The following summary View of the first principles u. Algebra is intended to be accommodated to the method oi instruction generally adopted in the American colleges. The books which have been published in Great Britain on mathematical subjects, are principally of two classes — One consists of extended treatises, which enter into a thorough investigation of the particular departments which are the objects of their inquiry. Many of these are excellent in their kind; but they are too voluminous for the use of the bod of students in'a college.