Fundamentals of Set and Number Theory (de Gruyter Studies in Mathematics): 68 (De Gruyter Studies in Mathematics, 68/1) - Hardcover
Synopsis
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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About the Author
Timofey V. Rodionov and Valeriy K. Zakharov, Lomonosov Moscow State University, Russia.
"About this title" may belong to another edition of this title.
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This set of two volumes evinces serious scholarship, and appears to do precisely what the authors set out to do, in homage to what Hausdorff did a century ago. It is a very valuable piece of work. Michael Berg in: MAA (09.2018), Seller Inventory # 158156217
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Fundamentals of Set and Number Theory
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De Gruyter, De Gruyter Feb 2018, 2018
ISBN 10: 3110550083
ISBN 13: 9783110550085
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 448 pp. Englisch. Seller Inventory # 9783110550085
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Fundamentals of Set and Number Theory
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Buch. Condition: Neu. Fundamentals of Set and Number Theory | Timofey V. Rodionov (u. a.) | Buch | XVIII | Englisch | 2018 | De Gruyter | EAN 9783110550085 | Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 111017004
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Fundamentals of Set and Number Theory
Published by
De Gruyter, De Gruyter Feb 2018, 2018
ISBN 10: 3110550083
ISBN 13: 9783110550085
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.¿ContentsFundamentals of the theory of classes, sets, and numbersCharacterization of all natural models of Neumann ¿ Bernays ¿ Godel and Zermelo ¿ Fraenkel set theoriesLocal theory of sets as a foundation for category theory and its connection with the Zermelo ¿ Fraenkel set theoryCompactness theorem for generalized second-order languageWalter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 448 pp. Englisch. Seller Inventory # 9783110550085
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Fundamentals of Set and Number Theory
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Condition: Hervorragend. Zustand: Hervorragend | Seiten: 448 | Sprache: Englisch | Produktart: Bücher | 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. Seller Inventory # 29229446/1
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Fundamentals of Set and Number Theory
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783110550085