Ernst Zermelo - Collected Works/Gesammelte Werke II: Volume II/Band II - Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung,

ISBN-13: 9783642432316 / Angielski / Miękka / 2015 / 781 str.

Ernst Zermelo; Heinz Dieter Ebbinghaus; Akihiro Kanamori

Opis

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."

Recenzje

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)

Spis treści

Ernst Zermelo’s curriculum vitae by Heinz-Dieter Ebbinghaus.- Zermelo 1894.- Zermelo 1896a.- Boltzmann 1896.- Zermelo 1896b.- Boltzmann 1897.- Zermelo 1899a.- Zermelo s1899b.- Zermelo 1900.- Zermelo 1902a.- Zermelo s1902b.- Zermelo s1902c.- Zermelo 1902d.- Zermelo 1904a.- Hahn and Zermelo 1904.- Zermelo 1906.- Riesenfeld and Zermelo 1909.- Zermelo 1928.- Zermelo 1930c.- Zermelo 1931a.- Zermelo 1933a.- Bibliography.- Index

O autorze

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.