Elements of set theory. (©1977)

• Record Type: Book
• Further Information: Note: Herbert B. Enderton.
• Other Names: Enderton, Herbert B
• Contents: 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; ; ; 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; ; ; ; ; ; ;
• Publisher Details: New York : Academic Press
• Publication Date: 1977
• Copyright Date: 1977
• Extent: 1 online resource (xiv, 279 pages), illustrations
• Subjects: 511/.3; Set theory; Set theory; MATHEMATICS -- Infinity; MATHEMATICS -- Logic; Set theory; Electronic books
• Languages: English
• ISBNs: 9780080570426; 0080570429
• Related ISBNs: 0122384407; 9780122384400
• Notes: Note: Includes bibliographical references (pages 269-270) and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.