The aim of the author of the present work has been to develop the Theory of Determinants in the simplest possible manner. Great care has been taken to introduce the subject in such a way that any reader having an acquaintance with the principles of elementary Algebra can intelligently follow this development from the beginning. The last two chapters must be omitted by the student who is not familiar with the Calculus, and the same is to be said in reference to some few of the preceding articles ; but in no case will the continuity of the course be affected by such omissions.

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