Preface

Notation and Terminology

Problems

Chapter 1. Real Numbers

1.1. Supremum and Infimum of Sets of Real Numbers.

Continued Fractions

1.2. Some Elementary Inequalities

Chapter 2. Sequences of Real Numbers

2.1. Monotonic Sequences

2.2. Limits. Properties of Convergent Sequences

2.3. The Toeplitz Transformation, the Stolz Theorem and

their Applications

2.4. Limit Points. Limit Superior and Limit Inferior

2.5. Miscellaneous Problems

Chapter 3. Series of Real Numbers

3.1. Summation of Series