Quaternions and Cayley Numbers - Algebra and Applications (Hardcover, 1997 ed.)

In essence, this text is written as a challenge to others, to discover significant uses for Cayley number algebra in physics. I freely admit that though the reading of some sections would benefit from previous experience of certain topics in physics - particularly relativity and electromagnetism - generally the mathematics is not sophisticated. In fact, the mathematically sophisticated reader, may well find that in many places, the rather deliberate progress too slow for their liking. This text had its origin in a 90-minute lecture on complex numbers given by the author to prospective university students in 1994. In my attempt to develop a novel approach to the subject matter I looked at complex numbers from an entirely geometric perspective and, no doubt in line with innumerable other mathematicians, re-traced steps first taken by Hamilton and others in the early years of the nineteenth century. I even enquired into the possibility of using an alternative multiplication rule for complex numbers (in which argzlz2 = argzl- argz2) other than the one which is normally accepted (argzlz2 = argzl + argz2). Of course, my alternative was rejected because it didn't lead to a 'product' which had properties that we now accept as fundamental (i. e.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 403
Release date:	April 1997
First published:	1997
Authors:	J.P. Ward
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	242
Edition:	1997 ed.
ISBN-13:	978-0-7923-4513-8
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	0-7923-4513-4
Barcode:	9780792345138

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