Holistic Mathematics was my computational math book project. Counting the transitive subgroups of S_n was the last result and the last chapter of volume 4 which most closely resembled a conventional math result. I noticed many years ago that most mathematicians, be they good or mediocre, worked on problems that were somehow "sanctioned" as important by other, presumably better, mathematicians, and this always struck me as a shame.
I asked myself, what if someone (me) just said to themselves, "I'm just going to start investigating a random problem and see where it leads." The rough goal was to start with a grammar school level question and end up with graduate school level questions, stopping to smell the roses along the way. I was also hoping to illustrate one approach to how one can learn, teach, and do research in mathematics. Finally, I wanted to discuss some of the many problems I perceived in math education and address much of the phony baloney performative diversity efforts in academe in general and especially in mathematics. Obviously, I kept these polemics out of the transitive subgroup paper below.
Anyone who knows me knows I love Mathematica. The Wolfram cloud environment was my first cloud environment and it is an awesome place to explore mathematics or whatever else you find interesting. Volumes 1 and 2 are in the Wolfram notebook archive as cloud objects. Volumes 1-4 of Holistic Mathematics are available below as pdf files but I never got around to cleaning up volumes 3 and 4 for the cloud unfortunately. Update: I have updated the pdf files with page breaks more appropriate for a pdf. The previous versions were orignally optimized for cloud deployment and then directly converted to pdf's which doesn't look great.
https://notebookarchive.org/holistic-mathematics-vol-1--2021-01-5kgfmyo/
https://notebookarchive.org/holistic-mathematics-vol-2--2021-02-5k5j0pk/
Links to pdf versions of all 4 volumes and the final result.