Book series in bibliography? At one time I tried to be able to remember obscure journal abbreviations and the like, but recently I started favouring more bulky bibliography entries.

So I started wondering if it might be useful to include series and volume number of a book, e.g. Graduate Texts in Mathematics (GTM). Sometimes library shelves, book stores, publisher's sites, etc. are ordered by book series and often it helps to know the series and number to track down a book. Traditionally, the bibliography information for a book would be


  Takeuti, G. &amp; Zaring, W.M., Introduction to Axiomatic Set Theory, Berlin: Springer, 1981.


with the title of the book in italics. But then journal names are also in italics, which could mean that book series should be as well (after all, some book series even have ISSN numbers, so how different are they really?). But then there is not really enough contrast between the book title and the series...


  Takeuti, G. &amp; Zaring, W.M., Introduction to Axiomatic Set Theory, Graduate Texts in Mathematics, 1, Berlin: Springer, 1981.


My questions are


Would it be good to include book series in a bibliography? If yes:
How should I style the book title and the book series?


(As apparent from the example book, my field is mathematics.)
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.