Fundamentals of Functions and Measure Theory

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

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English

De Gruyter
05 February 2018

Mathematical logic; Set theory; Number systems; Calculus & mathematical analysis

Series: De Gruyter Studies in Mathematics

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

By: Valeriy K. Zakharov, Timofey V. Rodionov, Alexander V. Mikhalev
Imprint: De Gruyter
Country of Publication: Germany
Volume: 68/2
Dimensions: Height: 240mm, Width: 170mm, Spine: 33mm
Weight: 923g
ISBN: 9783110550092
ISBN 10: 3110550091
Series: De Gruyter Studies in Mathematics
Pages: 478
Publication Date: 05 February 2018
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

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