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
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.
(16787 views)
Sets, Groups and Knotsby 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.
(11714 views)
Abstract Set Theoryby 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.
(16165 views)
Elementary Set Theory with a Universal Setby Randall Holmes
From the table of contents: The Set Concept; Boolean Operations on Sets; Building Finite Structures; The Theory of Relations; Sentences and Sets; Stratified Comprehension; Philosophical Interlude; Equivalence and Order; Introducing Functions; etc.
(14881 views)