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Subject: "Complex number solutions"     Previous Topic | Next Topic
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Conferences The CTK Exchange College math Topic #539
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Owen
guest
Nov-10-05, 01:53 AM (EST)
 
"Complex number solutions"
 
   I am searching for a set of geometry problems (at the undergraduate level) that can be solved using complex numbers. I found one such problem on this CTK site at Geometry/EquilateralTrianglesSolution.shtml .

I have also seen the two proofs here (of Napoleon's Theorem and Morley's Theorem) that use the complex number condition for equilateral triangles.

I would be grateful to anyone who could provide me references
for other interesting problems.


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alexb
Charter Member
1682 posts
Nov-13-05, 01:59 AM (EST)
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1. "RE: Complex number solutions"
In response to message #0
 
   >I would be grateful to anyone who could provide me
>references for other interesting problems.

There are two excellent books:


  1. L.-s. Hahn, Complex NUmbers & Geomtry, MAA, 1994
  2. T. Andreescu, D. Andrica, Complex Numbers from A to ... Z, Birkhäuser, 2006 (but already available)


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Owen
Member since Nov-11-05
Nov-14-05, 10:16 AM (EST)
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2. "RE: Complex number solutions"
In response to message #1
 
   Thank you Alex. I will look into them. I have also found a number of nice examples on your site. Thank you for being diligent in providing references on your pages here.


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