Schriften der Mathematisch-naturwissenschaftlichen Klasse

Ernst Zermelo - Collected Works/Gesammelte Werke II

Volume II/Band II - Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung, Angewandte Mathematik und Physik

Authors: Zermelo, Ernst

Editors: Ebbinghaus, Heinz-Dieter, Kanamori, Akihiro (Eds.)

  • Second volume of Collected Works of Ernst Zermelo
  • Shows Zermelo's pioneering but little known work in applied mathematics
  • Extensive comments by current experts
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About this book

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 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.

About the authors

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.

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

Reviews

From the book reviews:

“This is the second and final volume of a complete edition of Ernst Zermelo’s collected works. … This second volume covers his contributions to the calculus of variations and to applied mathematics and physics. … There is much to be learned from this volume, even for those whose only interest is in Ernst Zermelo the set theorist.” (J. M. Plotkin, Mathematical Reviews, July, 2014)

“This is the only authoritative version of Zermelo’s collected works with English translations. Therefore, it is a tour de force for anyone not only interested in Zermelo’s papers, but also the historical background of many research areas of applied mathematics. I highly recommend this volume to applied mathematicians, from advanced undergraduate students up to specialists, such as those of variational problems and functional analysis.” (Arturo Ortiz-Tapia, Computing Reviews, June, 2014)


Table of contents (15 chapters)

  • Ernst Zermelo’s curriculum vitae

    Ebbinghaus, Heinz-Dieter

    Pages 1-9

  • Introductory note to 1894

    Fraser, Craig G.

    Pages 10-187

  • Introductory note to 1896a, 1896b, and Boltzmann 1896, 1897

    Uffink, Jos

    Pages 188-269

  • Introductory note to 1899a

    Thiele, Rüdiger

    Pages 270-279

  • Introductory note to s1899b

    Thiele, Rüdiger

    Pages 280-285

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-540-70856-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-540-70855-1
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Softcover $169.00
price for USA
  • ISBN 978-3-642-43231-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Ernst Zermelo - Collected Works/Gesammelte Werke II
Book Subtitle
Volume II/Band II - Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung, Angewandte Mathematik und Physik
Authors
Editors
  • Heinz-Dieter Ebbinghaus
  • Akihiro Kanamori
Translated by
De Pellegrin, E., Kramer, D.P.
Series Title
Schriften der Mathematisch-naturwissenschaftlichen Klasse
Series Volume
23
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-70856-8
DOI
10.1007/978-3-540-70856-8
Hardcover ISBN
978-3-540-70855-1
Softcover ISBN
978-3-642-43231-6
Edition Number
1
Number of Pages
XXIX, 781
Topics