I might recommend reading "Kanban from the Inside" by Mike Burrows. Where "Kanban in Action" is a very practical explanation, "Kanban from the Inside" focuses on the core values.

Afterward, assuming you have the basics of Kanban under your belt, I would recommend reading "Kanban Maturity Model" by David J. Anderson and Teodora Bozheva. It goes into great detail on specific Kanban practices, but it's hard to recommend this book unless you already have a good grasp of the basic concepts.