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Solutions to Complex Variables and its Applications 9e by Churchill

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Table of Contents


Chapter 1: Complex Numbers
Sec. 2 Sec. 3 Sec. 5 Sec. 6 Sec. 9 Sec. 11 Sec. 12
Exercise 1 Exercise 11 Exercise 1 Exercise 1 Exercise 1 Exercise 11 Exercise 1 Exercise 11 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 12 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 13 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 14 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 15 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9 Exercise 9 Exercise 9 Exercise 9
Exercise 10 Exercise 10 Exercise 10 Exercise 10

Chapter 2: Analytic Functions
Sec. 14 Sec. 18 Sec. 20 Sec. 24 Sec. 26 Sec. 27 Sec. 29
Exercise 1 Exercise 9 Exercise 1 Exercise 9 Exercise 1 Exercise 9 Exercise 1 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 10 Exercise 2 Exercise 10 Exercise 2 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 11 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 12 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 13 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8

Chapter 3: Elementary Functions
Sec. 30 Sec. 33 Sec. 34 Sec. 36 Sec. 38 Sec. 39 Sec. 40
Exercise 1 Exercise 13 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 13 Exercise 1 Exercise 13 Exercise 1
Exercise 2 Exercise 14 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 14 Exercise 2 Exercise 14 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 15 Exercise 3 Exercise 15 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 16 Exercise 4 Exercise 16 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 17 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9 Exercise 9 Exercise 9
Exercise 10 Exercise 10 Exercise 10 Exercise 10
Exercise 11 Exercise 11 Exercise 11 Exercise 11
Exercise 12 Exercise 12 Exercise 12 Exercise 12

Chapter 4: Integrals
Sec. 42 Sec. 43 Sec. 46 Sec. 47 Sec. 49 Sec. 53 Sec. 57 Sec. 59
Exercise 1 Exercise 1 Exercise 1 Exercise 10 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 10 Exercise 1
Exercise 2 Exercise 2 Exercise 2 Exercise 11 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 12 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 13 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9

Chapter 5: Series
Sec. 61 Sec. 65 Sec. 68 Sec. 72 Sec. 73
Exercise 1 Exercise 7 Exercise 1 Exercise 7 Exercise 1 Exercise 7 Exercise 1 Exercise 7 Exercise 1 Exercise 7
Exercise 2 Exercise 8 Exercise 2 Exercise 8 Exercise 2 Exercise 8 Exercise 2 Exercise 8 Exercise 2 Exercise 8
Exercise 3 Exercise 9 Exercise 3 Exercise 9 Exercise 3 Exercise 9 Exercise 3 Exercise 9 Exercise 3 Exercise 9
Exercise 4 Exercise 4 Exercise 10 Exercise 4 Exercise 10 Exercise 4 Exercise 10 Exercise 4
Exercise 5 Exercise 5 Exercise 11 Exercise 5 Exercise 5 Exercise 11 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 12 Exercise 6

Chapter 6: Residues and Poles
Sec. 77 Sec. 79 Sec. 81 Sec. 83
Exercise 1 Exercise 5 Exercise 1 Exercise 1 Exercise 5 Exercise 1 Exercise 5 Exercise 9
Exercise 2 Exercise 6 Exercise 2 Exercise 2 Exercise 6 Exercise 2 Exercise 6 Exercise 10
Exercise 3 Exercise 7 Exercise 3 Exercise 3 Exercise 7 Exercise 3 Exercise 7 Exercise 11
Exercise 4 Exercise 4 Exercise 4 Exercise 8 Exercise 4 Exercise 8 Exercise 12

Chapter 7: Application of Residues
Sec. 86 Sec. 88 Sec. 91 Sec. 92 Sec. 94 Sec. 95
Exercise 1 Exercise 7 Exercise 1 Exercise 7 Exercise 1 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 8 Exercise 2 Exercise 8 Exercise 2 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 9 Exercise 3 Exercise 9 Exercise 3 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 10 Exercise 4 Exercise 10 Exercise 4 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 11 Exercise 5 Exercise 11 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 12 Exercise 6 Exercise 6 Exercise 6

Chapter 8: Mapping by Elementary Functions
Sec. 96 Sec. 98 Sec. 100 Sec. 102 Sec. 106 Sec. 108 Sec. 109 Sec. 110 Sec. 111
Exercise 1 Exercise 1 Exercise 13 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 14 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9
Exercise 10 Exercise 10 Exercise 10
Exercise 11 Exercise 11 Exercise 11
Exercise 12 Exercise 12

Chapter 9: Conformal Mapping
Sec. 114 Sec. 115 Sec. 117
Exercise 1 Exercise 5 Exercise 9 Exercise 1 Exercise 5 Exercise 1 Exercise 5 Exercise 9
Exercise 2 Exercise 6 Exercise 10 Exercise 2 Exercise 6 Exercise 2 Exercise 6 Exercise 10
Exercise 3 Exercise 7 Exercise 3 Exercise 7 Exercise 3 Exercise 7
Exercise 4 Exercise 8 Exercise 4 Exercise 4 Exercise 8

Chapter 10: Applications of Conformal Mapping
Sec. 121 Sec. 123 Sec. 126
Exercise 1 Exercise 6 Exercise 11 Exercise 1 Exercise 6 Exercise 1 Exercise 6 Exercise 11 Exercise 16
Exercise 2 Exercise 7 Exercise 12 Exercise 2 Exercise 7 Exercise 2 Exercise 7 Exercise 12 Exercise 17
Exercise 3 Exercise 8 Exercise 13 Exercise 3 Exercise 8 Exercise 3 Exercise 8 Exercise 13 Exercise 18
Exercise 4 Exercise 9 Exercise 4 Exercise 9 Exercise 4 Exercise 9 Exercise 14
Exercise 5 Exercise 10 Exercise 5 Exercise 10 Exercise 5 Exercise 10 Exercise 15

Chapter 11: The Schwarz--Christoffel Transformation
Sec. 128 Sec. 130 Sec. 133
Exercise 1 Exercise 1 Exercise 4 Exercise 7 Exercise 1 Exercise 4
Exercise 2 Exercise 2 Exercise 5 Exercise 8 Exercise 2 Exercise 5
Exercise 3 Exercise 3 Exercise 6 Exercise 9 Exercise 3

Chapter 12: Integral Formulas of the Poisson Type
Sec. 136 Sec. 137 Sec. 139 Sec. 140
Exercise 1 Exercise 5 Exercise 1 Exercise 5 Exercise 1 Exercise 1
Exercise 2 Exercise 6 Exercise 2 Exercise 6 Exercise 2 Exercise 2
Exercise 3 Exercise 7 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 8 Exercise 4 Exercise 4 Exercise 4

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