Abstract Set Theory
by Thoralf A. Skolem
Publisher: University of Notre Dame 1962
Number of pages: 70
The book contains a series of lectures on abstract set theory given at the University of Notre Dame during the Fall Semester 1957-58. After some historical remarks the chief ideas of Cantor's theory, now usually called the naive set theory, are explained. Then the axiomatic theory of Zermelo-Fraenkel is developed and some critical remarks added.
Home page url
Download or read it online for free here:
(multiple PDF files)
by Yiannis N. Moschovakis - American Mathematical Society
This monograph develops Descriptive Set Theory from its classical roots to the modern 'effective' theory. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results established since the 1980s.
by Ivo Düntsch, Günther Gediga - Methodos Publishers (UK)
Introduction to the set theoretic tools for anyone who comes into contact with modern Mathematics. The intended audience are students of any subject or practitioners who need some knowledge of set operations and related topics.
by Curtis T. McMullen - Harvard University
Introduction to conceptual and axiomatic mathematics, the writing of proofs, mathematical culture, with sets, groups and knots as topics. From the table of contents: Introduction; Set Theory; Group Theory; Knot Theory; Summary.
by Gary Hardegree - UMass Amherst
From the table of contents: Basic material on set theory - Overview / Summary, Basic Concepts, Relations, Functions, Natural Numbers, Cardinal Numbers; Rules for Derivations; Formal Languages; Mathematical Induction; Brief History of Numeration.