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Quaternions and Cayley Numbers - Algebra and Applications (Paperback, Softcover reprint of the original 1st ed. 1997)
Loot Price: R1,514
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Quaternions and Cayley Numbers - Algebra and Applications (Paperback, Softcover reprint of the original 1st ed. 1997)
Series: Mathematics and Its Applications, 403
Expected to ship within 10 - 15 working days
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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
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