Set theory / by Felix Hausdorff ; translated from the German by John R. Aumann, et al.Traduction de: MengenlehreType de document : MonographieLangue : anglais ; de l'oeuvre originale, allemand.Pays : Etats Unis.Mention d'édition: Reprint of the 4th english ed.Éditeur : Providence (R.I.) : American Mathematical Society, cop. 2005Description : 1 vol. (352 p.) : fig. ; 24 cmISBN : 0821838350.Bibliographie : Bibliogr. p. 340-346. Index.Sujet MSC : 03Exx, Mathematical logic and foundations - Set theory
01A75, History of mathematics and mathematicians, Collected or selected works; reprintings or translations of classics
54H05, Connections of general topology with other structures, applications, Descriptive set theory
26A21, Real functions - Functions of one variable, Classification of real functions; Baire classification of sets and functionsEn-ligne : sommaire AMS
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1ère éd. anglaise New York : Cheslea Pub. Co., 1957
Trad. de : "Mengenlehre"
Bibliogr. p. 340-346. Index
This work is a translation into English of the Third Edition of the classic German language work Mengenlehre by Felix Hausdorff published in 1937.
From the Preface (1937): "The present book has as its purpose an exposition of the most important theorems of the theory of sets, along with complete proofs, so that the reader should not find it necessary to go outside this book for supplementary details while, on the other hand, the book should enable him to undertake a more detailed study of the voluminous literature on the subject. The book does not presuppose any mathematical knowledge beyond the differential and integral calculus, but it does require a certain maturity in abstract reasoning; qualified college seniors and first year graduate students should have no difficulty in making the material their own ... The mathematician will ... find in this book some things that will be new to him, at least as regards formal presentation and, in particular, as regards the strengthening of theorems, the simplification of proofs, and the removal of unnecessary hypotheses." (Source : AMS).