Sets, Functions, Measures. / Volume 2, : Fundamentals of Functions and Measure Theory / / Alexander V. Mikhalev, Timofey V. Rodionov, 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 re...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
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Zakharov, Valeriy K., author. aut http://id.loc.gov/vocabulary/relators/aut Sets, Functions, Measures. Volume 2, Fundamentals of Functions and Measure Theory / Alexander V. Mikhalev, Timofey V. Rodionov, Valeriy K. Zakharov. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (XVI, 462 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 68/2 Frontmatter -- Contents -- Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory -- Preface -- 2. Fundamentals of the theory of functions -- 3. Fundamentals of the measure theory -- D. Historical notes on the Riesz – Radon – Fréchet problem of characterization of Radon integrals as linear functionals -- Index of terms -- Index of notations -- Bibliography restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Lebesgue-Integral. Maßtheorie. Messbare Funktion. Radon-Integral. Reelle Analysis. MATHEMATICS / Set Theory. bisacsh Mikhalev, Alexander V., author. aut http://id.loc.gov/vocabulary/relators/aut Rodionov, Timofey V., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA EPUB 9783110550221 print 9783110550092 https://doi.org/10.1515/9783110550962 https://www.degruyter.com/isbn/9783110550962 Cover https://www.degruyter.com/document/cover/isbn/9783110550962/original |
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author |
Zakharov, Valeriy K., Zakharov, Valeriy K., Mikhalev, Alexander V., Rodionov, Timofey V., |
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Zakharov, Valeriy K., Zakharov, Valeriy K., Mikhalev, Alexander V., Rodionov, Timofey V., Sets, Functions, Measures. De Gruyter Studies in Mathematics , Frontmatter -- Contents -- Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory -- Preface -- 2. Fundamentals of the theory of functions -- 3. Fundamentals of the measure theory -- D. Historical notes on the Riesz – Radon – Fréchet problem of characterization of Radon integrals as linear functionals -- Index of terms -- Index of notations -- Bibliography |
author_facet |
Zakharov, Valeriy K., Zakharov, Valeriy K., Mikhalev, Alexander V., Rodionov, Timofey V., Mikhalev, Alexander V., Mikhalev, Alexander V., Rodionov, Timofey V., Rodionov, Timofey V., |
author_variant |
v k z vk vkz v k z vk vkz a v m av avm t v r tv tvr |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Mikhalev, Alexander V., Mikhalev, Alexander V., Rodionov, Timofey V., Rodionov, Timofey V., |
author2_variant |
a v m av avm t v r tv tvr |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Zakharov, Valeriy K., |
title |
Sets, Functions, Measures. |
title_full |
Sets, Functions, Measures. Volume 2, Fundamentals of Functions and Measure Theory / Alexander V. Mikhalev, Timofey V. Rodionov, Valeriy K. Zakharov. |
title_fullStr |
Sets, Functions, Measures. Volume 2, Fundamentals of Functions and Measure Theory / Alexander V. Mikhalev, Timofey V. Rodionov, Valeriy K. Zakharov. |
title_full_unstemmed |
Sets, Functions, Measures. Volume 2, Fundamentals of Functions and Measure Theory / Alexander V. Mikhalev, Timofey V. Rodionov, Valeriy K. Zakharov. |
title_auth |
Sets, Functions, Measures. |
title_alt |
Frontmatter -- Contents -- Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory -- Preface -- 2. Fundamentals of the theory of functions -- 3. Fundamentals of the measure theory -- D. Historical notes on the Riesz – Radon – Fréchet problem of characterization of Radon integrals as linear functionals -- Index of terms -- Index of notations -- Bibliography |
title_new |
Sets, Functions, Measures. |
title_sort |
sets, functions, measures. fundamentals of functions and measure theory / |
series |
De Gruyter Studies in Mathematics , |
series2 |
De Gruyter Studies in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2018 |
physical |
1 online resource (XVI, 462 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory -- Preface -- 2. Fundamentals of the theory of functions -- 3. Fundamentals of the measure theory -- D. Historical notes on the Riesz – Radon – Fréchet problem of characterization of Radon integrals as linear functionals -- Index of terms -- Index of notations -- Bibliography |
isbn |
9783110550962 9783110762488 9783110719550 9783110494938 9783110604252 9783110603255 9783110604191 9783110603194 9783110550221 9783110550092 |
issn |
0179-0986 ; |
url |
https://doi.org/10.1515/9783110550962 https://www.degruyter.com/isbn/9783110550962 https://www.degruyter.com/document/cover/isbn/9783110550962/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110550962 |
oclc_num |
1024056596 |
work_keys_str_mv |
AT zakharovvaleriyk setsfunctionsmeasuresvolume2 AT mikhalevalexanderv setsfunctionsmeasuresvolume2 AT rodionovtimofeyv setsfunctionsmeasuresvolume2 |
status_str |
n |
ids_txt_mv |
(DE-B1597)482591 (OCoLC)1024056596 |
carrierType_str_mv |
cr |
title_part_txt |
Fundamentals of Functions and Measure Theory / |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 |
is_hierarchy_title |
Sets, Functions, Measures. |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
author2_original_writing_str_mv |
noLinkedField noLinkedField noLinkedField noLinkedField |
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1806144451024781312 |
fullrecord |
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