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# Solutions to Complex Variables and its Applications 8e by Churchill

Visit the Textbook's Page on Amazon.comChapter 1: Complex Numbers | |||||||||
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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 | |||||||||
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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 | |||||||||
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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 | ||||||||
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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 | |||||
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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 |