48 Analyses of Books. [January, 
distinguished from its applications in astronomy, in geodesy, or 
in commercial arithmetic. The nearer we approach the present 
day the more he is compelled to restrict himself to mathematics 
in the accurate acceptation of the term. 
The great controversy as to the respective claims of Leibnitz 
and Newton to the priority of the invention of the differential 
calculus is, after a masterly and thorough-going criticism of the 
evidence, decided in favour of the latter. The author remarks, 
commenting upon Gerhardt’s writings, “ They show merely that 
even Germans can fall into that deplorable fault which we are 
accustomed to denounce as one of the chief national vices of the 
French, — unjustly glorifying their own intellectual heroes at the 
cost of those of other nations. 
We regret that space does not allow us to prolong our survey 
of a work which supplies a hitherto well-marked deficiency in the 
history of culture, and which we can recommend as worthy the 
attention not merely of mathematicians. 
Bulletin of the United States Geological and Geographical Survey 
of the Territories. Vol. V., No. 4. 
The volume before us affords fresh proof, if such were 
needed, of the munificence of the Government of the United 
States in producing works of the greatest value to Science, but 
which no private person and no publishing firm could undertake 
in consequence of the loss necessarily involved. 
We have here a book of more than a thousand closely printed 
pages devoted entirely to the bibliography of American ornith- 
ology. Under every family of birds we find a reference to every 
work, journal, &c., in which an account of any species belonging 
to such family is to be found. In the case of the more important 
treatises a short summary is added. 
Concerning the value of the work to ornithologists there can 
be but one opinion. Dr. Elliott Coues has fulfilled the laborious 
duties of compiler. 
