[Cybiote]

I agree it's a wonderful resource. Which is exactly why I disagree with your suggestion. The book is uncommonly clear in how it explains fundamentals and bringing in such a powerful library ends up moving quite a bit away from that. It will no longer be just about the fundamentals of Julia on one hand and on the other, the algorithms will no longer be implementing language invariant. Losing that invariance IMO makes it less of a text on fundamentals.

[ChrisRackauckas]

I would say calling an ODE solver is pretty fundamental to a lot of real scientific workflows, but I am pretty biased on that.

[iamcreasy]

I do not remember using much calculus other than usign it to pass the college courses. Can you point me to some resources that would teach me how to use calculus(or ODE if that's more interesting) to solve interesting problems?