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This article proposes an initiation to \'Ecalle's mould calculus, a powerfulcombinatorial tool which yields surprisingly explicit formulas for thenormalising series attached to an analytic germ of singular vector field. Thisis illustrated on the case of saddle-node singularities, generated bytwo-dimensional vector fields which are formally conjugate to Euler's vectorfield $x^2\frac{\pa}{\pa x}+(x+y)\frac{\pa}{\pa y}$, and for which the formalnormalisation proves to be resurgent in $1/x$.

Initiation to mould calculus through the example of saddle-node singularities