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Elements of Set Theory by Herbert B. Enderton (1977, Hardcover)
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About this product
Product Identifiers
PublisherElsevier Science & Technology
ISBN-100122384407
ISBN-139780122384400
eBay Product ID (ePID)37576
Product Key Features
Number of Pages279 Pages
Publication NameElements of Set Theory
LanguageEnglish
Publication Year1977
SubjectSet Theory
TypeTextbook
Subject AreaMathematics
AuthorHerbert B. Enderton
FormatHardcover
Dimensions
Item Weight22.6 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Intended AudienceCollege Audience
LCCN76-027438
Dewey Edition19
IllustratedYes
Dewey Decimal511.3/22
Table Of ContentContents 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 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 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
SynopsisThis 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.
LC Classification NumberQA248
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