Real Analysis
Lecture Notes
by
Lachlan Dufort-Kennett
Preface
1
Introduction
2
Notions from Set Theory
3
The Real Numbers
3.1
Why do we Need the Real Numbers?
3.2
Construction of the Reals
3.3
Subsets of the Real Line
3.4
Absolute Value
3.5
Inequalities
4
Sequences
5
Series
6
Continuous Functions
7
Differentiation
Chapter 3
The Real Numbers
3.1
Why do we Need the Real Numbers?
3.2
Construction of the Reals
3.3
Subsets of the Real Line
3.4
Absolute Value
3.5
Inequalities