# Foundations Introduction to Set Theory by Hrbacek and Jech

## For those who have used this book

100.0%

0 vote(s)
0.0%

0 vote(s)
0.0%
4. ### Strongly don't Recommend

0 vote(s)
0.0%
1. Jan 28, 2013

### micromass

Table of Contents:
Code (Text):

[LIST]
[*] Preface
[*] Sets
[LIST]
[*] Introduction to Sets
[*] Properties
[*] The Axioms
[*] Elementary Operations on gets
[/LIST]
[*] Relations, Functions, and Orderings
[LIST]
[*] Ordered Pairs
[*] Relations
[*] Functions
[*] Equivalences and Partitions
[*] Orderings
[/LIST]
[*] Natural Numbers
[LIST]
[*] Introduction to Natural Numbers
[*] Properties of Natural Numbers
[*] The Recursion Theorem
[*] Arithmetic of Natural Numbers
[*] Operations and Structures
[/LIST]
[*] Finite, Countable, and Uncountable Sets
[LIST]
[*] Cardinality of gets
[*] Finite Sets
[*] Countable gets
[*] Linear Orderings
[*] Complete Linear Orderings
[*] Uncountable gets
[/LIST]
[*] Cardinal Numbers
[LIST]
[*] Cardinal Arithmetic
[*] The Cardinality of the Continuum
[/LIST]
[*] Ordinal Numbers
[LIST]
[*] Well-Ordered Sets
[*] Ordinal Numbers
[*] The Axiom of Replacement
[*] Transfinite Induction and Recursion
[*] Ordinal Arithmetic
[*] The Normal Form
[/LIST]
[*] Alephs
[LIST]
[*] Initial Ordinals
[*] Addition and Multiplication of Alephs
[/LIST]
[*] The Axiom of Choice
[LIST]
[*] The Axiom of Choice and its Equivalents
[*] The Use of the Axiom of Choice in Mathematics
[/LIST]
[*] Arithmetic of Cardinal Numbers
[LIST]
[*] Infinite Sums and Products of Cardinal Numbers
[*] Regular and Singular Cardinals
[*] Exponentiation of Cardinals
[/LIST]
[*] Sets of Real Numbers
[LIST]
[*] Integers and Rational Numbers
[*] Real Numbers
[*] Topology of the Real Line
[*] Sets of Real Numbers
[*] Borel Sets
[/LIST]
[*] Filters and Ultrafilters
[LIST]
[*] Filters and Ideals
[*] Ultrafilters
[*] Closed Unbounded and Stationary Sets
[*] Silver's Theorem
[/LIST]
[*] Comblnatorial Set Theory
[LIST]
[*] Ramsey's Theorems
[*] Partition Calculus for Uncountable Cardinals
[*] Trees
[*] Suslin's Problem
[*] Combinatorial Principles
[/LIST]
[*] Large Cardinals
[LIST]
[*] The Measure Problem
[*] Large Cardinals
[/LIST]
[*] The Axiom of Foundation
[LIST]
[*] Well-Founded Relations
[*] Well-Founded Set
[*] Non-Well-Founded Sets
[/LIST]
[*] The Axiomatic Set Theory
[LIST]
[*] The Zermelo-Praenkel Set Theory With Choice
[*] Consistency and Independence
[*] The Universe of Set Theory
[/LIST]
[*] Bibliography
[*] Index
[/LIST]

Last edited by a moderator: May 6, 2017
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Threads - Introduction Theory Hrbacek Date
Number Theory Is Introduction to Theory of Numbers by Hardy good ? Sep 26, 2016
Relativity Introduction to Field Theory Aug 22, 2016
Number Theory Concise Introduction Book to Number Theory? Apr 21, 2016
Prob/Stats Introduction to statistics and number theory books Jan 27, 2015
Introductions to number theory Nov 2, 2014