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Simple complex analysis question

  1. Aug 18, 2011 #1

    In complex analysis, is it an axiom that iy=yi where y is real? Or can this result be proved somehow? Thank you.
  2. jcsd
  3. Aug 18, 2011 #2
    Well, it depends on how you define the product. The most elementary way to define complex numbers is by defining the to be couples (a,b) with addition


    Here a real number is of the form (a,0) and i is (0,1). It can now easily be checked tht

  4. Aug 18, 2011 #3
    Thank you micromass. That is a nice way of looking at it
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