Fundamentals of Functions and Measure Theory
eBook - ePub

Fundamentals of Functions and Measure Theory

  1. 478 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Fundamentals of Functions and Measure Theory

Book details
Table of contents
Citations

About This Book

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

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Yes, you can access Fundamentals of Functions and Measure Theory by Valeriy K. Zakharov, Timofey V. Rodionov, Alexander V. Mikhalev in PDF and/or ePUB format, as well as other popular books in Mathematik & Angewandte Mathematik. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2018
ISBN
9783110550221
Edition
1
Topic
Mathematik
Subtopic
Angewandte Mathematik

Table of contents

  1. Cover
  2. Title page
  3. Copyright
  4. Dedication
  5. Contents
  6. Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory
  7. Preface
  8. 2 Fundamentals of the theory of functions
  9. 3 Fundamentals of the measure theory
  10. D Historical notes on the Riesz – Radon – FrĂ©chet problem of characterization of Radon integrals as linear functionals
  11. Index of terms
  12. Index of notations
  13. Bibliography