Lecture 4: Complex Numbers
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Zagazig University
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Summary
This is a lecture on complex numbers. The lecture covers the properties of complex numbers, examples and De Moivre's Theorem. It contains various examples to demonstrate complex number calculations and transformations.
Full Transcript
**[Chapter 3: Complex Numbers]** Any number can be written as where x is the real part and y is the imaginary part Properties of complex numbers: 1) 2)The sum of two complex numbers is 3)The product of two complex numbers is 4)The absolute value of complex number is 5)The conjugate of comple...
**[Chapter 3: Complex Numbers]** Any number can be written as where x is the real part and y is the imaginary part Properties of complex numbers: 1) 2)The sum of two complex numbers is 3)The product of two complex numbers is 4)The absolute value of complex number is 5)The conjugate of complex number is 6) Example (1):Write each of the following as 1) 2) 3) **Example 2:**Calculate 1) 2\) Geometric and polar form of complex number Where and **Example 3** Let , find and its argument **Solution** Powers of complex number (De Moivre's Theorem) **Example 4:**Use De Moivre's to evaluate **Solution** 1)
