150 ROYAL SOCIETY OF CANADA 
Cartan at the Sorbonne, of Tannery, Borel and Hadamard at the Ecole 
Normale Supérieure, should on no account be neglected. The training 
and grounding they give is simply invaluable. 
If the interests of the student wander into other fields, the oppor- 
tunity for profit is just as great as in the department of mathematics. 
There are the chairs in the Faculté des Sciences, such as physics, chem- 
istry, biology, not to mention those held by other world renowned 
savants in literature, history, philosophy, etc., of the Faculté des 
Lettres. Any matriculated student in the Faculté des Sciences may 
have his name inscribed in this Faculté without further charge. The 
lectures of Reinach, Michel, etc., at the École du Louvre are open to all 
and are of especial appeal to those interested in the various phases of 
art. Indeed, as soon as one leaves special for general study, the riches 
of intellectual treat on every hand lead to embarrassment of choice. 
The book treasures and collections available for the student in 
Paris are unequalled by any other city in the world. Chiefly by co- 
operation of the Société Mathématique de France, the Sorbonne pos- 
sesses a remarkably complete collection of mathematical periodicals. 
The officials of the library are exceedingly helpful and most generous 
to the earnest student; not only do they grant admission to the peri- 
odical section, but, occasionally, the privilege of exploring the general 
stacks as well. Since the catalogue is poor, this facility for the searcher 
is of inestimable value. The librarian is always ready to purchase 
any standard work which is not in the library and which the student 
specially needs. The Bibliothèque Nationale‘ contains nearly all 
mathematical periodicals lacking at the Sorbonne, a tolerably complete 
set of French mathematical publications, as well as a representative 
collection of those of other countries. When the need arises of con- 
sulting older mathematical works, this library or the Bibliothéque 
Mazarine is pretty sure to be able to supply the want. The Bibliothéque 
Sainte Geneviève has, among others, a good collection of elementary 
mathematical books. 
Finally, under what conditions may an American mathematical 
student in Paris proceed to the doctorate? The general question has 
been fully considered in earlier pages, and only a few observations 
remain to be made here. We have remarked that two degrees are 
available, the doctorat d’ état and the doctorat de l’Université de Paris. 
In both cases the candidate must receive permission from the minister 
of public instruction to present a university diploma as an Hquivalence 
de Scolarité of the baccalauréat. In both cases the Thése (which has 

1A card of admission will be granted on presenting a letter from either the 
Canadian Commissioner or the American Consul General. 
