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Algebra Best book(s) on Quaternions?

  1. Oct 31, 2015 #1
    I am very much interested in gaining an in-depth knowledge of quaternions, yet I cannot find any reviews of books on quaternions anywhere. Does anyone have any recommendations? Are Hamilton's and Tait's books my best bet?
     
  2. jcsd
  3. Oct 31, 2015 #2

    micromass

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    Please tell us all the math you know. Also, please indicate why you are interested in quaternions.
     
  4. Oct 31, 2015 #3
    @micromass The relevant math courses I have completed (or am taking *) are calculus I through III, Linear Algebra*, Differential Equations I*, Vector Analysis* (Including a brief intro to tensors), and Theoretical physics I*(which covers cal 2, cal 3, linear algebra, complex arithmetic, DE I, DE II, Fourier Analysis, and Vector Analysis). I am self-studying Fourier Analysis, Perturbation Theory, Complex Analysis, Differential Geometry for next semester. I would just like to know more about quaternions because I did a project in my vector analysis course in which I had to give a brief history of William Rowan Hamilton's life, and quaternions have very much captured my interest, but it is hard to find any recommended literature on the subject. Also, I have deduced that an understanding of quaternions will come in handy in QM and this is about the point in the semester that I like to begin preparing for next semester.
     
  5. Oct 31, 2015 #4

    micromass

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    OK. Well, it seems to be that you will want to study geometric algebra then. This is very related to the quaternions. To study it, I suggest the books by MacDonald, he has two:
    https://www.amazon.com/Linear-Geometric-Algebra-Alan-Macdonald/dp/1453854932
    https://www.amazon.com/Vector-Geometric-Calculus-Alan-Macdonald/dp/1480132454/
    There are many other texts on geometric algebra though.
    If you are mostly interested in the applications to physics, then you have: https://www.amazon.com/Geometric-Algebra-Physicists-Chris-Doran/dp/0521715954
     
  6. Nov 1, 2015 #5
    @micromass Thank you very much! I shall definitely check out all three of them.
     
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