Sets, Functions, Measures. / Volume 1, : Fundamentals of Set and Number Theory / / 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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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
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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 , 68/1
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spelling Zakharov, Valeriy K., author. aut http://id.loc.gov/vocabulary/relators/aut
Sets, Functions, Measures. Volume 1, Fundamentals of Set and Number Theory / Timofey V. Rodionov, Valeriy K. Zakharov.
Berlin ; Boston : De Gruyter, [2018]
©2018
1 online resource (XVIII, 428 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 68/1
Frontmatter -- Contents -- Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory -- Preface -- 1 Fundamentals of the theory of classes, sets, and numbers -- A Characterization of all natural models of Neumann – Bernays – Gödel and Zermelo – Fraenkel set theories -- B Local theory of sets as a foundation for category theory and its connection with the Zermelo – Fraenkel set theory -- C Compactness theorem for generalized second-order language -- 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 Fundamentals of the theory of classes, sets, and numbers Characterization of all natural models of Neumann – Bernays – Godel and Zermelo – Fraenkel set theories Local theory of sets as a foundation for category theory and its connection with the Zermelo – Fraenkel set theory Compactness theorem for generalized second-order language
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)
Klasse ‹Mathematik›.
Mathematische Logik.
Mengenlehre.
Zahlensystem.
MATHEMATICS / Set Theory. bisacsh
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 9783110550214
print 9783110550085
https://doi.org/10.1515/9783110550948
https://www.degruyter.com/isbn/9783110550948
Cover https://www.degruyter.com/document/cover/isbn/9783110550948/original
language English
format eBook
author Zakharov, Valeriy K.,
Zakharov, Valeriy K.,
Rodionov, Timofey V.,
spellingShingle Zakharov, Valeriy K.,
Zakharov, Valeriy K.,
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 --
1 Fundamentals of the theory of classes, sets, and numbers --
A Characterization of all natural models of Neumann – Bernays – Gödel and Zermelo – Fraenkel set theories --
B Local theory of sets as a foundation for category theory and its connection with the Zermelo – Fraenkel set theory --
C Compactness theorem for generalized second-order language --
Index of terms --
Index of notations --
Bibliography
author_facet Zakharov, Valeriy K.,
Zakharov, Valeriy K.,
Rodionov, Timofey V.,
Rodionov, Timofey V.,
Rodionov, Timofey V.,
author_variant v k z vk vkz
v k z vk vkz
t v r tv tvr
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Rodionov, Timofey V.,
Rodionov, Timofey V.,
author2_variant t v r tv tvr
author2_role VerfasserIn
VerfasserIn
author_sort Zakharov, Valeriy K.,
title Sets, Functions, Measures.
title_full Sets, Functions, Measures. Volume 1, Fundamentals of Set and Number Theory / Timofey V. Rodionov, Valeriy K. Zakharov.
title_fullStr Sets, Functions, Measures. Volume 1, Fundamentals of Set and Number Theory / Timofey V. Rodionov, Valeriy K. Zakharov.
title_full_unstemmed Sets, Functions, Measures. Volume 1, Fundamentals of Set and Number Theory / 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 --
1 Fundamentals of the theory of classes, sets, and numbers --
A Characterization of all natural models of Neumann – Bernays – Gödel and Zermelo – Fraenkel set theories --
B Local theory of sets as a foundation for category theory and its connection with the Zermelo – Fraenkel set theory --
C Compactness theorem for generalized second-order language --
Index of terms --
Index of notations --
Bibliography
title_new Sets, Functions, Measures.
title_sort sets, functions, measures. fundamentals of set and number theory /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2018
physical 1 online resource (XVIII, 428 p.)
Issued also in print.
contents Frontmatter --
Contents --
Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory --
Preface --
1 Fundamentals of the theory of classes, sets, and numbers --
A Characterization of all natural models of Neumann – Bernays – Gödel and Zermelo – Fraenkel set theories --
B Local theory of sets as a foundation for category theory and its connection with the Zermelo – Fraenkel set theory --
C Compactness theorem for generalized second-order language --
Index of terms --
Index of notations --
Bibliography
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issn 0179-0986 ;
url https://doi.org/10.1515/9783110550948
https://www.degruyter.com/isbn/9783110550948
https://www.degruyter.com/document/cover/isbn/9783110550948/original
illustrated Not Illustrated
doi_str_mv 10.1515/9783110550948
oclc_num 1024006444
work_keys_str_mv AT zakharovvaleriyk setsfunctionsmeasuresvolume1
AT rodionovtimofeyv setsfunctionsmeasuresvolume1
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title_part_txt Fundamentals of Set and Number 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
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