The Joy of Sets: Fundamentals of Contemporary Set TheorySpringer Science & Business Media, 24 jun 1994 - 194 pagina's This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast. |
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The Joy of Sets: Fundamentals of Contemporary Set Theory Keith Devlin Geen voorbeeld beschikbaar - 2012 |
The Joy of Sets: Fundamentals of Contemporary Set Theory Keith Devlin Geen voorbeeld beschikbaar - 1993 |
Veelvoorkomende woorden en zinsdelen
a₁ assume atoms Axiom of Choice Axiom of Constructibility Axiom of Foundation Axiom of Replacement Axiom of Subset B-valued b₁ bisimulation boolean algebra boolean-valued Clearly co-inductive definition cofinal collection concept consistent constructible hierarchy constructible set theory Corollary countable define denote depicting easily seen elements equivalence Exercise extensional fact fixed-point formula of LAST Fraenkel function Hence inaccessible cardinal indeterminates induction infinite cardinal isomorphic Let f limit ordinal logic mathematical non-well-founded sets nonempty notion number system operator ordinal number poset power set Proof proper class prove recursion principle result sequence set-theoretic Solution Lemma stationary sets Subset Selection successor ordinal Suppose system map system of equations tagged theory of sets top node topology uncountable unique decoration VA[X weakly inaccessible well-founded well-ordering woset Zermelo hierarchy Zermelo-Fraenkel set theory ZFC axioms ZFCA
Verwijzingen naar dit boek
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