Introduction to set theory
著者
書誌事項
Introduction to set theory
（Monographs and textbooks in pure and applied mathematics, 220）
Marcel Dekker, c1999
3rd ed., rev. and expanded
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注記
Bibliography: p. 285-286
Includes index
Publisher changed: Marcel Dekker → CRC Press (Taylor & Francis Group)
内容説明・目次
内容説明
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, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, 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, includes new material on normal forms and Goodstein sequences, and adds important recent ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.
目次
- Sets
- relations, functions and orderings
- natural numbers
- finite, countable and uncountable sets
- cardinal numbers
- ordinal numbers
- alephs
- the axiom of choice
- arithmetic of cardinal numbers
- sets of real numbers
- filters and ultrafilters
- combinatorial set theory
- large cardinals
- the axiom of foundation
- the axiomatic set theory.
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