This is the most comprehensive book on EEG biofeedback, Neurofeedback, Neurotherapy (all terms for the same basic approach.) It includes chapters by many of the leaders and pioners in the field and is an excellent resource for professionals / practitioners who wish to educate themselves
As organizer of the Winter Brain Meeting-- the world's largest annual conference on EEG biofeedback / neurofeedback, I've recommended this book to many people.
This is not a light read and is probably not something any but the most dedicated layman would enjoy. Jim Robbin's book, Symphony in the Brain is excellent for layman. It's a great book which primarily covers applications related to higher frequency brainwave training, such as ADD, epilepsy, etc.
Neither of the above books get into the more esoteric aspects of biofeedback, which many layman seek out, as "inner" explorers.
For those with that interest, I suggest Anna Wise's High Performance Mind and Elmer Green's, Beyond Biofeedback. My website also offers a lot of free info on applications, courses and meetings on EEG biofeedback and QEEG and you can find out about it in my "about me" section.