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Elements of set theory

By: Material type: TextTextLanguage: English Publication details: New York Academic Press 1977Description: xiv, 279p. illISBN:
  • 9780122384400 (HB)
Subject(s):
Contents:
1. Introduction 2. Axioms And Operations 3. Relations And Functions 4. Natural Numbers 5. Construction Of The Real Numbers 6. Cardinal Numbers And The Axiom Of Choice 7. Orderings And Ordinals 8. Ordinals And Order Types 9. Special Topics
Summary: 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.
Item type: BOOKS List(s) this item appears in: New Arrivals (17 March 2025)
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Current library Home library Call number Materials specified Status Date due Barcode
IMSc Library IMSc Library 510.22 END (Browse shelf(Opens below)) Available 78388

Includes index

Includes bibliography (p. 269-270) and references.

1. Introduction
2. Axioms And Operations
3. Relations And Functions
4. Natural Numbers
5. Construction Of The Real Numbers
6. Cardinal Numbers And The Axiom Of Choice
7. Orderings And Ordinals
8. Ordinals And Order Types
9. Special Topics

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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The Institute of Mathematical Sciences, Chennai, India