Linked to openjournals/jose-reviews#58 .
This relates to https://github.com/albi3ro/M4/blob/master/Numerics/Roots_1D.ipynb .
The top of the notebook emphasises (correctly IMO) the importance of graphing the function. However, there's no pictorial examples until quite late: this makes the Multiplicity section not so easy to understand. In addition, there's no comment on what happens with multiple roots.
Suggest that the functions are introduced and plotted earlier, and that functions with multiple roots are also discussed. On the range you're using I'd suggest cos(2*pi*x)-0.4*x which has around 10 roots between -5 and 5.
Linked to openjournals/jose-reviews#58 .
This relates to https://github.com/albi3ro/M4/blob/master/Numerics/Roots_1D.ipynb .
The top of the notebook emphasises (correctly IMO) the importance of graphing the function. However, there's no pictorial examples until quite late: this makes the Multiplicity section not so easy to understand. In addition, there's no comment on what happens with multiple roots.
Suggest that the functions are introduced and plotted earlier, and that functions with multiple roots are also discussed. On the range you're using I'd suggest
cos(2*pi*x)-0.4*xwhich has around 10 roots between -5 and 5.