1.1 The Continuum of Numbers

1.6.6 The number p as a limit

1.7 The Concept of Limit where the V

1.8 The Concept of Continuity

1.8.1 Definitions

1.8.2 Points of Discontinuity

1.8.3 Theorems on Continuous Functions

2. The Concept of Function

Appendix I to Chapter I

A1.1 The Principle of the Point of Accumulation and its Applications

A1.1.1 The Principle of the Point of Accumulation

A1.1.2. Limits of Sequences

A1.1.3 Proof of Cauchy's Convergence Test

1.3 More Detailed Study of the Elementary Functions

A1.1.4 The Existence of Limits of Bounded Monotonic Sequences:

A1.1.5 Upper and Lower Points of Accumulation; Upper and Lower Bounds of a Set of Numberse of Limits of Bounded Monotonic Sequences

A1.2 Theorems on Continuous Functions

A1.2.1. Greatest and Least Values of Continuous functions

A1.2.2 The Uniformity of Continuity

1.4 Functions of an Integral variable. Sequences of Numbers
Examples: 1.4.1, 1.4.2, 1.4.3, 1.4.4

A1.2.3 The Intermediate Value Theorem

1. 5 The Concept of the Limit of a Sequence
Examples: 1.5.1, 1.5.2, 1.5.3, 1.5.4, 1.5.5, 1.5.6, 1.5.7, 1.5.8, 1.5.9, 1.5.10

A1.2.4 The Inverse of a Continuous Monotonic Function

1.6 Further Discussion of the Concept of Limit

A1.3 Some Remarks on the Elementary Functions

Appendix II to Chapter I

A2.1 Polar Co-ordinates