CreateSpace Independent Publishing Platform

A Short Course in the Theory of Determinants

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ISBN: 9781502300126
Publisher: CreateSpace Independent Publishing Platform
Publication Date: 2014-09-07
Number of pages: 252
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From the PREFACE:

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.

No attempt has been made to apply the theory to Analytical Geometry, though a few of its more important applications to Algebra have been included. The reader familiar with geometrical analysis will be interested in giving to the greater number of these applications, as also to many of the examples, their geometrical interpretations. The earlier the student, in his mathematical course, is made familiar with the notation and methods of Determinants, the earlier will he be prepared to appreciate the wonderful symmetry and generality so characteristic of the various modern developments in mathematics. In consideration of the limited time available for the study of such topics in the ordinary college course, the attempt has been made to render the book as readable as possible, rather than to prepare a drill book. However, it is hoped that the student who solves the two or three hundred examples proposed may thereby receive valuable mental discipline….

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