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- Second volume of Collected Works of Ernst Zermelo
- Shows Zermelo's pioneering but little known work in applied mathematics
- Extensive comments by current experts
- Includes supplementary material: sn.pub/extras
Part of the book series: Schriften der Mathematisch-naturwissenschaftlichen Klasse (SCHRIFTMATH, volume 23)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
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.
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)
Authors, Editors and Affiliations
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Abt. Mathematische Logik, Universität Freiburg Mathematisches Institut, Freiburg, Germany
Heinz-Dieter Ebbinghaus
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Boston University Dept. Manufacturing Engineering, Boston, USA
Akihiro Kanamori
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Heidelberg, Germany
Ernst Zermelo
About the editors
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.
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: Ernst Zermelo
Editors: Heinz-Dieter Ebbinghaus, Akihiro Kanamori
Series Title: Schriften der Mathematisch-naturwissenschaftlichen Klasse
DOI: https://doi.org/10.1007/978-3-540-70856-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Hardcover ISBN: 978-3-540-70855-1Published: 10 September 2013
Softcover ISBN: 978-3-642-43231-6Published: 28 August 2015
eBook ISBN: 978-3-540-70856-8Published: 15 August 2013
Series ISSN: 2945-901X
Series E-ISSN: 2945-9028
Edition Number: 1
Number of Pages: XXIX, 781
Topics: Mathematical Logic and Foundations, Mathematical Logic and Formal Languages, Applications of Mathematics, History of Mathematical Sciences, History of Science, History of Philosophy