Excerpt from College Algebra: With Applications
In Chapter I of the present book, the number system of algebra, up to and including the system of complex numbers, is developed in a concrete and convincing way by means of the geometry of directed line-segments or vectors. No student will feel any doubt concerning the legitimacy of complex numbers, after mastering this chapter, unless his suspicions have been previously aroused in his first course in algebra. In a sense, Chapter I may be regarded as devoted to the foundations of algebra. It is not, however, a chapter on foundations in the formal technical sense in which that word is being used at the present time.
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