(Some Operations)
(Some Operations)
Line 4: Line 4:
  
 
== Some Operations ==
 
== Some Operations ==
* <math>i^2 = -1</math>
+
* <math>j^2 = -1</math>
 
* <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)</math> = = cos a+isin a
 
* Euler Equation :  <math>exp^(ia)</math> = = cos a+isin a

Revision as of 09:24, 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

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

Alumni Liaison

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

Dr. Paul Garrett