Popular science books introducing therapeutic use of psychedelic drugs I'm not a psychologist nor a psychiatrist, but I have the impression that research of therapeutic use of psychedelic drugs (MDMA, LSD, DMT, etc) is undergoing a revival and is very slowly being accepted by the medical establishment.

Are there introductory books covering this topic which are scientifically credible?
Yes, the psychedelic Renaissance/ third wave (as I've heard it being called) is steadily gaining momentum. I almost feel like mentioning How to Change Your Mind by Michael Pollan here is too obvious, but just to be safe, here's a few links and a cultural review. There is also an exhaustive summary on Trippingly.net!