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Sets, Functions, Measures

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This comprehensive two-volume 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.

Author(s): Valeriy K. Zakharov, Timofey V. Rodionov, Alexander V. Mikhalev
Series: De Gruyter Studies in Mathematics, 68
Edition: 1
Publisher: De Gruyter
Year: 2018

Language: English
Pages: 462
Tags: Functions, Measure Theory

Contents
Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory
Preface
2. Fundamentals of the theory of functions
3. Fundamentals of the measure theory
D. Historical notes on the Riesz – Radon – Fréchet problem of characterization of Radon integrals as linear functionals
Index of terms
Index of notations
Bibliography