If you want top grades and thorough understanding of set theory and related topics, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 530 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) This new edition features improved problems in the ordinals, cardinals, and transfinite series chapters, plus new coverage of real numbers and integers.
I bought this book as complement to this other book https://www.goodreads.com/book/show/2... while studying an undergraduate degree in Maths. The books is OK in terms of exercises, but I don't perceive it is very clear in terms of exposing the theory. Also, the book has too many typos and errors and it is poorly edited. It is difficult to visually separate what are examples vs theorems. Not quite recommended as an introduction to Set theory (although in terms of exercises it may help to people studying it
This little book is a diamond in the rough. Forget the ridiculous outline series format. (Contractual obligation?) There is a clear and clean development of basic set theory, pre-axiomatization/s. There are far too many superficial and repetitious problems and exercises ( see the above comment ) but the development in the text is precise and rigorous and finishes off with some decent proofs of basic results such as the Schroder Bernstein theorem and the equivalence of the Axiom Of Choice, Well Ordering Theorem and Zorn's lemma. The one important point that he skips is that though you can use AC to prove the principle of transfinite induction as he does you don't need to. This is like using a tank to crack an egg.
Really clear introduction to set theory, with exercices and answers. A lot of subjects are explained: set theory, lattices and their connections with boolean algebras. However the book suffers from several shortcomings: a lot of typo or errors are contained in the answers and they are either relatively easy or too hard (proving a theorem without any guidances). ZFC axioms are not introduced but this is fine for an introduction. Nonetheless a good introduction for those who don't major in math because of its clarity and cheap price.