Introduction to Set Theory

ISBN-10: 0824779150
ISBN-13: 9780824779153
Edition: 3rd 1999 (Revised)
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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  More...

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Book details

List price: $99.95
Edition: 3rd
Copyright year: 1999
Publisher: CRC Press LLC
Publication date: 6/22/1999
Binding: Hardcover
Pages: 310
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.430
Language: English

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.

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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