Set theory

Author(s)

• Tourlakis, George J.

Bibliographic Information

Set theory

George Tourlakis

（Cambridge studies in advanced mathematics, 83 . Lectures in logic and set theory / George Tourlakis ; v. 2）

Cambridge University Press, 2003

• : hardback

Note

Includes bibliographical references (p. 560-562) and index

Description and Table of Contents

Description

This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.

Table of Contents

• Preface
• 1. A bit of logic: a user's toolbox
• 2. The set-theoretic universe, naively
• 3. The axioms of set theory
• 4. The axiom of choice
• 5. The natural numbers
• transitive closure
• 6. Order
• 7. Cardinality
• 8. Forcing
• Bibliography
• List of symbols
• Index.

by "Nielsen BookData"

Details

• NCID: BA60621917
• ISBN:
  • 0521753740
• LCCN: 2002073308
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge
• Pages/Volumes: xv, 575 p.
• Size: 24 cm
• Classification:
  • DC21 : 511.3
  • LCC : QA9.2.T68 2003
• Subject Headings:
  • LCSH : Logic, symbolic and mathematical
  • LCSH : Set theory
• Parent Bibliography ID:
  • BA00109761