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.
Rezensionen / Stimmen
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)
Reihe
Auflage
Softcover reprint of the original 1st ed. 2013
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Research
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Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 44 mm
Gewicht
ISBN-13
978-3-642-43231-6 (9783642432316)
DOI
10.1007/978-3-540-70856-8
Schweitzer Klassifikation
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.
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Übersetzung
