Elements of set theory /

This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Enderton, Herbert B.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, �1977.
Temas:
Set theory.
Mathematics.
Physical Sciences & Mathematics.
Algebra.
Th�eorie des ensembles.
MATHEMATICS > Infinity.
MATHEMATICS > Logic.
Set theory
Mengenlehre
Verzamelingen (wiskunde)
Ensembles, Th�eorie des.
Acceso en línea:Texto completo

MARC

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100 1 |a Enderton, Herbert B. 
245 1 0 |a Elements of set theory /  |c Herbert B. Enderton. 
260 |a New York :  |b Academic Press,  |c �1977. 
300 |a 1 online resource (xiv, 279 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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504 |a Includes bibliographical references (pages 269-270) and index. 
520 |a This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning. 
505 0 |6 880-01  |a Types; ; ; Transfinite Recursion Again; ; ; Alephs; ; ; Ordinal Operations; ; ; Isomorphism Types; ; ; Arithmetic of Order Types; ; ; Ordinal Arithmetic; ; ; Chapter 9 Special Topics; ; ; Well-Founded Relations; ; ; Natural Models; ; ; Cofinality; ; ; Appendix Notation, Logic, and Proofs; ; ; Selected References for Further Study; ; ; List of Axioms; ; ; Index; 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified]:  |c HathiTrust Digital Library.  |d 2021.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
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650 0 |a Set theory. 
650 4 |a Mathematics. 
650 4 |a Physical Sciences & Mathematics. 
650 4 |a Algebra. 
650 6 |a Th�eorie des ensembles.  |0 (CaQQLa)201-0001167 
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650 7 |a MATHEMATICS  |x Logic.  |2 bisacsh 
650 7 |a Set theory  |2 fast  |0 (OCoLC)fst01113587 
650 7 |a Mengenlehre  |2 gnd  |0 (DE-588)4074715-3 
650 1 7 |a Verzamelingen (wiskunde)  |2 gtt 
650 7 |a Set theory.  |2 nli 
650 7 |a Ensembles, Th�eorie des.  |2 ram 
653 0 |a Set theory 
776 0 8 |i Print version:  |a Enderton, Herbert B.  |t Elements of Set Theory.  |d San Diego : Elsevier Science, �1977  |z 9780122384400 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780122384400  |z Texto completo 
880 0 |6 505-00/(S  |a Contents; ; ; Preface; ; ; List of Symbols; ; ; Chapter 1 Introduction; ; ; Baby Set Theory; ; ; Sets--An Informal View; ; ; Classes; ; ; Axiomatic Method; ; ; Notation; ; ; Historical Notes; ; ; Chapter 2 Axioms and Operations; ; ; Axioms; ; ; Arbitrary Unions and Intersections; ; ; Algebra of Sets; ; ; Epilogue; ; ; Review Exercises; ; ; Chapter 3 Relations and Functions; ; ; Ordered Pairs; ; ; Relations; ; ; n-Ary Relations; ; ; Functions; ; ; Infinite Cartesian Products; ; ; Equivalence Relations; ; ; Ordering Relations; ; ; Review Exercises; ; ; Chapter 4 Natural Numbers; ; ; Inductive Sets; ; ; Peano's Postulates; ; ; Recursion on ω 
880 0 |6 505-01/(S  |a Arithmetic; ; ; Ordering on ω; ; ; Review Exercises; ; ; Chapter 5 Construction of the Real Numbers; ; ; Integers; ; ; Rational Numbers; ; ; Real Numbers; ; ; Summaries; ; ; Two; ; ; Chapter 6 Cardinal Numbers and the Axiom of Choice; ; ; Equinumerosity; ; ; Finite Sets; ; ; Cardinal Arithmetic; ; ; Ordering Cardinal Numbers; ; ; Axiom of Choice; ; ; Countable Sets; ; ; Arithmetic of Infinite Cardinals; ; ; Continuum Hypothesis; ; ; Chapter 7 Orderings and Ordinals; ; ; Partial Orderings; ; ; Well Orderings; ; ; Replacement Axioms; ; ; Epsilon-Images; ; ; Isomorphisms; ; ; Ordinal Numbers; ; ; Debts Paid; ; ; Rank; ; ; Chapter 8 Ordinals and Order. 

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