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Hw set 1:

pg 13: 4,7
pg 21: 1,2,3,4,5,6,7

Hw set 2: Edition 9 of the book

pg 30: 1,2,3,5,7,8

Hw set 3: Edition 9 of the book

pg 34: 1 abcd,2,3, 4 ab, 6
pg 43: 1ab, 2, 6,9

Set 4:

pg 54: 1, 2, 4, 7, 13
pg 61: 1, 4, 6, 8

Set 5:

pg 70: 1 ab, 2ab, 5, 8
pg 76: 1 ab, 2 ab, 7
pg 89: 2, 3
pg 95: 3, 4, 5, 10
pg 99: 1, 2

Set 6:

pg 123:1, 2, 4, 5
pg 132: 1, 2, 3, 4, 5

Set 7:

pg 138: 1, 2
pg 147: 1, 2, 3, 4
pg159: 1 abc, 2, 4, 6

Set 8:

170: 1, 2, 3, 4, 5, 7
177: 1, 2, 3, 4, 5
185: 4, 6

Set 9:

195: 1,2, 3, 4, 5
205: 1, 2, 4, 5, 6, 10

Set 10:

218: 1, 2, 4, 5, 6, 7, 10

Set 11:

224: 1, 2, 3
237: 1abc, 2, 3, 4, 5

Set 12:

237: 6, 7
246: 1, 2, 3, 7
253: 1, 2, 3, 7
264: 1, 3

Set 13:

Lang, complex variables.

1. Calculate the monodromy of analytic continuation of f₀(z) = Log(z), (principal branch of log) starting at z = 1, around a unit circle centered at the origin.

2. Let D₁, D₂ be a pair of simply connected open domains, $z_1 D_1 $, z₂ ∈ D₂. Use the Riemann mapping theorem to show that there is an bi-holomorphic map g : D₁ → D₂ which maps z₁ to z₂, bi-holomorphic means analytic with analytic inverse.