_the former as enabling us to treat of classes of quantities where We 
: - place of a primary proposition. We venture to say that there will 
298 Bibliography. 
eh 
BrstiogRaruy. 
1. A Treatise on Algebra; by Exias Loomts, A. M., Peston @ ie 
Mathematics and Natural Philosophy in the University of the City of Ne 
York, Member of the American Philosophical Society, of the Americar 
Academy of Arts and Sciences, &c. Harper & Brothers. 1846. 
se aimed at exhibiting the first principles of Algebra in a form which, : 
while level with. the eapacities of ordinary students and the present — 
state of the science, is fitted to elicit that degree of effort which edu- — 
eational purposes require. We think he has been generally success- — 
ful, and that the intrinsic merit of the work will concur with his official _ 
situation in securing to it the favorable attention of teachers. — ay 
designed for general use as a text-book. We have not found entire 
freedom from errors of the press, and it would be unr e to ex- 
pect it. Throughout the work, whenever it can be pee with advan- 
tage, the practice is followed of generalizing particular examples, or 
of extending a question proposed relative to a particular quantity, to 
the class of quantities to which it belongs: a practice of art = 
ty as accustoming the student to pass from the particular to the e 
the tendency to which constitutes the basis of the philosophic me ra { 
of all enlarged useful action,—and also as fitted to impress a main dis 
tinction between the Literal and Numeral Calculus, the superiority of 
should otherwise be compelled to confine our view to individuals, and 
the immense assistance afforded by mere notation to the operations 
the human intellect. 'The General Doctrine of Equations is expound 
ed-with clearness, and, we may add, with independence. . The author 
has developed this subject in an order of his own; theorems which 
find a place in other treatises are omitted, and what sometimes appears 
ina generic form or in that of a corollary, becomes specific or assumes 
but one opinion respecting the general character of the exposition. 
Bes The Horticulturist ; by Ak: Downinc.—The first number 
. : i on. Your tab re 
=e It is et 
