An Introduction to Set Theory
by William A. R. Weiss
Publisher: University of Toronto 2008
Number of pages: 119
Description:
These are notes for a graduate course in set theory. They cover the axioms of set theory, the natural numbers, the ordinal numbers, relations and orderings, cardinality, the real numbers, the universe, reflection, elementary submodels, and constructibility.
Download or read it online for free here:
Download link
(PDF/PS/DVI)
Similar books

by Thoralf A. Skolem - University of Notre Dame
The book contains a series of lectures on abstract set theory given at the University of Notre Dame. After some historical remarks the chief ideas of the naive set theory are explained. Then the axiomatic theory of Zermelo-Fraenkel is developed.
(13387 views)

by David Marker - University of Illinois at Chicago
These are informal notes for a course in Descriptive Set Theory. While I hope to give a fairly broad survey of the subject we will be concentrating on problems about group actions, particularly those motivated by Vaught's conjecture.
(9758 views)

by Edward V. Huntington - Dover Publications
This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, it requires no knowledge of higher mathematics.
(11645 views)

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.
(13621 views)