Phenomenological Reviews

Series | Book

COPR Bookmark
195428

Calculus of variations, applied mathematics, and physics/Variationsrechnung, angewandte mathematik und physik

Ernst Zermelo

edited byHeinz-Dieter Ebbinghaus Akihiro Kanamori

Abstract

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.

Details | Table of Contents

Ernst Zermelo's curriculum vitae Heinz-Dieter Ebbinghaus

pp.1-9

https://doi.org/10.1007/978-3-540-70856-8_1
Introductory note to 1894 Craig Fraser

pp.10-187

https://doi.org/10.1007/978-3-540-70856-8_2
Introductory note to 1896a, 1896b, and Boltzmann 1896, 1897 Jos Uffink

pp.188-269

https://doi.org/10.1007/978-3-540-70856-8_3
Introductory note to 1899a Rüdiger Thiele

pp.270-279

https://doi.org/10.1007/978-3-540-70856-8_4
Introductory note to s1899b Rüdiger Thiele

pp.280-285

https://doi.org/10.1007/978-3-540-70856-8_5
Introductory note to 1900 Jos Uffink

pp.286-299

https://doi.org/10.1007/978-3-540-70856-8_6
Introductory note to 1902a, s1902b, and s1902c Alexey V. Borisov

pp.300-483

https://doi.org/10.1007/978-3-540-70856-8_7
Introductory note to 1902d Rüdiger Thiele

pp.484-493

https://doi.org/10.1007/978-3-540-70856-8_8
Introductory note to 1904a Rüdiger Thiele

pp.494-511

https://doi.org/10.1007/978-3-540-70856-8_9
Introductory note to Hahn and Zermelo 1904 Rüdiger Thiele

pp.512-561

https://doi.org/10.1007/978-3-540-70856-8_10
Introductory note to 1906 Jos Uffink

pp.562-593

https://doi.org/10.1007/978-3-540-70856-8_11
Introductory note to Riesenfeld and Zermelo 1909 Hans-Georg Bartel

pp.594-615

https://doi.org/10.1007/978-3-540-70856-8_12
Introductory note to 1928 (= 1929) Mark E. Glickman

pp.616-671

https://doi.org/10.1007/978-3-540-70856-8_13
Introductory note to 1930c and 1931a Craig Fraser

pp.672-721

https://doi.org/10.1007/978-3-540-70856-8_14
Introductory note to 1933a Heinz-Dieter Ebbinghaus

pp.722-733

https://doi.org/10.1007/978-3-540-70856-8_15

Publication details

Publisher: Springer

Place: Dordrecht

Year: 2013

Pages: 781

Series: Ernst Zermelo Collected Works

Series volume: 2

ISBN (hardback): 978-3-540-70855-1

ISBN (digital): 978-3-540-70856-8

Full citation:

Zermelo Ernst (2013) Calculus of variations, applied mathematics, and physics/Variationsrechnung, angewandte mathematik und physik. Dordrecht, Springer.