Naive Set Theory
Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.
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Review: Naive Set TheoryUser Review - 'Asem Ismaiel - Goodreads
Good review of concepts but too wordy and abstract, I guess this is what Set theory is all about, though. :D Read full review
Review: Naive Set TheoryUser Review - Scott Kleinpeter - Goodreads
Man, even though I'm hardly disciplined enough to put fuel in my car, I'm still head over heels with rigorous Mathematics and Sets. I just don't know what it is about it. Can you be a theoretical mathematician and make a B in Calc I approximately the third time you took it? Read full review