Excerpt from Fundamental Conceptions of Modern Mathematics: Variables and Quantities; With a Discussion of the General Conception of Functional Relation
As an illustration of the difficulties in the way of acquiring a thorough knowledge of a branch of mathematics, we may mention that Hamilton, assuredly no tyro in Vector Analysis, found the Ausdehnungslehre so obscure that he avowed himself unable to understand Grassmann's system in all its details. And Herschel, in turn, after reading three chapters of Hamilton's Lectures on Quaternions, was obliged to give up in despair his hope of master ing the subject. This was some years ago, but what change has since taken place in methods of mathematical exposition has not been a change for the better.
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