Zermelo, Ernst 18711953
Overview
Works:  63 works in 223 publications in 5 languages and 3,565 library holdings 

Genres:  History Records and correspondence Biography 
Roles:  Author, Editor, Creator, Thesis advisor, Other 
Classifications:  QA248, 511.3 
Publication Timeline
.
Most widely held works about
Ernst Zermelo
 Zermelo's axiom of choice : its origins, development, and influence by Gregory H Moore( Book )
 Ernst Zermelo : an approach to his life and work by HeinzDieter Ebbinghaus( Book )
 Finalstrukturen in ZFC im Hinblick auf partielle Algebren by Ansgar Bergmann( Book )
 David Lewis und seine mereologische Interpretation der ZermeloFraenkelschen Mengenlehre by Philipp Werner( Book )
 Zermelo and the early history of game theory by Ulrich Schwalbe( Book )
 Einführung in die Mengenlehre : die Mengenlehre Georg Cantors und ihre Axiomatisierung durch Ernst Zermelo by Oliver Deiser( Book )
 Oral history interview with Peter J. W. Debye by Peter J. W Debye( )
 Dehn, Max Papers by Max Dehn( )
more
fewer
Most widely held works by
Ernst Zermelo
ZermeloFraenkel set theory by
Seymour Hayden(
Book
)
2 editions published in 1968 in English and held by 472 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 472 WorldCat member libraries worldwide
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erläuternden Anmerkungen sowie mit Ergänzungen aus
dem Briefwechsel CantorDedekind by
Georg Cantor(
Book
)
72 editions published between 1932 and 2013 in 3 languages and held by 441 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
72 editions published between 1932 and 2013 in 3 languages and held by 441 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
Collected works = Gesammelte Werke by
Ernst Zermelo(
Book
)
16 editions published between 2010 and 2013 in English and Undetermined and held by 70 WorldCat member libraries worldwide
Presents collected papers of the founder of axiomatic set theory, Ernst Zermelo, including his works on the calculus of variations, applied mathematics, and physics
16 editions published between 2010 and 2013 in English and Undetermined and held by 70 WorldCat member libraries worldwide
Presents collected papers of the founder of axiomatic set theory, Ernst Zermelo, including his works on the calculus of variations, applied mathematics, and physics
Untersuchungen zur Variationsrechnung by
Ernst Zermelo(
Book
)
11 editions published in 1894 in German and held by 50 WorldCat member libraries worldwide
11 editions published in 1894 in German and held by 50 WorldCat member libraries worldwide
Poincaré, Russell, Zermelo et Peano : textes de la discussion, 19061912, sur les fondements des mathématiques : des antinomies
à la prédicativité by
Henri Poincaré(
Book
)
5 editions published in 1986 in French and held by 45 WorldCat member libraries worldwide
5 editions published in 1986 in French and held by 45 WorldCat member libraries worldwide
Elementary principles in statistical mechanics, developed with especial reference to the rational foundation of thermodynamics by
J. Willard Gibbs(
Book
)
7 editions published between 1905 and 1960 in German and English and held by 24 WorldCat member libraries worldwide
Written by J. Willard Gibbs, the most distinguished American mathematical physicist of the nineteenth century, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The lucid, advancedlevel text remains a valuable collection of fundamental equations and principles. Topics include the general problem and the fundamental equation of statistical mechanics, the canonical distribution of the average energy values in a canonical ensemble of systems, and formulas for evaluating important functions of the energies of a system. Additional discussions cover maximum and minimal properties of distribution in phase, a valuable comparison of statistical mechanics with thermodynamics, and many other subjects
7 editions published between 1905 and 1960 in German and English and held by 24 WorldCat member libraries worldwide
Written by J. Willard Gibbs, the most distinguished American mathematical physicist of the nineteenth century, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The lucid, advancedlevel text remains a valuable collection of fundamental equations and principles. Topics include the general problem and the fundamental equation of statistical mechanics, the canonical distribution of the average energy values in a canonical ensemble of systems, and formulas for evaluating important functions of the energies of a system. Additional discussions cover maximum and minimal properties of distribution in phase, a valuable comparison of statistical mechanics with thermodynamics, and many other subjects
Elementare Betrachtungen zur Theorie der Primzahlen by
Ernst Zermelo(
Book
)
2 editions published in 1934 in German and held by 14 WorldCat member libraries worldwide
2 editions published in 1934 in German and held by 14 WorldCat member libraries worldwide
Calculus of variations, applied mathematics, and physics = Variationsrechnung, Angewandte Mathematik und Physik by
Ernst Zermelo(
Book
)
2 editions published in 2013 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 2013 in English and held by 13 WorldCat member libraries worldwide
Ernst Zermelo  Collected Works/Gesammelte Werke Volume I  Set Theory, Miscellanea / Band I  Mengenlehre, Varia by
Ernst Zermelo(
)
9 editions published in 2010 in English and Multiple languages and held by 12 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and bestknown for the first formulation of the axiom of choice. This book presents a biography of Zermelo, and also covers set theory, the foundations of mathematics, and pure mathematics
9 editions published in 2010 in English and Multiple languages and held by 12 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and bestknown for the first formulation of the axiom of choice. This book presents a biography of Zermelo, and also covers set theory, the foundations of mathematics, and pure mathematics
Calcul des variations Encyclopédie des Sciences Mathématiques Pures et Appliquées (Article II31) by
Adolf Kneser(
Book
)
1 edition published in 2005 in French and held by 10 WorldCat member libraries worldwide
1 edition published in 2005 in French and held by 10 WorldCat member libraries worldwide
Elementare Betrachtungen zur Theorie der Primzahlen by
Ernst Zermelo(
Book
)
2 editions published in 1934 in German and held by 10 WorldCat member libraries worldwide
2 editions published in 1934 in German and held by 10 WorldCat member libraries worldwide
Set theory, miscellanea = Mengenlehre, Varia by
Ernst Zermelo(
Book
)
2 editions published in 2010 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 2010 in English and held by 6 WorldCat member libraries worldwide
Ernst Zermelo  Collected Works : Volume I  Set Theory, Miscellanea = Ernst Zermelo  Gesammelte Werke by
Ernst Zermelo(
)
1 edition published in 2010 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 6 WorldCat member libraries worldwide
Collected Works by
Ernst Zermelo(
)
1 edition published in 2013 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 6 WorldCat member libraries worldwide
La formazione della teoria degli insiemi : (scritti 18721899) by
Georg Cantor(
Book
)
1 edition published in 2012 in Italian and held by 6 WorldCat member libraries worldwide
1 edition published in 2012 in Italian and held by 6 WorldCat member libraries worldwide
Collected Works by
Ernst Zermelo(
Book
)
4 editions published in 2013 in English and held by 6 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence
4 editions published in 2013 in English and held by 6 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence
Ernst Zermelo  Collected Works/Gesammelte Werke II Volume II/Band II  Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung,
Angewandte Mathematik und Physik by
Ernst Zermelo(
Book
)
6 editions published between 2013 and 2015 in English and held by 3 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence
6 editions published between 2013 and 2015 in English and held by 3 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence
Ernst Zermelo. Collected Works = Gesammelte Werke by
Ernst Zermelo(
Book
)
5 editions published in 2013 in English and German and held by 2 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence.  [Source inconnue]
5 editions published in 2013 in English and German and held by 2 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence.  [Source inconnue]
Zermelo's axiom of choice : its origins, development, and influence by
Gregory H Moore(
Book
)
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
"This book chronicles the work of mathematician Ernst Zermelo (18711953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition"
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
"This book chronicles the work of mathematician Ernst Zermelo (18711953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition"
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Related Identities
 Ebbinghaus, HeinzDieter 1939 Other Author Editor
 Fraenkel, Abraham Adolf 18911965 Creator
 Kanamori, Akihiro Editor
 Peckhaus, Volker
 Moore, Gregory H. Author
 Cantor, Georg 18451918 Author
 Hayden, Seymour Author
 Kennison, John F. 1938
 Dedekind, Richard 18311916
 Fraser, Craig G. Editor
Useful Links
Associated Subjects
Algebra Algebra, Universal Atomic theory Axiom of choice Bohr, Niels, Born, Max, Brillouin, Léon, Broglie, Louis de, Calculus of variations Cantor, Georg, Casimir, H. B. G.(Hendrik Brugt Gerhard), Computer science Debye, Peter J. W.(Peter Josef William), Ehrenfest, Paul, Einstein, Albert, Engineering mathematics Fraenkel, Abraham Adolf, Game theory Germany Heisenberg, Werner, Hilbert, David, History Langevin, Paul, Laue, Max von, Lewis, David K.(David Kellogg), Logic Logic, Symbolic and mathematical London, Fritz, Mathematical physics Mathematicians Mathematics MathematicsPhilosophy Nernst, Walther, Nuclear physics Partial algebras Philosophy Planck, Max, Quantum theory Röntgen, Wilhelm Conrad, Schrödinger, Erwin, Science Set theory Sommerfeld, Arnold, Statistical mechanics Thermodynamics Universität Leipzig (14091953) Universität München Whole and parts (Philosophy) Wien, W.(Wilhelm), Zermelo, Ernst,
Alternative Names
Ernestus Zermelo
Ernst Zermelo Duits wiskundige
Ernst Zermelo German mathematician
Ernst Zermelo lógico y matemático
Ernst Zermelo matemàtic alemany
Ernst Zermelo matematico e filosofo tedesco
Ernst Zermelo matematyk niemiecki
Ernst Zermelo mathématicien allemand
Ernst Zermelo tysk matematikar
Ernst Zermelo tysk matematiker
Ernsts Cermelo
Zermelo, E.
Zermelo, E. 18711953
Zermelo, E. (Ernst), 18711953
Zermelo, Ernestus 18711953
Zermelo, Ernst 1871
Zermelo Ernst Friedrich Ferdinand 18711953
Ернст Цермело
Цермело, Эрнст
Эрнст Цэрмела
ארנסט צרמלו
ארנסט צרמלו מתמטיקאי גרמני
ارنست تسرملو ریاضیدان آلمانی
إرنست تسيرميلو رياضياتي ألماني
إرنست زيرميلو
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