In response to wasoxygen's question about how i^i can be a real number (link), I have compiled some notes on basics of the complex numbers. There are seven more pages to scan, but I had to get out from the computer lab before I could get them. Please remind me if I would forget to update the post.
Part 1: What are complex numbers, definition.
Part 2: Polar coordinate system,
Part 3: Complex numbers in polar coordinates, n-th powers of complex numbers.
Part 4: Euler's Theorem
Prerequisite of power series expansion.
Part 5: Consequences of the Euler's Theorem.
Regardless of its incomplete status: should I clarify what's already here? Any questions or observations?