Title: Introduction to set theory /
Authors: Hrbacek, Karel, 1944-; Jech, Thomas J.
Publisher: Marcel Dekker,
Year: 1999
Subjects: Set theory.
Abstract: "Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers "the basics"--Relations, functions, and orderings; finite, countable, and uncountable sets; and cardinal and ordinal numbers - in nine chapters perfect for a one-quarter or one-semester course ... provides five additional self-contained chapters to supplement the basic course or serve as a second-semester syllabus ... consolidates the material on real numbers into a single updated chapter affording flexibility in course design ... supplies end-of-section problems, with hints, of varying degrees of difficulty ... and more."--Jacket.
Contents: 1. Sets -- 2. Relations, functions, and orderings -- 3. Natural numbers -- 4. Finite, countable, and uncountable sets -- 5. Cardinal numbers -- 6. Ordinal numbers -- 7. Alephs -- 8. The axiom of choice -- 9. Arithmetic of cardinal numbers -- 10. Sets of real numbers -- 11. Filters and ultrafilters -- 12. Combinatorial set theory -- 13. Large cardinals -- 14. The axiom of foundation -- 15. The axiomatic set theory.