Sets, functions, measures
 Responsibility
 Valeriy K. Zakharov, Timofey V. Rodionov, Alexander V. Mikhalev.
 Publication
 Berlin : De Gruyter, [2018]
 Copyright notice
 c2018
 Physical description
 2 volumes ; 25 cm.
 Series
 De Gruyter studies in mathematics volume 68/168/2.
Online
More options
Description
Creators/Contributors
 Author/Creator
 Zakharov, Valeriy K., author.
 Contributor
 Rodionov, Timofey V., author.
 Mikhalev, A. V. (Aleksandr VasilÊ¹evich), author.
Contents/Summary
 Bibliography
 Includes bibliographical references and indexes.
 Contents

 Volume I. Fundamentals of set and number theory / Valeriy K. Zakharov, Timofey V. Rodionov
 Volume 2. Fundamentals of functions and measure theory / Valeriy K. Zakharov, Timofey V. Rodionov, Alexander V. Mikhalev.
 Publisher's summary

This comprehensive twovolume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff's classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff's initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics. The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2. Contents Historical foreword on the centenary after Felix Hausdorff's classic Set Theory Fundamentals of the theory of functions Fundamentals of the measure theory Historical notes on the Riesz  Radon  Frechet problem of characterization of Radon integrals as linear functionals.
(source: Nielsen Book Data)
 Publisher's summary

This comprehensive twovolume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff's classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff's initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics.The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2. Contents Fundamentals of the theory of classes, sets, and numbers Characterization of all natural models of Neumann  Bernays  Godel and Zermelo  Fraenkel set theories Local theory of sets as a foundation for category theory and its connection with the Zermelo  Fraenkel set theory Compactness theorem for generalized secondorder language.
(source: Nielsen Book Data)
Subjects
 Subjects
 Set theory.
Bibliographic information
 Publication date
 2018
 Copyright date
 2018
 Series
 De Gruyter studies in mathematics, 01790986 ; volume 68/168/2
 ISBN
 9783110550955 (2v. set)
 3110550954 (2v. set)
 9783110550085 (v. 1 : hbk.)
 3110550083 (v. 1 : hbk.)
 9783110550092 (v. 2 : hbk.)
 3110550091 (v. 2 : hbk.)
 9783110550214 (v. 1  ePub : online)