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Dover Books on Mathematics Ser.: Naive Set Theory by Paul R. Halmos (2017, Trade Paperback)
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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486814874
ISBN-139780486814872
eBay Product ID (ePID)229682118
Product Key Features
Number of Pages112 Pages
Publication NameNaive Set Theory
LanguageEnglish
SubjectSet Theory, Logic, Arithmetic
Publication Year2017
TypeTextbook
AuthorPaul R. Halmos
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight5.8 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Intended AudienceTrade
LCCN2016-043254
Dewey Edition23
Dewey Decimal511.3/22
Table Of ContentPreface. 1: The Axiom of Extension. 2: The Axiom of Specification. 3: Unordered Pairs. 4: Unions and Intersections. 5: Complements and Powers. 6: Ordered Pairs. 7: Relations. 8: Functions. 9: Families. 10: Inverses and Composites. 11: Numbers. 12: The Peano Axioms. 13: Arithmetic. 14: Order. 15: The Axiom of Choice. 16: Zorn's Lemma. 17: Well Ordering. 18: Transfinite Recursion. 19: Ordinal Numbers. 20: Sets of Ordinal Numbers. 21: Ordinal Arithmetic. 22: The Schröder-Bernstein Theorem. 23: Countable Sets. 24: Cardinal Arithmetic. 25: Cardinal numbers. Index
SynopsisThis classic by one of the 20th century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs the language and notation of informal mathematics. Topics include the basic concepts of set theory, cardinal numbers, transfinite methods, and a good deal more in 25 brief chapters., Classic by prominent mathematician offers a concise introduction to set theory using language and notation of informal mathematics. Topics include the basic concepts of set theory, cardinal numbers, transfinite methods, more. 1960 edition., This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs the language and notation of informal mathematics. There are very few displayed theorems; most of the facts are stated in simple terms, followed by a sketch of the proof. Only a few exercises are designated as such since the book itself is an ongoing series of exercises with hints. The treatment covers the basic concepts of set theory, cardinal numbers, transfinite methods, and a good deal more in 25 brief chapters. "This book is a very specialized but broadly useful introduction to set theory. It is aimed at 'the beginning student of advanced mathematics' ... who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. ... A good reference for how set theory is used in other parts of mathematics." -- Allen Stenger, The Mathematical Association of America, September 2011.
LC Classification NumberQA248.H26 2017
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