I'm trying to learn more about survival analysis and I could really use some suggestions for good texts on the topic. I have a fairly strong background in applied statistical analyses (quantitative psychology specifically), but survival analysis is a bit of a weak spot for me. Ideally I'm looking for a text that covers the topic with a good deal of depth (and particularly covers issues of interval censoring/left censoring), but isn't overly technical (e.g., Casella and Berger type texts would be "overly technical").
A graduate level text along the lines of "Statistical Rethinking" in terms of complexity and depth would be perfect. Applied examples certainly do not need to be psychological. It would be fantastic if the book used R, but again, not necessary. All that said, any suggestions would be appreciated.