(Complex Arithmetic)
(Complex Arithmetic)
Line 6: Line 6:
 
'''Addition and Subtraction'''
 
'''Addition and Subtraction'''
 
<math> (a + bi) + (c + di) = (a + c) + (b + d)i </math>
 
<math> (a + bi) + (c + di) = (a + c) + (b + d)i </math>
 +
 
<math> (a + bi) - (c + di) = (a - c) + (b - d)i </math>
 
<math> (a + bi) - (c + di) = (a - c) + (b - d)i </math>

Revision as of 11:10, 5 September 2008

Notation

$ a+bi $ where a and b are real numbers, and i is the imaginary unit, which has the property $ i^2 = -1 $. The real number a is called the real part of the complex number, and the real number b is the imaginary part.

Complex Arithmetic

Addition and Subtraction $ (a + bi) + (c + di) = (a + c) + (b + d)i $

$ (a + bi) - (c + di) = (a - c) + (b - d)i $

Alumni Liaison

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

Dr. Paul Garrett