Functions of a complex variable
General · Mathematics
Study notes
Q: Compute e^(iπ/2) and (1+i)² as complex functions. e^(iπ/2) = cos(π/2)+i sin(π/2) = i (Euler!). (1+i)² = 1+2i+i² = 2i. Polar: (√2e^(iπ/4))² = 2e^(iπ/2) = 2i ✓! (Mappings: squaring doubles angles!)