Chapter 1: Complex Numbers Flashcards by mark I

Q

the complex numbers form what type of structure?

A

a field under +, x

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Q

called “modulus”

| in complex land means

A

√x^2 + y^2 for z = x + iy

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Q

triangle in complex land

A

|z + w| ≤ |z| + |w|

(it’s no different from the reals)

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Q

nice property of | | ?

A

|zw| = |z| |w|

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Q

zw implies

A

adding angle

multiplying lengths

(use polar coordinates to derive)

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