It's easier to tell the reputation of a journal because we publish journal papers most of the time.How to tell the reputation of the publisher that publishes books? Some publishers reach out to published papers to be published again by them as book chapters in their books. Is this normal?
The easiest way is as follows:
- Go to your preferred library;
- look for available titles from that publisher;
- pick one book dealing with a topic you a have some familiarity;
- judge it for yourself.
Please note: "go to your preferred library" can be the digital version, i.e. checking out ebooks or writing an email to your library asking if they can provide you books from that publisher on a certain topic.
To complement EarlGrey's excellent answer, the answer is in the question itself: to "tell the reputation of the publisher" observe if it "reaches out to published papers to be published again by them as book chapters in their books" --- if the answer is "yes", then it's normally of low reputation.