Elementary Set Theory, Part I/II

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Hong Kong University Press, Jul 1, 1992 - Mathematics - 148 pages
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This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory.
 

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This is a very basic, fundamental book on set theory.
It describes all the necessary concepts that are essential to construct a set and It is free from conceptual loop holes at my level of understanding .

Contents

STATEMENT CALCULUS
3
SETS
22
CHAPTERS RELATIONS
43
MAPPINGS
53
FAMILIES
67
NATURAL NUMBERS
77
FINITE AND INFINITE SETS
91
ORDERED SETS
102
ORDINAL NUMBERS AND CARDINAL NUMBERS
117
SPECIAL SYMBOLS AND ABBREVIATIONS
129
Copyright

Other editions - View all

Elementary Set Theory, Part I
K.T. Leung,Doris Lai-chue Chen
Limited preview - 1992
Elementary Set Theory, Part I
K.T. Leung,Doris Lai-chue Chen
Limited preview - 1992
Elementary Set Theory, Part 1
Kam-Tim Leung,Doris Lai-Chue Kwok Chen
Snippet view - 1964

Common terms and phrases

A U B axiom of choice axiom of extension belongs bijective mapping called cardinal cartesian product concept construct definition denote disjunction empty family empty set equal equipotent equivalence relation example exists F F F F T F family of elements family of sets family of subsets finite sets following conditions following theorem hence Hong Kong inclusion infinite set injective integers intersection isomorphic iterated composition least element mathematical induction maximal element natural numbers natural sequence negation non-empty set number of elements objects ordered pair ordered set ordinal numbers power set PROOF proper segment proper subset Prove quotient set rational numbers recursion theorem respectively Section set of departure set theory singleton statement function successor set surjective symbol topology transfinite induction true truth functional truth table truth value ty(A union usual order relation valid formula well-ordered set well-ordering principle

References to this book

한글, Issues 245-248

Snippet view - 1999
Seventh Scandinavian Conference on Artificial Intelligence: SCAI'01
Henrik Hautop Lund,B. H. Mayoh,John W. Perram
Limited preview - 2001

Bibliographic information

QR code for Elementary Set Theory, Part I/II
TitleElementary Set Theory, Part I/II
AuthorsK.T. Leung, Doris Lai-chue Chen
Editionreprint, revised
PublisherHong Kong University Press, 1992
ISBN9622090265, 9789622090262
Length148 pages
Subjects › 

Mathematics / General
  
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