Complex Number Tutorial
Learn complex numbers with flash programs
HINT: If program is too big for screen click mouse in program then push "CTRL" and spin mouse wheel at the same time... or push F11 for full screen.
Before you can understand the Fourier series as a sum of complex exponentials, you need to first understand complex exponentials. The four flash programs below will help you visualize complex numbers and e^jwt.
This assumes you know about complex numbers as roots of algebraic formulas such as : x^2+1, but that you want insight into e^jwt, and how sine and cosine waves are made from e^jwt and e^-jwt.
Flash Program Description |
Complex Number |
Tutorial 1 Demonstrates how e^jx creates a complex number |
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Tutorial 2 Adds time to allow you to look at e^jwt. Lets you think about how e^jwt converts one complex number into another one, and gets you familiar with the circular motion of phasors |
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Tutorial 3 Allows you to add two phasors together and see how a real sinusoidal wave is generated with two opposite rotating phasors. |
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