Ernst Zermelo - Collected Works/Gesammelte Werke: Volume I/Band I - Set Theory, Miscellanea/Mengenlehre, Varia

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Springer Science & Business Media, 20.01.2010 - 654 Seiten
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Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and best-known for the first formulation of the axiom of choice. However, his papers include also pioneering work in applied mathematics and mathematical physics.

This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemented by selected items from his Nachlass and part of his translations of Homer's Odyssey. Volume II will contain his work in 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 which comments on the historical background, motivations, accomplishments, and influence.

 

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Inhalt

A glance at his life and work
3
Zermelos curriculum vitae by HeinzDieterEbbinghaus
42
Zermelo 1904
80
Zermelo 1908b
127
Zermelo 1909b
252
Freie Universität Berlin Boston MA 02215
260
Schachspiels
266
Landau 1917b
296
Zermelo 1930b
430
elstrodmath unimuenster
435
Brief an Reinhold Baer vom 7 October 1931
490
Brief an Kurt Gödel vom 29 Oktober 1931
500
Zermelo s1931f
506
Introductory note to s1931f and s1932d
516
Zermelo 1932a
530
Über mathematische Systeme und die Logik des Unendlichen
550

Universität Münster
302
Zermelo 1927
308
König 1927b
348
Zermelo s1929b
360
Introductory note to s1929b and 1930b
368
über die Grundlagen der Mengenlehre
400
Zermelo 1928
426
Zermelo s1932d
564
DieunbegrenzteZahlenreiheunddieexorbitantenZahlen
572
Zermelo 1935
578
Bibliography 611
610
Zermelo 1930c
642
Index
645
Urheberrecht

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Autoren-Profil (2010)

H.-D. EBBINGHAUS: has worked in mathematical logic, mainly in model theory, during the last years also in the history of set theory. Author of the biography of Zermelo, "Zermelo - An Approach to His Life And Work", http://www.springer.com/978-3-540-49551-2.

CRAIG FRASER: works on the history of analysis and mathematical mechanics, covering the period from the eighteenth to the twentieth centuries. A focus of his research has been the calculus of variations, Zermelo's first area of mathematical research. He is a corresponding member of the International Academy of the History of Science.

AKIHIRO KANAMORI: works in set theory, the history of set theory, and has written several papers on Zermelo and set theory.

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TitelErnst Zermelo - Collected Works/Gesammelte Werke: Volume I/Band I - Set Theory, Miscellanea/Mengenlehre, Varia
Band 21 von Schriften der Mathematisch-naturwissenschaftlichen Klasse
Autor/inErnst Zermelo
HerausgeberHeinz-Dieter Ebbinghaus, Akihiro Kanamori, Craig G. Fraser
Übersetzt vonEnzo de Pellegrin
Ausgabeillustriert
VerlagSpringer Science & Business Media, 2010
ISBN3540793844, 9783540793847
Länge654 Seiten
  
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