(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^(ia) = cosat+isinat</math>

Revision as of 10:22, 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^(ia) = cosat+isinat $

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett