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Sets, functions, measures. Volume I, Fundamentals of set and number theory /
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 f...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
[2018]
|
| Colección: | De Gruyter studies in mathematics ;
v. 68/1. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 020 | |a 9783110550948 |q (electronic bk.) | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Zakharov, Valeriy K., |e author. | |
| 245 | 1 | 0 | |a Sets, functions, measures. |n Volume I, |p Fundamentals of set and number theory / |c Valeriy K. Zakharov, Timofey V. Rodionov. |
| 264 | 1 | |a Berlin : |b De Gruyter, |c [2018] | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematics, |x 0179-0986 ; |v volume 68/1 | |
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed April 20, 2018) | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Historical foreword on the centenary after Felix Hausdorff's classic Set Theory -- |t Preface -- |t 1 Fundamentals of the theory of classes, sets, and numbers -- |t A Characterization of all natural models of Neumann -- Bernays -- Gödel and Zermelo -- Fraenkel set theories -- |t B Local theory of sets as a foundation for category theory and its connection with the Zermelo -- Fraenkel set theory -- |t C Compactness theorem for generalized second-order language -- |t Index of terms -- |t Index of notations -- |t Bibliography. |
| 520 | |a 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Set theory. | |
| 650 | 6 | |a Théorie des ensembles. | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Set theory |2 fast | |
| 700 | 1 | |a Rodionov, Timofey V. | |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v v. 68/1. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1710667 |z Texto completo |
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