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Introduction to set theory (Monographs and textbooks in pure and applied mathematics ; 45) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
"The book remains an excellent text for a senior undergraduate or first-year graduate level course. There is sufficient material for instructors of widely differing views to assemble one-semester courses. . ..the chapter on the axiom of choice is particularly strong." ---Mathematical Reviews ." . .a fine text. . ..The proofs are both elegant and readable." ---American Mathematical Monthly ." . .offers many benefits including. . .interesting applications of abstract set theory to real analysis. . .enriching standard classroom material." ---L'Enseignement mathematique ." . .an excellent and much needed book. . .Especially valuable are a number of remarks sprinkled throughout the text which afford a glimpse of further developments." ---The Mathematical Intelligencer "The authors show that set theory is powerful enough to serve as an underlying framework for mathematics by using it to develop the beginnings of the theory of natural, rational, and real numbers." ---Quarterly Review of Applied Mathematics ." . .In the third edition, Chapter 11 has been expanded, and four new chapters have been added." ---Mathematical Reviews
"About this title" may belong to another edition of this title.
- PublisherDekker
- Publication date1984
- ISBN 10 0824765702
- ISBN 13 9780824765705
- BindingHardcover
- LanguageEnglish
- Number of pages190
- Rating
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