Can someone recommend a good Set Theory textbook?

In summary, the conversation discusses the search for a comprehensive and thorough set theory textbook that covers a lot of content and provides exercises. The person mentions the textbook "The Joy of Sets" and recommends some other options such as "Introduction to Set Theory" by Karel Hrbacek and Thomas Jech, "Classic Set Theory" by Derek Goldrei, and "Naive Set Theory" by Paul Halmos. They also mention that there is a companion exercise book for the Jech textbook.
  • #1
Aciexz
5
0
Ideally covers lots of content in depth with lots of exercises and doesn't skip anything in hardcover. The only bit of set theory I know is the most very basic that would occupy the first chapter in a book that would require it. Self study, very motivated. :) Thanks!
 
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  • #3
Searching Amazon for set theory, I found what seems to be a good list. I haven't read any of these books, but all the reviews are excellent.

Introduction to Set Theory by Karel Hrbacek and Thomas Jech
https://www.amazon.com/dp/0824779150/?tag=pfamazon01-20
http://books.google.com/books?id=Er...as+jech+jech&ei=JCjWSafoHojINc_r0JEP#PPP1,M1"
This seems like the best introduction, but I haven't looked through any of these thoroughly. Jech has also written another book on set theory. The reviews mention a companion exercise book, Exercises in Set Theory by Sigler.

Classic Set Theory: For Guided Independent Study by Derek Goldrei
https://www.amazon.com/dp/0412606100/?tag=pfamazon01-20
http://books.google.com/books?id=1d...c+Set+Theory+goldrei&ei=aSbWSZ2kKqTYMP3A4OEC"

The classic is suppose to be Naive Set Theory by Paul Halmos.
https://www.amazon.com/dp/0387900926/?tag=pfamazon01-20
http://books.google.com/books?id=x6...&dq=naive+set+theory&ei=nCrWSZvSBZqwMqSM6YED"
 
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1. What is Set Theory?

Set Theory is a branch of mathematics that studies the properties and relationships of sets, which are collections of objects. It is a fundamental theory in mathematics that has applications in various fields such as computer science, physics, and economics.

2. Why is it important to study Set Theory?

Set Theory is important because it provides a foundation for all of mathematics. It helps to define and organize different mathematical concepts and structures, and it allows mathematicians to prove theorems and solve problems using logical reasoning.

3. What are some recommended Set Theory textbooks?

Some commonly recommended Set Theory textbooks include "Introduction to Set Theory" by Jech, "Naive Set Theory" by Halmos, and "Elements of Set Theory" by Enderton. These textbooks cover the fundamentals of Set Theory and are suitable for both beginners and advanced students.

4. How can I choose the right Set Theory textbook?

When choosing a Set Theory textbook, it is important to consider your level of mathematical background, your learning style, and your specific interests in the subject. You may also want to read reviews or ask for recommendations from professors or fellow students.

5. Is there any online resource for learning Set Theory?

Yes, there are several online resources for learning Set Theory, including video lectures, interactive tutorials, and online textbooks. Some recommended websites include Khan Academy, MIT OpenCourseWare, and Coursera. These resources can be a helpful supplement to traditional textbooks and can provide a more interactive learning experience.

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