I tried to get a basic understanding of Riemannian geometry at least half a dozen of times, each time failing miserably because the concepts slip quicker from my mind than i can read up on them. My background is computer-science, especially optimization, machine-learning and statistics and I have taken a few proper math classes (One year of studying math). While i don't have trouble with mathematics per-se, I have problems remembering and relating abstract concepts without proper intuition and practice. As a computer-scientist this often means, that the best way for me to remember a concept, is to implement and visualize it. But this is quite challenging with Riemannian geometry on its own (especially as notation often varies significantly from a computer implementation and numerics are often non-trivial) - and in the books i have found, actually computing things was never a priority.
Does someone have a recommendation of a numerics focused book on Riemannian Geometry that I can read in parallel to the theory books I have and use it to implement some of the things?