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A link from complex number to hypercomplex numbers

  1. Oct 23, 2015 #1
    If i understand correctly, the discovery of complex numbers was linked to solving real number problems, s.a. finding square roots of negative numbers. In other words, at first there was a problem that was formulated using real numbers only that had no real number solutions, which lead to extending the concept of numbers to include complex numbers.

    Is there a similar problem that uses complex numbers only but has no complex number solution and requires the introduction of hypercomplex numbers?

    Or is it that hypercomplex numbers were discovered/invented by simply adding extra dimensions to complex numbers?

    Thank you in advance!
     
  2. jcsd
  3. Oct 23, 2015 #2

    BvU

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  4. Oct 23, 2015 #3
  5. Oct 25, 2015 #4
    Khashishi, thank you so much, that's exactly what i was looking for!
     
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