্ড

রিচার্ড ডেডেকিন্ড জার্মান গণিতবিদ

ரிச்சர்டு டீடிகைண்டு

റിച്ചാർഡ് ഡെഡിക്കിന്റ്

ရစ်ချတ် ဒီဒီကင်

რიხარდ იულიუს ვილჰელმ დედეკინდი

리하르트 데데킨트

デデキント

リヒャルト・デーデキント

戴德金

理查德·戴德金

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Essays on the theory of numbers : I. Continuity and irrational numbers. II. The nature and meaning of numbersWhat are numbers and what should they be? = (Was sind und was sollen die Zahlen?)Essays on the theory of numbers : I. Continuity and irrational numbers, II. The nature and meaning of numbersTheory of algebraic integersGeorg Cantor e Richard Dedekind: lettere 1872-1899