Chapter 1: Complex Numbers Flashcards
1
Q
the complex numbers form what type of structure?
A
a field under +, x
2
Q
called “modulus”
| in complex land means
A
√x^2 + y^2 for z = x + iy
3
Q
triangle in complex land
A
|z + w| ≤ |z| + |w|
(it’s no different from the reals)
4
Q
nice property of | | ?
A
|zw| = |z| |w|
5
Q
zw implies
A
adding angle
multiplying lengths
(use polar coordinates to derive)
