Elements of Set Theory

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Gulf Professional Publishing, 1977 - Mathematics - 279 pages
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This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
 

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Contents

Chapter 1 INTRODUCTION
1
Chapter 2 AXIOMS AND OPERATIONS
17
Chapter 3 RELATIONS AND FUNCTIONS
35
Chapter 4 NATURAL NUMBERS
66
Chapter 5 CONSTRUCTION OF THE REAL NUMBERS
90
Chapter 6 CARDINAL NUMBERS AND THE AXIOM OF CHOICE
128
Chapter 7 ORDERINGS AND ORDINALS
167
Chapter 8 ORDINALS AND ORDER TYPES
209
Chapter 9 SPECIAL TOPICS
241
NOTATION LOGIC AND PROOFS
263
Selected References for Further Study
269
List of Axioms
271
Index
273
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