Best Books on Set Theory: Recommendations from MHB Members

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Thread starter Math Amateur
Start date Nov 16, 2017
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Books Set Set theory Theory

In summary, set theory is an important branch of mathematics that deals with the study of collections of objects and provides a foundation for other branches of mathematics. Some recommended books for beginners in set theory include "Introduction to Set Theory" by Karel Hrbacek and Thomas Jech, "Naive Set Theory" by Paul R. Halmos, and "Axiomatic Set Theory" by Patrick Suppes. There are also many books on set theory suitable for self-study, such as "Set Theory: An Introduction to Independence Proofs" by Kenneth Kunen and "A Course in Set Theory" by Ernest Schimmerling. Additionally, there are books on set theory that discuss its applications in other fields, such as computing and

Nov 16, 2017

Math Amateur

Gold Member

MHB

What do MHB members think are the best books at an undergraduate or senior undergraduate level on set theory ...

Further what are the best books on set theory at a graduate level ... ...

Peter

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Nov 17, 2017

Ackbach

Gold Member

MHB

I like Suppes myself.

1. What is set theory and why is it important in mathematics?

Set theory is a branch of mathematics that deals with the study of collections of objects. It provides a foundation for other branches of mathematics, such as calculus and algebra, and is also used in computer science and philosophy. Set theory is important because it provides a rigorous framework for understanding and analyzing mathematical concepts and structures.

2. What are some of the best books on set theory for beginners?

Some recommended books for beginners in set theory include "Introduction to Set Theory" by Karel Hrbacek and Thomas Jech, "Naive Set Theory" by Paul R. Halmos, and "Axiomatic Set Theory" by Patrick Suppes.

3. Are there any books on set theory that are suitable for self-study?

Yes, there are many books on set theory that are suitable for self-study. Some popular options include "Set Theory: An Introduction to Independence Proofs" by Kenneth Kunen, "Set Theory: Techniques and Applications" by Kenneth Kunen and Jerry E. Vaughan, and "A Course in Set Theory" by Ernest Schimmerling.

4. Are there any books on set theory that focus on applications in other fields?

Yes, there are several books on set theory that discuss its applications in other fields, such as "Set Theory for Computing: From Decision Procedures to Logic Programming with Sets" by Marina De Vos and Maurice Bruynooghe, and "Sets and Proofs: A Mathematics Companion" by P.M. Cohn.

5. What are some advanced books on set theory for those with a strong background in mathematics?

For those with a strong background in mathematics, some advanced books on set theory include "Set Theory: An Introduction" by Robert R. Stoll, "Set Theory and the Continuum Hypothesis" by Paul J. Cohen, and "The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings" by Akihiro Kanamori.