- #1

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- Thread starter C.E
- Start date

- #1

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- #2

- 2,257

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I dont know much about them but I heard that they are used to express rotations. you might want to look at this:

http://modelingnts.la.asu.edu/

the above link is about 'geometric algebra' which is, like quaternions, an extension of the concept of imaginary numbers which involves the idea of rotations. but it seems to be broader and possibly more useful than quaternions (as you can see from the links on that page)

http://modelingnts.la.asu.edu/

the above link is about 'geometric algebra' which is, like quaternions, an extension of the concept of imaginary numbers which involves the idea of rotations. but it seems to be broader and possibly more useful than quaternions (as you can see from the links on that page)

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- #3

- 59

- 0

It goes a little beyond the undergraduate level, but quarternions are the natural way to express instanton solutions in classical yang-mills SU(2) gauge theories (which are like a more advanced version of Maxwell's equations) cf Atiyah 1979.

I just want to comment that 'geometric algebra' is not a mainstream topic, and that personally I regret the time I've wasted on these kinds of things during my education. Until the math dept offers a class on geometric algebra, I don't recommend bothering with it.

- #4

- 261

- 2

You might try looking at the computer graphics literature. Quaternions are used in video games.

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