As the title suggests I want to learn more about topological solitons in scalar field theories. I am searching for a resource which is self-contained, in the sense that it also explains the mathematics needed, at least to some extent. It should be a text for physicists. My main goal is to learn about skyrmions, so it would be nice if skyrmions are covered. But this is optional, so if there is a good primer on topological solitons not covering skyrmions this would be fine too.
To be more precise about the "self-containedness" of the source I should maybe give some information about my maths background. I do know linear algebra, calculus and some "group and representation theory" (in the way it is used by physicists, so no in-depth knowledge here). I have very little prior knowledge of topology and almost no formal knowledge about differential geometry (Here also superficial knowledge from physics lectures.).
I do already know the book "Topological and Non-Topological Solitons in Scalar Field Theories" by Y.M. Shnir. This book gives a good overview, but I miss some mathematical details.