A Text-Book on Advanced Algebra and Trigonometry, With Tables (Classic Reprint)

In a considerable number of our colleges and universities the work of the first semester in mathematics is devoted to Algebra and Trigonometry. Usually Algebra is taken up first and then Trigonometry, or else the two subjects are studied on alternate days. Neither plan is quite satisfactory. It has therefore seemed to the writer that a single book, treating both subjects in a correlated manner, might be of service both to student and teacher. In the present text the principal departures from the subject matter usually treated will be found in chapters 13 and 14. The chief aim has been to follow a mode and sequence of presentation which shall introduce the student who needs to apply his knowledge of mathematics in his other work as directly as possible to those facts and concepts which are most useful to him. For this reason much stress is laid on graphic methods in the chapters on linear and quadratic equations, and this is followed up later as opportunity arises. It is thought that the extra time so used will be more than made up when the student begins his study of Analytical Geometry, because he will have become gradually familiar with the fundamental idea of this subject and need not readjust himself after an abrupt transition to a strange and mysterious realm. For a similar reason the basic idea of theD ilT erential Calculus is presented in a study of the derivative, and application is made to some of the simple standard functions. Maclaurin sformula is also obtained, and used to derive several standard expansions, among them the binomial theorem for any exponent. A considerable emphasis has been placed on numerical computation, that the student may have some training in ready calculations. This can be largely supplemented by requiring students to work out mentally in class many of the numerical exercises. It has been thought advisable to include some m
(Typographical errors above are due to OCR software and don't occur in the book.)