Chapter 1. An Introduction to Set Theory

  1. André I. Khuri

Published Online: 26 MAR 2003

DOI: 10.1002/0471394882.ch1

Advanced Calculus with Applications in Statistics, Second Edition

Advanced Calculus with Applications in Statistics, Second Edition

How to Cite

Khuri, A. I. (2002) An Introduction to Set Theory, in Advanced Calculus with Applications in Statistics, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471394882.ch1

Author Information

  1. University of Florida, Gainesville, Florida, USA

Publication History

  1. Published Online: 26 MAR 2003
  2. Published Print: 1 NOV 2002

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. David J. Balding,
  2. Peter Bloomfield,
  3. Noel A. C. Cressie,
  4. Nicholas I. Fisher,
  5. Iain M. Johnstone,
  6. J. B. Kadane,
  7. Louise M. Ryan,
  8. David W. Scott,
  9. Adrian F. M. Smith and
  10. Jozef L. Teugels

ISBN Information

Print ISBN: 9780471391043

Online ISBN: 9780471394884

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Keywords:

  • bounded set;
  • compact set;
  • countable set;
  • greatest lower bound;
  • least upper bound;
  • point-set topology;
  • probability space;
  • set operations

Summary

This chapter introduces the basic elements of set theory. It covers set operations, relations and functions, several properties of sets, and a brief account of some basic definitions and results in point-set topology. Some applications of set theory in probability and statistics are included in the last section.