Where can I find resources to learn about quaternions?

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    Quaternions
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Discussion Overview

The discussion centers around finding resources to learn about quaternions, including their theoretical foundations and practical applications. Participants share various sources and express their experiences with different materials, highlighting the challenges of understanding complex texts.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses interest in quaternions for their ability to provide deeper insights into systems compared to vector analysis and seeks online resources.
  • Another participant suggests accessing original works by the inventor of quaternions, linking to a specific archive resource.
  • A participant shares uncertainty about the clarity of the original texts, referencing difficulties encountered with Maxwell's treatise and suggesting that advanced coursework may be necessary for comprehension.
  • Further, a participant mentions that Hamilton's work provides detailed motivation for quaternions and recommends exploring geometric algebra through the works of Grassmann and Clifford, noting that original texts can be challenging but valuable for understanding modern concepts.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best resources, as opinions vary regarding the accessibility and clarity of original texts versus modern interpretations.

Contextual Notes

Some participants express limitations in their understanding based on prior knowledge and the complexity of the original works, indicating a potential dependence on educational background.

skweiler
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I am interested in learning more about quaternions because they can show more about a system than vector analysis. Does anyone know of a good website that teaches the theory and how to use quaternions? I have already tried the book Quaternions and Rotation Sequences. I might have to check it out from the library again if I can't find anything on the web.
 
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Thanks for the idea. I will try this, but I am not too certain whether it will be explained well enough. I checked out Maxwell's original treatise on Electricity and Magnetism and it was very difficult to understand. Part of it may be that I need to have taken more advanced physics and/or math course to understand it.
 
skweiler said:
Thanks for the idea. I will try this, but I am not too certain whether it will be explained well enough. I checked out Maxwell's original treatise on Electricity and Magnetism and it was very difficult to understand. Part of it may be that I need to have taken more advanced physics and/or math course to understand it.

I read this text a while back and Hamilton does go into a lot of detail regarding the motivation behind the quaternion.

Also if you are interested in geometric algebra, look for stuff by Grassmann or Clifford or any kind of exposition on the ideas of these folk. The original authors (this primarily concerns grassmann) can be hard to understand, but the ideas (especially from Grassmann) are good to understand geometric algebra in a modern context.
 

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