4
Rational Numbers and Ordered Fields
Number Systems and the Foundations of Analysis
Preface
1
Basic Facts and Notions of Logic and Set Theory
2
The Natural Numbers
3
The Integers
4
Rational Numbers and Ordered Fields
5
The Real Number System
References
Appendices
A
Equality
B
Finite Sums and the
\(\sum\)
notation
C
Polynomials
D
Finite, Infinite and Denumerable Sets and Cardinal Numbers
E
Axiomatic Set Theory and the Existence of the Peano System
F
Construction of the Real Numbers via Dedeking Cuts
G
Complex Numbers
H
Positional number systems
4
Rational Numbers and Ordered Fields
3
The Integers
5
The Real Number System