Axiomatic Set Theory
by Michael Meyling
2011
Number of pages: 36
Description:
This document contains the mathematical foundation of set theory. Goal is the presentation of elementary results which are needed in other mathematical disciplines. Although the presentation is axiomatic the results shall match the mathematical usage.
Download or read it online for free here:
Download link
(340KB, PDF)
Similar books
Proof, Sets, and Logicby M. Randall Holmes - Boise State University
This textbook is intended to communicate something about proof, sets, and logic. It is about the foundations of mathematics, a subject which results when mathematicians examine the subject matter and the practice of their own subject very carefully.
(16933 views)
Axiomatic Set Theory Iby A. C. Walczak-Typke
From the table of contents: Learning to Speak; The Axioms of Set Theory; Orders and Ordinals; Cardinal Numbers; The Axiom of Regularity; Some Consistency Results; Goedel's Constructible Universe L; Independence of AC from ZFU; Forcing.
(11260 views)
An Introduction to Set Theoryby William A. R. Weiss - University of Toronto
These notes for a graduate course in set theory 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.
(21481 views)
Sets, Relations, Functionsby 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.
(20438 views)