(Some Operations)
(Some Operations)
Line 7: Line 7:
 
* <math>|a+bi| =\sqrt(a^2+b^2)</math>
 
* <math>|a+bi| =\sqrt(a^2+b^2)</math>
 
* <math>|z| = |\overline z|</math> , where z is complex number
 
* <math>|z| = |\overline z|</math> , where z is complex number
* Euler Equation :  <math>\exp^(ia) = cosat+isinat</math>
+
* Euler Equation :  <math>exp^(i*a) = cos a+isin a</math>

Revision as of 10:24, 1 September 2008

Definition

  • the complex numbers are combinations of both real parts and imaginary parts, denoted i.
  • These can be written a+bi, where a and b are real numbers.

Some Operations

  • $ i^2 = -1 $
  • $ |a+bi| =\sqrt(a^2+b^2) $
  • $ |z| = |\overline z| $ , where z is complex number
  • Euler Equation : $ exp^(i*a) = cos a+isin a $

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett