I donno if you are still looking for advice on books. The S5XXX series is pretty good when it comes to learning manual controls before stepping into D-SLR photography.
1) You should check out “Understand Exposure” by Bryan Paterson its a great book on SLR photography but you can use a lot of stuff on a S5600.
2) I think Fujifilm does support RAW and if you have Photoshop CS2/CS3 you should check out “Adobe Photoshop CS2 for Digital Photographers” by Scott Kelby. This is a simple how-to book for many features of PS but you might need to convert the FujiRAW to PSD or TIFF before processing ( I am not sure if Camera RAW supports Fuji…or you could try Irfan View and convert it to TIFF and process further in CS2/3)