Quaternions and Cayley Numbers is popular PDF and ePub book, written by J.P. Ward in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Quaternions and Cayley Numbers can be Read Online from any device for your convenience.
Quaternions and Cayley Numbers Book PDF Summary
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.
Detail Book of Quaternions and Cayley Numbers PDF
- Author : J.P. Ward
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789401157681
- Genre : Mathematics
- Total Page : 252 pages
- Language : English
- PDF File Size : 20,6 Mb
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