## quaternions

Noun

- plural form of
*quaternion*

- His earliest work dealt mainly with mathematical subjects, and especially with
**quaternions**(q.v.), of which he may be regarded as the leading exponent after their originator, Hamilton. - He was the author of two text-books on them - one an Elementary Treatise on
**Quaternions**(1867), written with the advice of Hamilton, though not published till after his death, and the other an Introduction to**Quaternions**(1873), in which he was aided by Professor Philip Kelland (1808-1879), who had been one of his teachers at Edinburgh. - In addition,
**quaternions**was one of the themes of his address as president of the mathematical section of the British Association in 1871. - Among his articles may be mentioned those which he wrote for the ninth edition of this Encyclopaedia on Light, Mechanics,
**Quaternions**, Radiation and Thermodynamics, besides the biographical notices of Hamilton and Clerk Maxwell. - Under the general heading "Fundamental Notions" occur the subheadings "Foundations of Arithmetic," with the topics rational, irrational and transcendental numbers, and aggregates; "Universal Algebra," with the topics complex numbers,
**quaternions**, ausdehnungslehre, vector analysis, matrices, and algebra of logic; and "Theory of Groups," with the topics finite and continuous groups.

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