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Volume 2

Zakharov, Valeriy K. / Rodionov, Timofey V. / Mikhalev, Alexander V.

Fundamentals of Functions and Measure Theory

Series:De Gruyter Studies in Mathematics 68/2

    119,95 € / $137.99 / £109.00*

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    Publication Date:
    February 2018
    Copyright year:
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    • A comprehensive, in-depth presentation of the fundamental parts of mathematics
    • This second volume covers functions and measure and integration theory in detail
    • Of interest to graduate students and researchers in mathematics

    Aims and Scope

    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.

    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


    xvi, 462 pages
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    Alexander V. Mikhalev, Timofey V. Rodionov and Valeriy K. Zakharov, Lomonosov Moscow State University, Russia.

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