1 Introduction
2 Mathematics is not only about computing
2.1 Computation and abstraction
2.2 The structure of a mathematical text
2.3 What is a proof?
2.4 A few examples of proofs
2.5 What is not a proof?
3 Basic concepts
4 Elementary functions
5 Analytical geometry
6 Warning
7 List of the used symbols
Index
Bibliography

After passing through high school, students believe that mathematics is nothing but a set of computational procedures (algorithms). But this idea is quite far from reality. The aim of this chapter is to introduce the reader to a more realistic perspective.