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Updated: May 6, 2025
Spottiswoode, asking his advice as to the books that would be of use, and he sent me Serret's "Cours d'Algèbre Supérieure," Salmon's "Higher Algebra," and Tait on "Quaternions;" so now I got exactly what I wanted, and I am very busy for a few hours every morning; delighted to have an occupation so entirely to my mind. I thank God that my intellect is still unimpaired.
When I should have been looking after my quaternions, I was doing something else, something not so useful to one who would be a mathematician, but perhaps more useful to a writer who had already learnt enough to count the words in an article and to estimate the number of guineas due to him.
"To-morrow will be the fifteenth birthday of the Quaternions. They started into life full-grown on the 16th October, 1843, as I was walking with Lady Hamilton to Dublin, and came up to Brougham Bridge which my boys have since called Quaternion Bridge.
It was ten years after the discovery that the great volume appeared under the title of "Lectures on Quaternions," Dublin, 1853. The reception of this work by the scientific world was such as might have been expected from the extraordinary reputation of its author, and the novelty and importance of the new calculus.
It will be quieter than at the club. May 24th. Something has happened. Something fantastic, inconceivable. I am in a condition to be surprised at nothing. If a witch on a broomstick rode in through my open window and lectured me on quaternions, I should accept her visit as a normal occurrence.
The third, and not the least, was that Christmas was coming, and he did not see how in the world he was to make a Christmas out of nothing for Newton, seeing that a thirteen-year-old boy wants everything under the sun to cheer him up when he has no brothers and sisters, and school is closed for the holidays, and his mother is away from home, and there is nobody but a dear old tiresome father who has his nose over a lathe all day long unless he is blinding himself with calculating quaternions for some reason that no lad, and very few men, can possibly understand.
Of much more attractive order is the comparatively short poem, one of the series of quaternions in which she seems to have delighted.
Especially did the subject attract the attention of that accomplished mathematician, Moebius, who had already in his "Barycentrische Calculus" been led to conceptions which bore more affinity to Quaternions than could be found in the writings of any other mathematician.
One cannot help feeling that he might have dropped in upon us from some remote centre of spiritual life, where, instead of addition and subtraction, children were taught quaternions, and where the fourth dimension of space was as familiarly known to everybody as a foot-measure or a yard-stick is to us.
One cannot help feeling that he might have dropped in upon us from some remote centre of spiritual life, where, instead of addition and subtraction, children were taught quaternions, and where the fourth dimension of space was as familiarly known to everybody as a foot-measure or a yard-stick is to us.
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