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# Solutions to Mathematical Methods for Physicists 7e by Arfken

Visit the Textbook's Page on Amazon.comChapter 1: Mathematical Preliminaries | |||||||||
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1.1 | 1.2 | 1.3 | 1.4 | ||||||

Exercise 1 | Exercise 7 | Exercise 13 | Exercise 1 | Exercise 7 | Exercise 13 | Exercise 1 | Exercise 7 | Exercise 13 | Exercise 1 |

Exercise 2 | Exercise 8 | Exercise 14 | Exercise 2 | Exercise 8 | Exercise 14 | Exercise 2 | Exercise 8 | Exercise 14 | Exercise 2 |

Exercise 3 | Exercise 9 | Exercise 15 | Exercise 3 | Exercise 9 | Exercise 15 | Exercise 3 | Exercise 9 | Exercise 15 | |

Exercise 4 | Exercise 10 | Exercise 16 | Exercise 4 | Exercise 10 | Exercise 16 | Exercise 4 | Exercise 10 | Exercise 16 | |

Exercise 5 | Exercise 11 | Exercise 5 | Exercise 11 | Exercise 5 | Exercise 11 | Exercise 17 | |||

Exercise 6 | Exercise 12 | Exercise 6 | Exercise 12 | Exercise 6 | Exercise 12 | Exercise 18 |

Chapter 1: Mathematical Preliminaries (cont'd) | |||||||||
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1.5 | 1.6 | 1.7 | 1.8 | 1.9 | 1.10 | 1.11 | |||

Exercise 1 | Exercise 1 | Exercise 1 | Exercise 10 | Exercise 1 | Exercise 10 | Exercise 1 | Exercise 1 | Exercise 10 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 11 | Exercise 2 | Exercise 11 | Exercise 2 | Exercise 2 | Exercise 11 | Exercise 2 | |

Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 12 | Exercise 3 | ||||

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | |||||

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | |||||

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 | Exercise 9 |

Chapter 2: Determinants and Matrices | |||||||||
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2.1 | 2.2 | ||||||||

Exercise 1 | Exercise 8 | Exercise 1 | Exercise 8 | Exercise 15 | Exercise 22 | Exercise 29 | Exercise 36 | Exercise 43 | Exercise 50 |

Exercise 2 | Exercise 9 | Exercise 2 | Exercise 9 | Exercise 16 | Exercise 23 | Exercise 30 | Exercise 37 | Exercise 44 | Exercise 51 |

Exercise 3 | Exercise 3 | Exercise 10 | Exercise 17 | Exercise 24 | Exercise 31 | Exercise 38 | Exercise 45 | ||

Exercise 4 | Exercise 4 | Exercise 11 | Exercise 18 | Exercise 25 | Exercise 32 | Exercise 39 | Exercise 46 | ||

Exercise 5 | Exercise 5 | Exercise 12 | Exercise 19 | Exercise 26 | Exercise 33 | Exercise 40 | Exercise 47 | ||

Exercise 6 | Exercise 6 | Exercise 13 | Exercise 20 | Exercise 27 | Exercise 34 | Exercise 41 | Exercise 48 | ||

Exercise 7 | Exercise 7 | Exercise 14 | Exercise 21 | Exercise 28 | Exercise 35 | Exercise 42 | Exercise 49 |

Chapter 3: Vector Analysis | ||||||||
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3.2 | 3.3 | 3.4 | 3.5 | 3.6 | 3.7 | |||

Exercise 1 | Exercise 10 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 10 | Exercise 1 | Exercise 10 | Exercise 1 |

Exercise 2 | Exercise 11 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 11 | Exercise 2 | Exercise 11 | Exercise 2 |

Exercise 3 | Exercise 12 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 12 | Exercise 3 | Exercise 12 | Exercise 3 |

Exercise 4 | Exercise 13 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 13 | Exercise 4 | Exercise 13 | Exercise 4 |

Exercise 5 | Exercise 14 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 14 | Exercise 5 | |

Exercise 6 | Exercise 15 | Exercise 6 | Exercise 6 | Exercise 15 | ||||

Exercise 7 | Exercise 7 | Exercise 7 | Exercise 16 | |||||

Exercise 8 | Exercise 8 | Exercise 8 | Exercise 17 | |||||

Exercise 9 | Exercise 9 | Exercise 9 | Exercise 18 |

Chapter 3: Vector Analysis (cont'd) | |||||||||
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3.8 | 3.9 | 3.10 | |||||||

Exercise 1 | Exercise 8 | Exercise 1 | Exercise 8 | Exercise 1 | Exercise 8 | Exercise 15 | Exercise 22 | Exercise 29 | Exercise 36 |

Exercise 2 | Exercise 9 | Exercise 2 | Exercise 9 | Exercise 2 | Exercise 9 | Exercise 16 | Exercise 23 | Exercise 30 | Exercise 37 |

Exercise 3 | Exercise 10 | Exercise 3 | Exercise 10 | Exercise 3 | Exercise 10 | Exercise 17 | Exercise 24 | Exercise 31 | |

Exercise 4 | Exercise 11 | Exercise 4 | Exercise 11 | Exercise 4 | Exercise 11 | Exercise 18 | Exercise 25 | Exercise 32 | |

Exercise 5 | Exercise 12 | Exercise 5 | Exercise 12 | Exercise 5 | Exercise 12 | Exercise 19 | Exercise 26 | Exercise 33 | |

Exercise 6 | Exercise 13 | Exercise 6 | Exercise 6 | Exercise 13 | Exercise 20 | Exercise 27 | Exercise 34 | ||

Exercise 7 | Exercise 7 | Exercise 7 | Exercise 14 | Exercise 21 | Exercise 28 | Exercise 35 |

Chapter 4: Tensors and Differential Forms | |||||||||
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4.1 | 4.2 | 4.3 | 4.4 | 4.5 | 4.6 | 4.7 | |||

Exercise 1 | Exercise 7 | Exercise 1 | Exercise 7 | Exercise 1 | Exercise 7 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 8 | Exercise 2 | Exercise 2 | Exercise 8 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | |

Exercise 3 | Exercise 9 | Exercise 3 | Exercise 3 | Exercise 9 | Exercise 3 | Exercise 3 | Exercise 3 | ||

Exercise 4 | Exercise 10 | Exercise 4 | Exercise 4 | Exercise 10 | |||||

Exercise 5 | Exercise 11 | Exercise 5 | Exercise 5 | Exercise 11 | |||||

Exercise 6 | Exercise 6 | Exercise 6 | Exercise 12 |

Chapter 5: Vector Spaces | |||||||||
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5.1 | 5.2 | 5.3 | 5.4 | 5.5 | 5.6 | 5.7 | |||

Exercise 1 | Exercise 6 | Exercise 11 | Exercise 1 | Exercise 6 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 7 | Exercise 12 | Exercise 2 | Exercise 7 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 |

Exercise 3 | Exercise 8 | Exercise 3 | Exercise 8 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | |

Exercise 4 | Exercise 9 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | ||||

Exercise 5 | Exercise 10 | Exercise 5 | Exercise 5 | Exercise 5 |

Chapter 6: Eigenvalue Problems | |||||||||
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6.2 | 6.4 | 6.5 | |||||||

Exercise 1 | Exercise 6 | Exercise 11 | Exercise 1 | Exercise 6 | Exercise 1 | Exercise 6 | Exercise 11 | Exercise 16 | Exercise 21 |

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 14 | Exercise 4 | Exercise 9 | Exercise 4 | Exercise 9 | Exercise 14 | Exercise 19 | |

Exercise 5 | Exercise 10 | Exercise 15 | Exercise 5 | Exercise 5 | Exercise 10 | Exercise 15 | Exercise 20 |

Chapter 7: Ordinary Differential Equations | ||||||||
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7.2 | 7.3 | 7.4 | 7.5 | |||||

Exercise 1 | Exercise 6 | Exercise 11 | Exercise 16 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 6 | Exercise 11 |

Exercise 2 | Exercise 7 | Exercise 12 | Exercise 17 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 7 | Exercise 12 |

Exercise 3 | Exercise 8 | Exercise 13 | Exercise 18 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 8 | Exercise 13 |

Exercise 4 | Exercise 9 | Exercise 14 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 9 | ||

Exercise 5 | Exercise 10 | Exercise 15 | Exercise 5 | Exercise 5 | Exercise 10 |

Chapter 7: Ordinary Differential Equations | ||||||||||
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7.6 | 7.7 | 7.8 | ||||||||

Exercise 1 | Exercise 5 | Exercise 9 | Exercise 13 | Exercise 17 | Exercise 21 | Exercise 25 | Exercise 1 | Exercise 5 | Exercise 1 | |

Exercise 2 | Exercise 6 | Exercise 10 | Exercise 14 | Exercise 18 | Exercise 22 | Exercise 26 | Exercise 2 | Exercise 2 | ||

Exercise 3 | Exercise 7 | Exercise 11 | Exercise 15 | Exercise 19 | Exercise 23 | Exercise 3 | Exercise 3 | |||

Exercise 4 | Exercise 8 | Exercise 12 | Exercise 16 | Exercise 20 | Exercise 24 | Exercise 4 | Exercise 4 |

Chapter 8: Sturm-Liouville Theory | ||||||
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8.2 | 8.3 | 8.4 | ||||

Exercise 1 | Exercise 4 | Exercise 7 | Exercise 10 | Exercise 1 | Exercise 4 | Exercise 1 |

Exercise 2 | Exercise 5 | Exercise 8 | Exercise 2 | Exercise 5 | ||

Exercise 3 | Exercise 6 | Exercise 9 | Exercise 3 | Exercise 6 |

Chapter 9: Partial Differential Equations | |||||||
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9.2 | 9.3 | 9.4 | 9.5 | 9.6 | 9.7 | ||

Exercise 1 | Exercise 5 | Exercise 1 | Exercise 1 | Exercise 5 | Exercise 1 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 6 | Exercise 2 | Exercise 6 | Exercise 2 | Exercise 2 | Exercise 2 | |

Exercise 3 | Exercise 3 | Exercise 7 | Exercise 3 | Exercise 3 | Exercise 3 | ||

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 |

Chapter 10: Green's Functions | |||||||
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10.1 | 10.2 | ||||||

Exercise 1 | Exercise 4 | Exercise 7 | Exercise 10 | Exercise 13 | Exercise 1 | Exercise 4 | Exercise 7 |

Exercise 2 | Exercise 5 | Exercise 8 | Exercise 11 | Exercise 2 | Exercise 5 | ||

Exercise 3 | Exercise 6 | Exercise 9 | Exercise 12 | Exercise 3 | Exercise 6 |

Chapter 11: Complex Variable Theory | |||||||||
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11.2 | 11.3 | 11.4 | 11.5 | 11.6 | |||||

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 2 | Exercise 8 | Exercise 2 | Exercise 8 | Exercise 2 | Exercise 8 | |

Exercise 3 | Exercise 9 | Exercise 3 | Exercise 3 | Exercise 9 | Exercise 3 | Exercise 3 | Exercise 9 | ||

Exercise 4 | Exercise 10 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 10 | |||

Exercise 5 | Exercise 11 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 11 | |||

Exercise 6 | Exercise 12 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 |

Chapter 11: Complex Variable Theory (cont'd) | ||||||||
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Sec. 11.7 | Sec. 11.8 | Sec. 11.9 | Sec. 11.10 | |||||

Exercise 1 | Exercise 8 | Exercise 1 | Exercise 8 | Exercise 15 | Exercise 22 | Exercise 1 | Exercise 8 | Exercise 1 |

Exercise 2 | Exercise 9 | Exercise 2 | Exercise 9 | Exercise 16 | Exercise 23 | Exercise 2 | Exercise 2 | |

Exercise 3 | Exercise 10 | Exercise 3 | Exercise 10 | Exercise 17 | Exercise 24 | Exercise 3 | Exercise 3 | |

Exercise 4 | Exercise 11 | Exercise 4 | Exercise 11 | Exercise 18 | Exercise 25 | Exercise 4 | Exercise 4 | |

Exercise 5 | Exercise 12 | Exercise 5 | Exercise 12 | Exercise 19 | Exercise 26 | Exercise 5 | Exercise 5 | |

Exercise 6 | Exercise 6 | Exercise 13 | Exercise 20 | Exercise 27 | Exercise 6 | Exercise 6 | ||

Exercise 7 | Exercise 7 | Exercise 14 | Exercise 21 | Exercise 28 | Exercise 7 | Exercise 7 |

Chapter 12: Further Topics in Analysis | |||||||||
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12.1 | 12.2 | 12.3 | 12.4 | 12.5 | 12.6 | 12.7 | 12.8 | ||

Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 8 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 8 |

Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 9 | Exercise 2 | Exercise 2 | Exercise 2 | |

Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 10 | Exercise 3 | Exercise 3 | Exercise 3 | ||

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | |||||

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | |||||

Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | |||||

Exercise 7 | Exercise 7 | Exercise 7 | Exercise 7 | Exercise 7 |

Chapter 13: Gamma Function | |||||||||
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13.1 | 13.2 | 13.3 | 13.4 | 13.5 | 13.6 | ||||

Exercise 1 | Exercise 13 | Exercise 1 | Exercise 13 | Exercise 1 | Exercise 13 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 13 |

Exercise 2 | Exercise 14 | Exercise 2 | Exercise 14 | Exercise 2 | Exercise 14 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 14 |

Exercise 3 | Exercise 15 | Exercise 3 | Exercise 15 | Exercise 3 | Exercise 15 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 15 |

Exercise 4 | Exercise 16 | Exercise 4 | Exercise 4 | Exercise 16 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 16 | |

Exercise 5 | Exercise 17 | Exercise 5 | Exercise 5 | Exercise 17 | Exercise 5 | Exercise 5 | Exercise 5 | ||

Exercise 6 | Exercise 18 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | |||

Exercise 7 | Exercise 19 | Exercise 7 | Exercise 7 | Exercise 7 | Exercise 7 | Exercise 7 | |||

Exercise 8 | Exercise 20 | Exercise 8 | Exercise 8 | Exercise 8 | Exercise 8 | Exercise 8 | |||

Exercise 9 | Exercise 21 | Exercise 9 | Exercise 9 | Exercise 9 | Exercise 9 | ||||

Exercise 10 | Exercise 22 | Exercise 10 | Exercise 10 | Exercise 10 | Exercise 10 | ||||

Exercise 11 | Exercise 23 | Exercise 11 | Exercise 11 | Exercise 11 | |||||

Exercise 12 | Exercise 12 | Exercise 12 | Exercise 12 |

Chapter 14: Bessel Functions | |||||||||
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14.1 | 14.2 | 14.3 | 14.4 | 14.5 | 14.6 | 14.7 | |||

Exercise 1 | Exercise 16 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 16 | Exercise 1 | Exercise 1 | Exercise 16 |

Exercise 2 | Exercise 17 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 17 | |

Exercise 3 | Exercise 18 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | ||

Exercise 4 | Exercise 19 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | ||

Exercise 5 | Exercise 20 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | ||

Exercise 6 | Exercise 21 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | ||

Exercise 7 | Exercise 22 | Exercise 7 | Exercise 7 | Exercise 7 | Exercise 7 | Exercise 7 | Exercise 7 | ||

Exercise 8 | Exercise 23 | Exercise 8 | Exercise 8 | Exercise 8 | Exercise 8 | Exercise 8 | Exercise 8 | ||

Exercise 9 | Exercise 24 | Exercise 9 | Exercise 9 | Exercise 9 | Exercise 9 | Exercise 9 | |||

Exercise 10 | Exercise 25 | Exercise 10 | Exercise 10 | Exercise 10 | Exercise 10 | ||||

Exercise 11 | Exercise 26 | Exercise 11 | Exercise 11 | Exercise 11 | |||||

Exercise 12 | Exercise 27 | Exercise 12 | Exercise 12 | Exercise 12 | |||||

Exercise 13 | Exercise 28 | Exercise 13 | Exercise 13 | Exercise 13 | |||||

Exercise 14 | Exercise 29 | Exercise 14 | Exercise 14 | ||||||

Exercise 15 | Exercise 15 | Exercise 15 |

Chapter 15: Legendre Functions | |||||||||
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15.1 | 15.2 | 15.3 | 15.4 | 15.5 | 15.6 | ||||

Exercise 1 | Exercise 11 | Exercise 1 | Exercise 11 | Exercise 21 | Exercise 1 | Exercise 1 | Exercise 11 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 12 | Exercise 2 | Exercise 12 | Exercise 22 | Exercise 2 | Exercise 2 | Exercise 12 | Exercise 2 | Exercise 2 |

Exercise 3 | Exercise 13 | Exercise 3 | Exercise 13 | Exercise 23 | Exercise 3 | Exercise 3 | Exercise 13 | Exercise 3 | Exercise 3 |

Exercise 4 | Exercise 14 | Exercise 4 | Exercise 14 | Exercise 24 | Exercise 4 | Exercise 4 | Exercise 14 | Exercise 4 | Exercise 4 |

Exercise 5 | Exercise 15 | Exercise 5 | Exercise 15 | Exercise 25 | Exercise 5 | Exercise 5 | Exercise 15 | Exercise 5 | |

Exercise 6 | Exercise 16 | Exercise 6 | Exercise 16 | Exercise 26 | Exercise 6 | Exercise 6 | Exercise 16 | Exercise 6 | |

Exercise 7 | Exercise 17 | Exercise 7 | Exercise 17 | Exercise 27 | Exercise 7 | Exercise 7 | Exercise 17 | Exercise 7 | |

Exercise 8 | Exercise 18 | Exercise 8 | Exercise 18 | Exercise 8 | Exercise 8 | Exercise 18 | |||

Exercise 9 | Exercise 9 | Exercise 19 | Exercise 9 | Exercise 19 | |||||

Exercise 10 | Exercise 10 | Exercise 20 | Exercise 10 | Exercise 20 |

Chapter 16: Angular Momentum | ||||||||
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16.1 | 16.2 | 16.3 | 16.4 | |||||

Exercise 1 | Exercise 5 | Exercise 1 | Exercise 5 | Exercise 1 | Exercise 5 | Exercise 9 | Exercise 1 | Exercise 5 |

Exercise 2 | Exercise 6 | Exercise 2 | Exercise 2 | Exercise 6 | Exercise 10 | Exercise 2 | Exercise 6 | |

Exercise 3 | Exercise 7 | Exercise 3 | Exercise 3 | Exercise 7 | Exercise 11 | Exercise 3 | ||

Exercise 4 | Exercise 8 | Exercise 4 | Exercise 4 | Exercise 8 | Exercise 12 | Exercise 4 |

Chapter 17: Group Theory | |||||||||
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17.1 | 17.2 | 17.3 | 17.4 | 17.5 | 17.6 | 17.7 | 17.8 | 17.9 | |

Exercise 1 | Exercise 7 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 |

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 4 | Exercise 4 | Exercise 4 | Exercise 4 | ||||||

Exercise 5 | Exercise 5 | Exercise 5 | |||||||

Exercise 6 | Exercise 6 | Exercise 6 |

Chapter 18: More Special Functions | |||||||||
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18.1 | 18.2 | 18.3 | 18.4 | 18.5 | 18.6 | 18.7 | 18.8 | ||

Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 15 | Exercise 1 | Exercise 1 | Exercise 15 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 16 | Exercise 2 | Exercise 2 | Exercise 16 | Exercise 2 | Exercise 2 |

Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 17 | Exercise 3 | Exercise 3 | Exercise 17 | Exercise 3 | Exercise 3 |

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 18 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | |

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 19 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | |

Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 20 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | |

Exercise 7 | Exercise 7 | Exercise 7 | Exercise 7 | Exercise 21 | Exercise 7 | Exercise 7 | |||

Exercise 8 | Exercise 8 | Exercise 8 | Exercise 22 | Exercise 8 | Exercise 8 | ||||

Exercise 9 | Exercise 9 | Exercise 23 | Exercise 9 | Exercise 9 | |||||

Exercise 10 | Exercise 10 | Exercise 24 | Exercise 10 | Exercise 10 | |||||

Exercise 11 | Exercise 25 | Exercise 11 | Exercise 11 | ||||||

Exercise 12 | Exercise 26 | Exercise 12 | Exercise 12 | ||||||

Exercise 13 | Exercise 27 | Exercise 13 | |||||||

Exercise 14 | Exercise 28 | Exercise 14 |

Chapter 19: Fourier Series | |||||||||
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19.1 | 19.2 | 19.3 | |||||||

Exercise 1 | Exercise 6 | Exercise 11 | Exercise 16 | Exercise 1 | Exercise 6 | Exercise 11 | Exercise 16 | Exercise 21 | Exercise 1 |

Exercise 2 | Exercise 7 | Exercise 12 | Exercise 2 | Exercise 7 | Exercise 12 | Exercise 17 | Exercise 2 | ||

Exercise 3 | Exercise 8 | Exercise 13 | Exercise 3 | Exercise 8 | Exercise 13 | Exercise 18 | Exercise 3 | ||

Exercise 4 | Exercise 9 | Exercise 14 | Exercise 4 | Exercise 9 | Exercise 14 | Exercise 19 | |||

Exercise 5 | Exercise 10 | Exercise 15 | Exercise 5 | Exercise 10 | Exercise 15 | Exercise 20 |

Chapter 20: Integral Transforms | |||||||
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20.2 | 20.3 | 20.4 | 20.5 | 20.6 | |||

Exercise 1 | Exercise 7 | Exercise 13 | Exercise 1 | Exercise 1 | Exercise 7 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 8 | Exercise 14 | Exercise 2 | Exercise 2 | Exercise 8 | Exercise 2 | Exercise 2 |

Exercise 3 | Exercise 9 | Exercise 15 | Exercise 3 | Exercise 3 | Exercise 9 | Exercise 3 | Exercise 3 |

Exercise 4 | Exercise 10 | Exercise 16 | Exercise 4 | Exercise 4 | Exercise 10 | Exercise 4 | |

Exercise 5 | Exercise 11 | Exercise 5 | Exercise 5 | Exercise 11 | |||

Exercise 6 | Exercise 12 | Exercise 6 | Exercise 6 |

Chapter 20: Integral Transforms (cont'd) | |||||||||
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20.7 | 20.8 | 20.9 | 20.10 | ||||||

Exercise 1 | Exercise 7 | Exercise 1 | Exercise 7 | Exercise 13 | Exercise 19 | Exercise 1 | Exercise 1 | Exercise 7 | Exercise 13 |

Exercise 2 | Exercise 8 | Exercise 2 | Exercise 8 | Exercise 14 | Exercise 20 | Exercise 2 | Exercise 2 | Exercise 8 | |

Exercise 3 | Exercise 3 | Exercise 9 | Exercise 15 | Exercise 21 | Exercise 3 | Exercise 3 | Exercise 9 | ||

Exercise 4 | Exercise 4 | Exercise 10 | Exercise 16 | Exercise 22 | Exercise 4 | Exercise 4 | Exercise 10 | ||

Exercise 5 | Exercise 5 | Exercise 11 | Exercise 17 | Exercise 23 | Exercise 5 | Exercise 11 | |||

Exercise 6 | Exercise 6 | Exercise 12 | Exercise 18 | Exercise 24 | Exercise 6 | Exercise 12 |

Chapter 21: Integral Equations | ||||||||
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21.1 | 21.2 | 21.3 | 21.4 | |||||

Exercise 1 | Exercise 1 | Exercise 5 | Exercise 9 | Exercise 13 | Exercise 17 | Exercise 1 | Exercise 1 | Exercise 5 |

Exercise 2 | Exercise 2 | Exercise 6 | Exercise 10 | Exercise 14 | Exercise 2 | Exercise 2 | Exercise 6 | |

Exercise 3 | Exercise 3 | Exercise 7 | Exercise 11 | Exercise 15 | Exercise 3 | Exercise 3 | Exercise 7 | |

Exercise 4 | Exercise 4 | Exercise 8 | Exercise 12 | Exercise 16 | Exercise 4 | Exercise 4 | Exercise 8 |

Chapter 22: Calculus of Variations | |||||||||
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22.1 | 22.2 | 22.3 | 22.4 | ||||||

Exercise 1 | Exercise 6 | Exercise 11 | Exercise 1 | Exercise 6 | Exercise 1 | Exercise 6 | Exercise 1 | Exercise 6 | Exercise 11 |

Exercise 2 | Exercise 7 | Exercise 12 | Exercise 2 | Exercise 7 | Exercise 2 | Exercise 7 | Exercise 2 | Exercise 7 | |

Exercise 3 | Exercise 8 | Exercise 13 | Exercise 3 | Exercise 8 | Exercise 3 | Exercise 3 | Exercise 8 | ||

Exercise 4 | Exercise 9 | Exercise 14 | Exercise 4 | Exercise 9 | Exercise 4 | Exercise 4 | Exercise 9 | ||

Exercise 5 | Exercise 10 | Exercise 15 | Exercise 5 | Exercise 10 | Exercise 5 | Exercise 5 | Exercise 10 |

Chapter 23: Probability and Statistics | |||||||||
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23.1 | 23.2 | 23.3 | 23.4 | 23.5 | 23.6 | 23.7 | |||

Exercise 1 | Exercise 7 | Exercise 1 | Exercise 7 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 7 | Exercise 1 |

Exercise 2 | Exercise 8 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 8 | Exercise 2 | |

Exercise 3 | Exercise 9 | 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 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | ||||

Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 |