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Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
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Fundamentals of Set and Number Theory (Hardcover)
Loot Price: R4,609
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Fundamentals of Set and Number Theory (Hardcover)
Series: De Gruyter Studies in Mathematics
Expected to ship within 12 - 17 working days
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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
General
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