A Unified Approach to Hypernumbers

In teaching the subject of tensor analysis, the authors were impressed by two characteristics of the available textbooks: the unnecessary narrowness of the subject, which is confined to quantities that transform in a few special ways, and the vagueness of the presentation, which leaves the student in doubt as to exactly how the quantities are manipulated. The paper attempts to broaden the subject and thus to carry on the pioneer work of Dr. Struik.