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Volume 1

Zakharov, Valeriy K. / Rodionov, Timofey V.

Fundamentals of Set and Number Theory

Series:De Gruyter Studies in Mathematics 68/1

    119,95 € / $137.99 / £109.00*

    eBook (PDF)
    Publication Date:
    February 2018
    Copyright year:
    2018
    ISBN
    978-3-11-055094-8
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    Overview

    • A comprehensive, in-depth presentation of the fundamental parts of mathematics
    • This first volume covers logic, set theory and number systems in detail
    • Of interest to graduate students and researchers in mathematics

    Aims and Scope

    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

    Details

    xviii, 428 pages
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):

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

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