I am interested in seeking out a reference for learning Persistence Homology (more of the theoretical mathematical aspects rather than the applications/ computer science aspects).
Currently, the two books I have attempted to read:
- Elementary Applied Topology by R. Ghrist (Not very elementary at all)
- Computational Topology - An Introduction by Herbert Edelsbrunner (also not an easy read)
One issue I faced reading the above two books is that the format of the books is like a story or "novel", rather than the theorem/proof style which is more organized. Also, the level of the books are quite difficult (despite the words "elementary" and "introduction").
Does anyone know a more gentle introduction to the subject of persistent homology? Ideally a self-contained book would be good.
Thanks a lot.