Title: Fundamentals of Functions and Measure Theory (De Gruyter Studies in Mathematics, 68/2)
Publisher: Walter de Gruyter
Publication Date: 2018
Language: English
ISBN 10: 3110550091
ISBN 13: 9783110550092
Binding: Hardcover
Condition: New

About this title

Synopsis

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

About the Author

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

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