Introduction to set theory
Author(s)
Bibliographic Information
Introduction to set theory
（Monographs and textbooks in pure and applied mathematics, 220）
Marcel Dekker, c1999
3rd ed., rev. and expanded
Available at / 50 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
511.322/H8572070476575
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Note
Bibliography: p. 285-286
Includes index
Publisher changed: Marcel Dekker → CRC Press (Taylor & Francis Group)
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"