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The collections of the library have approximately 35,000 books. The most represented areas are mostly mathematics -- with the exception of financial mathematics and combinatorics -  and theoretical physics. The History of science is predominantly concerned with the mathematical and physical sciences, especially in the 19th and 20th centuries.        

A reading committee composed of fifteen scientists selected by the Director of the IHP, each representing an area of mathematics, theoretical physics or history of Science, meets once a year to set a policy of acquisition and to review the list of subscriptions. Donations represent a significant fraction of acquired books. Donations are always accepted, provided they correspond to the thematic scope of the Library collections.

Donations of books that are already owned by the library are redistributed to other mathematical libraries, after agreement with the donors. Make a donation ?

Suggestions for acquisitions are always welcome. A book of suggestions for acquisitions is available to readers at the library reception. It is also possible to send suggestions via email from the website.

Organizers of Centre Emile Borel programs are requested by the library to provide in advance lists of books for the sessions, and these are acquired if they are not already in the library .