Book series in bibliography?
It is generally quite difficult to provide too much bibliographic information, and this is no exception: while few will notice or care about the additional information, it will certainly do no harm.

As for how to format it: that depends on the publication venue.  Every publication style, however, has a standardized form for books that are part of a series (intended for those books where the series is important bibliographic information) and you simply need to comply with that standard.