Contents
1 Real Numbers
 1.1 Axioms of an Ordered field
 1.2 Arithmetic Operations in a Field
 1.3 Inequalities in an Ordered Field. Absolute Values
 1.4 Problems on Arithmetic Operations and Inequalities in a Field
 1.5 Natural Numbers. Induction
 1.6 Problems on Natural Numbers and Induction
2 Sequences
 2.1 Limits of Sequences
 2.2 Squeeze Theorem
 2.3 Comparison Rules
 2.4 Subsequences
 2.5 Appendix