Books on Set Theory: Recommendations & Reviews

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SUMMARY

This discussion focuses on recommendations for books on set theory, highlighting several key titles. "Naive Set Theory" by Paul Halmos is suggested for beginners, while "Axiomatic Set Theory" by Patrick Suppes is noted for its rigor, despite having some issues. "Theory of Sets" by Hrbacek and Jech is praised for its comprehensive coverage. For those seeking foundational skills, "Book of Proof" by Richard Hammack and "How to Prove It" by Daniel J. Velleman are recommended as effective resources for learning proofs.

PREREQUISITES
  • Familiarity with basic mathematical concepts
  • Understanding of mathematical proofs
  • Knowledge of set theory fundamentals
  • Ability to engage with academic texts
NEXT STEPS
  • Explore "Naive Set Theory" by Paul Halmos for an introductory perspective
  • Study "Axiomatic Set Theory" by Patrick Suppes for a rigorous approach
  • Read "Book of Proof" by Richard Hammack to enhance proof-writing skills
  • Investigate "Theory of Sets" by Hrbacek and Jech for advanced topics in set theory
USEFUL FOR

Students of mathematics, educators teaching set theory, and anyone interested in deepening their understanding of mathematical proofs and set theory concepts.

UncertaintyAjay
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Could anyone recommend some good books on set theory?
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
Naive Set Theory by Halmos. :)
 
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Thanks, I'll check it out
 
how about Axiomatic Set Theory by Suppes or Theory of Sets by Kamke. only the one by suppes has problems though.
 
Hrbacek and Jech is very good, and covers a lot of stuff. But if you only want the basics, a book on proofs may be sufficient, for example "Book of proof" by Richard Hammack or "How to prove it" by Velleman. (I know that the former is good, and there's a free online version if you want to check it out. I'm not familiar with the latter, but it seems to be very popular).
 
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Nah, I want somwething that is pretty rigorous. And I'll check out the one with the problems, I find that they help me know if I've understood the content. Thanks very much
 

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