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On Algebraical Couples.' Pp. 38-40 in: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. Vol. 27, Third Series, No. 177, July 1845.

CAYLEY, Arthur (1821-1895):

Published by London: Richard and John E. Taylor, 1845., 1845
Condition: Fine Soft cover
From Ted Kottler, Bookseller (Redondo Beach, CA, U.S.A.)

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First Edition. Entire issue offered. Pp. 1-80. Original printed wrappers, 8vo (8.75 x 5.5 inches). Uncut. Near Fine. 'In the spirit of De Morgan, Cayley investigated 'algebraic couples.' In April [1845], he read [John] Graves's Post-Postscript on the eight-square theorem attached to a paper on a theory of 'normal' couples, (symbolic expressions of the form ai + bj). Graves assumed the ordinary algebraic rules of commutivity and associativity to apply to normal couples and excluded 'anomalous' couples but staked out that subject for future work. Cayley's reaction was to submit his own 'On Algebraical Couples' before the end of the month. He made no assumptions about imaginary symbols obeying the laws of ordinary algebra, only that the system be closed . Different definitions of moduli for algebraic couples were considered, but no attempt was made to examine the properties of the individual systems. Cayley's intention to classify systems is evident. He began but did not dwell on the study of these algebras; there were other attractions and he could not resist their allure. The foray into the new algebras had been short-lived but incisive. Barely four months had elapsed since he first learned about the quaternions, yet he had rapidly written a paper on the subject and capped it with his brilliant discovery of the octaves. Now it was time to move on' (Tony Crilly, Arthur Cayley: Mathematician Laureate of the Victorian Age, 2006, pp. 104-5). This issue also contains Michael FARADAY, 'On the Magnetic Relations and Characters of the Metals' (pp. 1-3); George Gabriel STOKES, 'On the Aberration of Light' (pp. 9-15). For Cayley, see John D. North's article in D.S.B. III, pp. 162-170. Bookseller Inventory # 16478

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Title: On Algebraical Couples.' Pp. 38-40 in: The ...

Publisher: London: Richard and John E. Taylor, 1845.

Publication Date: 1845

Binding: Soft cover

Book Condition:Fine

Dust Jacket Condition: No Jacket

Edition: 1st Edition

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