Fundamentals of Functions and Measure Theory by Valeriy K Zakharov

Fundamentals of Functions and Measure Theory by Valeriy K Zakharov

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Fundamentals of Functions and Measure Theory by Valeriy K Zakharov

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.

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

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

SKU Unavailable
ISBN 13 9783110550092
ISBN 10 3110550091
Title Fundamentals of Functions and Measure Theory
Author Valeriy K Zakharov
Series De Gruyter Studies In Mathematics Ser
Condition Unavailable
Binding Type Hardback
Publisher De Gruyter
Year published 2018-02-05
Number of pages 478
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.