http://mathdl.maa.org/mathDL/19/?pa=content&sa=viewDocument&nodeId=959The MAA's Basic Library List is a list of books recommended by the Association for purchase by college and university libraries. Books that are part of the BLL have that fact indicated in search results and on their "book details" page. The Advanced Search engine allows you to restrict your search to books that are in the BLL, and that is the primary way to access the list.
The original version of the BLL consisted of two small lists of books that the Association recommended for libraries in two-year and four-year colleges. This evolved, after much work by a large number of people, into a book: Library Recommendations for Undergraduate Mathematics, edited by Lynn Steen and published in 1991 as an MAA Report. The list was organized into fields and included ratings: books could just be listed or could receive from one to three stars. Books listed without stars were books that libraries should consider for acquisition. Titles with three stars were considered essential books that should be in every mathematics library.
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Parents and students looking for math books that mathematicians approve of could look at this list.