Bibliography. 445 
convenient elementary text-book of Algebra: and that it vi be 
ound possible now, to supply these deficiencies in a manner abund- 
antly satisfactory, without altering in any essential point the sniaaiie 
of the work. This fact affords a striking attestation of the skill and 
judgment with which the work was composed ; and proves that it must 
have rie a great advance upon the time in which it first appeared. 
In m the proposed revision, Dr. Day engaged the services of 
Mr. esse. Professor of Mathematics in Yale College. Mr. Stanley, 
however was prevented, by necessary absence in Europe, from going | 
through with the entire re vision. He had completed the chapter on 
imple Equations, when it was thought expedient for his health that he 
should spend some time abroad. He returned, however, before the 
work, which in the mean time was continued by the author, had arrived 
“ its conclusion: and the long and highly important — on the 
theory and resolution of equations are from his pen. would direct 
the ote attention of a and others seaieadapdlan in is subject, 
to this part the revised edition. The most serious deficiency of 
a 
its distinguished merits, was the want of a sufficiently copious and ex- 
ded discussion of the theory of equations. This subject has been 
for some time assuming greater interest and importance in the view of 
teachers, and claiming for itself a larger share of space in the text- 
books, until, perhaps, it has gone a little beyond its proper limits, and 
encroached upon the sete of other subjects. However this may be, 
ties of Equations, and ie Resolution of Equations, containing as t 
do from sixty to seventy pages, furnish all that can with any reason be 
Po in an elementary treatise. These subjects are 
— — — and clearness. It would not 
way into many text- _ of Algebra, and which ° admirably exhibited 
by Professor Stanley, it may be feared that a number in every large 
miscellaneous class of college students would fail. to master thoroughly 
a discussion, whic of necessity so protracted and so abstract; but 
be done by distinct and orderly arrangement, by consistent and per- 
— expression, and by copious illustration. Whatever-difficulties 
may remain, they are not the fault of the writer, but are inherent in 
the he nature of thas 
ould direct aaseaiied also to the section on the Binomial Theo- 
rem. : i the original work, this theorem was merely inferred actor the 
analogy of particular-cases, without any genera This 
deficiency the author has himself supplied in the peeeot alison; with 
is characteristic clearness. _ simplicity. 
_ The doctrine of ——— ons and Combinations has been introduced 
in a brief sketch, as + tippers preliminary to the erated of 
