(Defination)
(Definition)
Line 4: Line 4:
 
== Definition==
 
== Definition==
 
<pre>
 
<pre>
     Imaginary number comes to use when people want to refer to a number which could not be represented by any real number,
+
     Complex number is the combination of real number and imaginary number. It's basic form is a+bi,
such as the square root of a negative number. When we combine a real number and an imaginary number together, we get a  
+
Where a is the real part and bi is the imaginary part.  
complex number.
+
     i is the unit for imaginary number. In a complex coordinate, a+bi is point(a,b). The distance between this point and the origin is <math>sqt(a^2+b^2)</math>.
</pre>   
+
    In the form a+bi, when b=0, the complex number belongs to real number; when a=0, the complex number belongs to imaginary number; when they both are not zero, it belongs to complex region.
     We use i to represent <math>sqrt(-1)</math>.
+
 
 +
    The triangular form of a complex number is Z=r(cosx + isinx). r is the distance between point Z and the origin on a complex coordiante. rcosx is real part and irsinx is the imaginary part.

Revision as of 16:20, 2 September 2008

Review of Complex Number

Definition

    Complex number is the combination of real number and imaginary number. It's basic form is a+bi,
Where a is the real part and bi is the imaginary part. 
    i is the unit for imaginary number. In a complex coordinate, a+bi is point(a,b). The distance between this point and the origin is <math>sqt(a^2+b^2)</math>.
    In the form a+bi, when b=0, the complex number belongs to real number; when a=0, the complex number belongs to imaginary number; when they both are not zero, it belongs to complex region.

    The triangular form of a complex number is Z=r(cosx + isinx). r is the distance between point Z and the origin on a complex coordiante. rcosx is real part and irsinx is the imaginary part.

Alumni Liaison

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

Dr. Paul Garrett