Notes on Set Theory
by Michael Makkai
Publisher: McGill University 2000
Number of pages: 440
Description:
Contents: Sets and classes; The universe of pure sets; Further principles of set-construction; Natural numbers and ordinals; Well-founded Relations and recursion; Indexing by ordinals and the axiom of choice; Well-orderings; Zorn's lema; Cardinal numbers; Cardinal arithmetic; Regular cardinals; Models of the axioms of set theory; Inaccessible cardinals; The Boole/Stone algebra of sets.
Download or read it online for free here:
Download link 1
Download link 2
Download link 3
(multiple PDF files)
Similar books
Axiomatic Set Theoryby Michael Meyling
This document contains the mathematical foundation of set theory. Goal is the presentation of elementary results which are needed in other disciplines. Although the presentation is axiomatic the results shall match the mathematical usage.
(11417 views)
The Continuum and Other Types of Serial Orderby 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.
(12280 views)
Set Theoryby 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.
(14860 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.
(18985 views)