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Solutions to Complex Variables and its Applications 8e by Churchill

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Table of Contents


Chapter 1: Complex Numbers
Sec. 2 Sec. 3 Sec. 4 Sec. 5 Sec. 8 Sec. 10 Sec. 11
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 16 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 8
Exercise 9 Exercise 9 Exercise 9 Exercise 9 Exercise 9
Exercise 10 Exercise 10 Exercise 10 Exercise 10

Chapter 2: Analytic Functions
Sec. 12 Sec. 14 Sec. 18 Sec. 20 Sec. 23 Sec. 25 Sec. 26 Sec. 28
Exercise 1 Exercise 1 Exercise 1 Exercise 11 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 11 Exercise 1
Exercise 2 Exercise 2 Exercise 2 Exercise 12 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 13 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 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 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9 Exercise 9
Exercise 10 Exercise 10 Exercise 10

Chapter 3: Elementary Functions
Sec. 29 Sec. 31 Sec. 32 Sec. 33 Sec. 34 Sec. 35 Sec. 36
Exercise 1 Exercise 12 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 12 Exercise 1 Exercise 12 Exercise 1
Exercise 2 Exercise 13 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 13 Exercise 2 Exercise 13 Exercise 2
Exercise 3 Exercise 14 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 14 Exercise 3 Exercise 14 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 15 Exercise 4 Exercise 15 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 16 Exercise 5 Exercise 16 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 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

Chapter 4: Integrals
Sec. 38 Sec. 39 Sec. 42 Sec. 43 Sec. 45 Sec. 49 Sec. 52 Sec. 54
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 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 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 Exercise 9

Chapter 5: Series
Sec. 56 Sec. 59 Sec. 62 Sec. 66 Sec. 67
Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 8
Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2
Exercise 3 Exercise 3 Exercise 10 Exercise 3 Exercise 10 Exercise 3 Exercise 10 Exercise 3
Exercise 4 Exercise 4 Exercise 11 Exercise 4 Exercise 11 Exercise 4 Exercise 11 Exercise 4
Exercise 5 Exercise 5 Exercise 12 Exercise 5 Exercise 5 Exercise 12 Exercise 5
Exercise 6 Exercise 6 Exercise 13 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7

Chapter 6: Residues and Poles
Sec. 71 Sec. 72 Sec. 74 Sec. 76
Exercise 1 Exercise 5 Exercise 1 Exercise 5 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 3 Exercise 3 Exercise 7 Exercise 3 Exercise 7 Exercise 11
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 8

Chapter 7: Application of Residues
Sec. 79 Sec. 81 Sec. 84 Sec. 85 Sec. 87 Sec. 89
Exercise 1 Exercise 9 Exercise 1 Exercise 9 Exercise 1 Exercise 1 Exercise 1 Exercise 9 Exercise 1 Exercise 9
Exercise 2 Exercise 10 Exercise 2 Exercise 10 Exercise 2 Exercise 2 Exercise 2 Exercise 10 Exercise 2 Exercise 10
Exercise 3 Exercise 3 Exercise 11 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 11
Exercise 4 Exercise 4 Exercise 12 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 12
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 13
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 14
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8

Chapter 8: Mapping by Elementary Functions
Sec. 90 Sec. 92 Sec. 94 Sec. 95 Sec. 96 Sec. 97 Sec. 98 Sec. 99 Sec. 100
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 10 Exercise 10
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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