Ernst Zermelo - Collected Works/Gesammelte Werke II Volume II/Band I

Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and is best-known for the first formulation of the axiom of choice.  However, his papers also include pioneering work in applied mathematics and mathematical physics.This ed

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heidelberger akademie der wissenschaften

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Schriften der Mathematisch-naturwissenschaftlichen Klasse der Heidelberger Akademie der Wissenschaften Nr. 23 (2013)

ERNST ZERMELO

Collected Works Gesammelte Werke

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Zermelo around 1910

ERNST ZERMELO Collected Works Gesammelte Werke

ERNST ZERMELO

Collected Works Gesammelte Werke

VOLUME I BAND I

Set Theory, Miscellanea Mengenlehre, Varia VOLUME II BAND II

Calculus of Variations, Applied Mathematics, and Physics Variationsrechnung, Angewandte Mathematik und Physik

ERNST ZERMELO Collected Works Gesammelte Werke VOLUME II BAND II

Calculus of Variations, Applied Mathematics, and Physics Variationsrechnung, Angewandte Mathematik und Physik Edited by Herausgegeben von Heinz-Dieter Ebbinghaus, Akihiro Kanamori

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Editors Herausgeber

Heinz-Dieter Ebbinghaus University of Freiburg, Germany Akihiro Kanamori Boston University, MA, USA

ISBN 978-3-540-70855-1 e-ISBN 978-3-540-70856-8 DOI 10.1007/978-3-540-70856-8 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2007921876 Mathematics Subject Classification (2010): 01A55, 01A60, 01A75, 49-02, 49K05, 49K15, 49Q05, 49S05, 53C22, 62J15, 70B99, 76B47, 76M23, 76R50, 80A05, 82C03, 82C40 © Springer-Verlag Berlin Heidelberg 2013 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: WMXDesign GmbH, Heidelberg Typesetting and production: le-tex publishing services oHG, Leipzig Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface to the Zermelo edition This is a complete edition of the published works of Ernst Zermelo which moreover includes selected correspondence and unpublished manuscripts. Zermelo is generally acknowledged for his pioneering work in axiomatic set theory and for introducing the axiom of choice as a basic principle of mathematics. In contrast, his work in applied mathematics and physics, despite its originality, is hardly recognized or has even been attributed to others. This edition of Zermelo’s collected works provides a picture of the entire mathematician. It appears in two volumes. The first volume comprises Zermelo’s published papers in set theory and the foundation of mathematics together with isolated papers of