Advanced Algebra (Classic Reprint)

Excerpt from Advanced Algebra

This text contains essentially the material of the chapters on Algebra in the author's Advanced Algebra and Trigonometry. Some matter has been added and some, deleted, the form of presentation has been altered in a number of places, many of the exercises have been changed, and all the figures have been te drawn.

The first chapter and portions of the next three chapters are reviews of elementary algebra and are intended to make a close connection with the work of the high school. The preparation of the students in the average freshman class varies so greatly that such reviews are almost indispensable to establish a common basis for further progress.

Graphic methods are introduced early and freely used. This is done both for the immediate utility of these methods and to serve as an introduction to Analytical Geometry.

Numerous simple applications are contained in the exercises and problems, which will serve to establish some connection between theory and practice. Logarithms are introduced in Chapter III, so as to make this method of computation available, early in the course, for the numerical valuation of unknowns from given data.

It is hoped that in the presentation of the theory the require ments of rigor are met satisfactorily so far as that can be done in an elementary course. No effort is made to prove everything, but that which is not proved is clearly pointed out and included in the definitions or assumptions, or excluded from the range of application of the theory.

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