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Fundamentals of Set and Number Theory

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Title: Fundamentals of Set and Number Theory
Description: 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
Authors: Valeriy K. Zakharov, Timofey V. Rodionov
Resource Type: eBook.
Subjects: Set theory
Categories: MATHEMATICS / Set Theory, MATHEMATICS / Logic, MATHEMATICS / Number Systems, MATHEMATICS / Mathematical Analysis
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1710667
RelevancyScore: 1084
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1083.55249023438
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  Data: Fundamentals of Set and Number Theory
– Name: Abstract
  Label: Description
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  Data: 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
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  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Valeriy+K%2E+Zakharov%22">Valeriy K. Zakharov</searchLink><br /><searchLink fieldCode="AR" term="%22Timofey+V%2E+Rodionov%22">Timofey V. Rodionov</searchLink>
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  Label: Resource Type
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  Data: eBook.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Set+theory%22">Set theory</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Set+Theory%22">MATHEMATICS / Set Theory</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Logic%22">MATHEMATICS / Logic</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Number+Systems%22">MATHEMATICS / Number Systems</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 511.322
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Set theory
        Type: general
    Titles:
      – TitleFull: Fundamentals of Set and Number Theory
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Valeriy K. Zakharov
      – PersonEntity:
          Name:
            NameFull: Timofey V. Rodionov
      – PersonEntity:
          Name:
            NameFull: Valeriy K. Zakharov
      – PersonEntity:
          Name:
            NameFull: Timofey V. Rodionov
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 23
              M: 04
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9783110550085
            – Type: isbn-electronic
              Value: 9783110550214
            – Type: isbn-electronic
              Value: 9783110550948
            – Type: isbn-electronic
              Value: 9783110550955
          Numbering:
            – Type: volume
              Value: Volume I
          Titles:
            – TitleFull: Fundamentals of Set and Number Theory
              Type: main
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