ESSAY-REVIEWS 425 



than that given by Sir Thomas Muir, as it contains no less than 

 1 82 entries : some of these, however, relate to the same periodical ; 

 ihe Berlin Academy, for example, occupies five sections num- 

 bered from 57 to 61 with the varying titles, French and German, 

 under which it has been published. The list is arranged accord- 

 ing to countries. It may be of interest to enumerate the 

 countries and the number of entries under each country : 

 Austria, 5 ; Belgium, 2 ; Denmark, 6 ; France, 28 ; Germany, 

 39 ; Holland, 7 ; Hungary, 3 ; India, 3 ; Italy, 25 ; Japan, 2 ; 

 Norway, 3 ; Poland, 4 ; Portugal, 4 ; Roumania, 1 ; Russia, 

 11 ; Spain, 1 ; Sweden, 14; United Kingdom, 14; America, 

 6 ; and unclassified, 2. Information was obtained from 49 

 libraries concerning the series of these 182 journals in their 

 possession. Each library is indicated by an appropriate 

 abbreviation, thus L.L. is the London Library, Q.B. is Queen's 

 College, Belfast, C.P.S. is the Cambridge Philosophical Society. 

 Each journal is described briefly by format, place of publication, 

 and a short general history, where necessary ; appended to 

 each entry is a list of libraries which possess the journal and 

 the exact holding of each, even in one instance a note is 

 added (" willing to give away ") — an offer which now probably 

 may be omitted. Thus as a specimen we may take the entry 

 which covers the great French mathematical journal : 



FRANCE. 



16 Annales de Mathematiques pures et appliquees. Recueil periodique, 



redige par J. D. Gergonne et J. E. Thomas-Lavernede. 1810-1831, 

 vols. 1-22, No. 2. 4° Nismes and Paris. 



Aber. 1S10-1831. Brist. 1810-1831. Man. L. &* P. 1830-1831. P.S. 

 1810-1831. U.C.L. 1810-1831. 



{Continued as) 



17 Journal de Mathematiques pures et appliquees, ou recueil mensuel de 



memoires sur les diverses parties des mathematiques. Publie par J. 



Liouville (H. Resal, C. Jordan). 1836-* 4 Paris. 



Aber. 1836-* Arm. 1905-* (ser. i.-v. wanting). Birm. 1836-* B.M. 



1836-^ Bod. 1856-* Brist. 1836^ Cardiff 1836-* C.U. 1836-* Liv. 



1836-^ (5 e ser. vol. 9, iii-iv. ; vol. 10, iii. 6 e ser. vol. 2, i. wanting). 



Man. iS75-> Man. L. & P. 1852, and tables of vols, r— 15. Pet. 2 e ser. 1, 



1856-3' ser. 9, 1883. R.S. 1836-* R.S.E. 1837-5. St. A. 1836-* S.K. 



1836-* T.C.C. 1836-* T.C.D. 1836^ U.C.L. 1836^ 



This extract shows better than any explanation the nature 



of this Catalogue. Any mathematician who wishes to consult 



a paper in Liouville will know at once the libra^ in which he 



is sure to find it. If he resides in London, for instance, he will 



28 



