



 
Kara, we have 2 responses for you:
Hi Kara, I am a mathematician and mathematicians use complex numbers very often. They do so in their abstract mathematical work but also in the application of mathematics to practical situations. Here is one example. If you suspend a coil spring with a weight at the end of the spring, pull the weight down and then release it the weight will oscillate up and down. You can find a simulation at Physics Java Applets, just pull down the weight and release it. To construct a mathematical expression for this motion you can use some knowledge of the physics and calculus. A key step in this procedure is the solution of a quadratic equation which has complex solutions. It is exactly these complex solutions that give rise to the periodic functions that describe the oscillations. Penny
 


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