Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. IN this treatise it is my aim to give the elements of Deter minants and the Theory of Equations in a form suitable, both in amount and quality of matter, for use in the undergraduate courses in our colleges and universities. To this end I have endeavored to make the work in every part readily intelligible to the average student who has become proficient in algebra and the elements of trigonometry. All use of the calculus has purposely been avoided. While the presentation of the sub jcet has necessarily been condensed to suit the requirements of college courses, great pains has been taken not to sacrifice clearness to brevity. It is a short treatise, but not a syllabus. Part I treats of Determinants. The first two chapters give the fundamental theorems, with examples for illustration. The third chapter consists' of applications and special forms of determinants, followed by a collection of carefully selected examples. These three chapters on determinants should serve es a helpful introduction to the study of this interesting class of functions.

IN this treatise it is my aim to give the elements of Deter minants and the Theory of Equations in a form suitable, both in amount and quality of matter, for use in the undergraduate courses in our colleges and universities. To this end I have endeavored to make the work in every part readily intelligible to the average student who has become proficient in algebra and the elements of trigonometry. All use of the calculus has purposely been avoided. While the presentation of the sub jcet has necessarily been condensed to suit the requirements of college courses, great pains has been taken not to sacrifice clearness to brevity. It is a short treatise, but not a syllabus. Part I treats of Determinants. The first two chapters give the fundamental theorems, with examples for illustration. The third chapter consists' of applications and special forms of determinants, followed by a collection of carefully selected examples. These three chapters on determinants should serve es a helpful introduction to the study of this interesting class of functions.