The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics….

Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don't know what it means. But we have proved it, and th….

Of possible quadruple algebras the one that had seemed to him by far the most beautiful and remarkable was practically identical with quaternions, an….

Mathematics is the science which draws necessary conclusions..

What is man? ... What a strange union of matter and mind! A machine for converting material into spiritual force..

There are many cases of these algebras which may obviously be combined into natural classes, but the consideration of this portion of the subject wil….

The object of geometry in all its measuring and computing, is to ascertain with exactness the plan of the great Geometer, to penetrate the veil of ma….

Gentlemen, as we study the universe we see everywhere the most tremendous manifestations of force. In our own experience we know of but one source of….

I presume that to the uninitiated the formulae will appear cold and cheerless; but let it be remembered that, like other mathematical formulae, they ….