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Solutions to Math Methods for Physics and Engineering 3e by Riley
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| Chapter 1: Preliminary algebra |
| Exercise 1.1 |
Exercise 1.2 |
Exercise 1.3 |
Exercise 1.4 |
Exercise 1.5 |
Exercise 1.6 |
Exercise 1.7 |
Exercise 1.8 |
Exercise 1.9 |
| Exercise 1.10 |
Exercise 1.11 |
Exercise 1.12 |
Exercise 1.13 |
Exercise 1.14 |
Exercise 1.15 |
Exercise 1.16 |
Exercise 1.17 |
Exercise 1.18 |
| Exercise 1.19 |
Exercise 1.20 |
Exercise 1.21 |
Exercise 1.22 |
Exercise 1.23 |
Exercise 1.24 |
Exercise 1.25 |
Exercise 1.26 |
Exercise 1.27 |
| Exercise 1.28 |
Exercise 1.29 |
Exercise 1.30 |
Exercise 1.31 |
Exercise 1.32 |
Exercise 1.33 |
|
|
|
| Chapter 2: Preliminary calculus |
| Exercise 2.1 |
Exercise 2.2 |
Exercise 2.3 |
Exercise 2.4 |
Exercise 2.5 |
Exercise 2.6 |
Exercise 2.7 |
Exercise 2.8 |
Exercise 2.9 |
| Exercise 2.10 |
Exercise 2.11 |
Exercise 2.12 |
Exercise 2.13 |
Exercise 2.14 |
Exercise 2.15 |
Exercise 2.16 |
Exercise 2.17 |
Exercise 2.18 |
| Exercise 2.19 |
Exercise 2.20 |
Exercise 2.21 |
Exercise 2.22 |
Exercise 2.23 |
Exercise 2.24 |
Exercise 2.25 |
Exercise 2.26 |
Exercise 2.27 |
| Exercise 2.28 |
Exercise 2.29 |
Exercise 2.30 |
Exercise 2.31 |
Exercise 2.32 |
Exercise 2.33 |
Exercise 2.34 |
Exercise 2.35 |
Exercise 2.36 |
| Exercise 2.37 |
Exercise 2.38 |
Exercise 2.39 |
Exercise 2.40 |
Exercise 2.41 |
Exercise 2.42 |
Exercise 2.43 |
Exercise 2.44 |
Exercise 2.45 |
| Exercise 2.46 |
Exercise 2.47 |
Exercise 2.48 |
Exercise 2.49 |
Exercise 2.50 |
|
|
|
|
| Chapter 3: Complex numbers and hyperbolic functions |
| Exercise 3.1 |
Exercise 3.2 |
Exercise 3.3 |
Exercise 3.4 |
Exercise 3.5 |
Exercise 3.6 |
Exercise 3.7 |
Exercise 3.8 |
| Exercise 3.9 |
Exercise 3.10 |
Exercise 3.11 |
Exercise 3.12 |
Exercise 3.13 |
Exercise 3.14 |
Exercise 3.15 |
Exercise 3.16 |
| Exercise 3.17 |
Exercise 3.18 |
Exercise 3.19 |
Exercise 3.20 |
Exercise 3.21 |
Exercise 3.22 |
Exercise 3.23 |
Exercise 3.24 |
| Exercise 3.25 |
Exercise 3.26 |
Exercise 3.27 |
Exercise 3.28 |
|
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|
|
| Chapter 4: Series and limits |
| Exercise 4.1 |
Exercise 4.2 |
Exercise 4.3 |
Exercise 4.4 |
Exercise 4.5 |
Exercise 4.6 |
Exercise 4.7 |
Exercise 4.8 |
Exercise 4.9 |
| Exercise 4.10 |
Exercise 4.11 |
Exercise 4.12 |
Exercise 4.13 |
Exercise 4.14 |
Exercise 4.15 |
Exercise 4.16 |
Exercise 4.17 |
Exercise 4.18 |
| Exercise 4.19 |
Exercise 4.20 |
Exercise 4.21 |
Exercise 4.22 |
Exercise 4.23 |
Exercise 4.24 |
Exercise 4.25 |
Exercise 4.26 |
Exercise 4.27 |
| Exercise 4.28 |
Exercise 4.29 |
Exercise 4.30 |
Exercise 4.31 |
Exercise 4.32 |
Exercise 4.33 |
Exercise 4.34 |
Exercise 4.35 |
Exercise 4.36 |
| Chapter 5: Partial differentiation |
| Exercise 5.1 |
Exercise 5.2 |
Exercise 5.3 |
Exercise 5.4 |
Exercise 5.5 |
Exercise 5.6 |
Exercise 5.7 |
Exercise 5.8 |
Exercise 5.9 |
| Exercise 5.10 |
Exercise 5.11 |
Exercise 5.12 |
Exercise 5.13 |
Exercise 5.14 |
Exercise 5.15 |
Exercise 5.16 |
Exercise 5.17 |
Exercise 5.18 |
| Exercise 5.19 |
Exercise 5.20 |
Exercise 5.21 |
Exercise 5.22 |
Exercise 5.23 |
Exercise 5.24 |
Exercise 5.25 |
Exercise 5.26 |
Exercise 5.27 |
| Exercise 5.28 |
Exercise 5.29 |
Exercise 5.30 |
Exercise 5.31 |
Exercise 5.32 |
Exercise 5.33 |
Exercise 5.34 |
Exercise 5.35 |
|
| Chapter 6: Multiple integrals |
| Exercise 6.1 |
Exercise 6.2 |
Exercise 6.3 |
Exercise 6.4 |
Exercise 6.5 |
Exercise 6.6 |
Exercise 6.7 |
Exercise 6.8 |
| Exercise 6.9 |
Exercise 6.10 |
Exercise 6.11 |
Exercise 6.12 |
Exercise 6.13 |
Exercise 6.14 |
Exercise 6.15 |
Exercise 6.16 |
| Exercise 6.17 |
Exercise 6.18 |
Exercise 6.19 |
Exercise 6.20 |
Exercise 6.21 |
Exercise 6.22 |
Exercise 6.23 |
|
| Chapter 7: Vector algebra |
| Exercise 7.1 |
Exercise 7.2 |
Exercise 7.3 |
Exercise 7.4 |
Exercise 7.5 |
Exercise 7.6 |
Exercise 7.7 |
Exercise 7.8 |
Exercise 7.9 |
| Exercise 7.10 |
Exercise 7.11 |
Exercise 7.12 |
Exercise 7.13 |
Exercise 7.14 |
Exercise 7.15 |
Exercise 7.16 |
Exercise 7.17 |
Exercise 7.18 |
| Exercise 7.19 |
Exercise 7.20 |
Exercise 7.21 |
Exercise 7.22 |
Exercise 7.23 |
Exercise 7.24 |
Exercise 7.25 |
Exercise 7.26 |
Exercise 7.27 |
| Chapter 8: Matrices and vector spaces |
| Exercise 8.1 |
Exercise 8.2 |
Exercise 8.3 |
Exercise 8.4 |
Exercise 8.5 |
Exercise 8.6 |
Exercise 8.7 |
Exercise 8.8 |
Exercise 8.9 |
| Exercise 8.10 |
Exercise 8.11 |
Exercise 8.12 |
Exercise 8.13 |
Exercise 8.14 |
Exercise 8.15 |
Exercise 8.16 |
Exercise 8.17 |
Exercise 8.18 |
| Exercise 8.19 |
Exercise 8.20 |
Exercise 8.21 |
Exercise 8.22 |
Exercise 8.23 |
Exercise 8.24 |
Exercise 8.25 |
Exercise 8.26 |
Exercise 8.27 |
| Exercise 8.28 |
Exercise 8.29 |
Exercise 8.30 |
Exercise 8.31 |
Exercise 8.32 |
Exercise 8.33 |
Exercise 8.34 |
Exercise 8.35 |
Exercise 8.36 |
| Exercise 8.37 |
Exercise 8.38 |
Exercise 8.39 |
Exercise 8.40 |
Exercise 8.41 |
Exercise 8.42 |
Exercise 8.43 |
|
|
| Chapter 9: Normal modes |
| Exercise 9.1 |
Exercise 9.2 |
Exercise 9.3 |
Exercise 9.4 |
Exercise 9.5 |
| Exercise 9.6 |
Exercise 9.7 |
Exercise 9.8 |
Exercise 9.9 |
Exercise 9.10 |
| Chapter 10: Vector calculus |
| Exercise 10.1 |
Exercise 10.2 |
Exercise 10.3 |
Exercise 10.4 |
Exercise 10.5 |
Exercise 10.6 |
Exercise 10.7 |
Exercise 10.8 |
| Exercise 10.9 |
Exercise 10.10 |
Exercise 10.11 |
Exercise 10.12 |
Exercise 10.13 |
Exercise 10.14 |
Exercise 10.15 |
Exercise 10.16 |
| Exercise 10.17 |
Exercise 10.18 |
Exercise 10.19 |
Exercise 10.20 |
Exercise 10.21 |
Exercise 10.22 |
Exercise 10.23 |
Exercise 10.24 |
| Chapter 11: Line, surface and volume integrals |
| Exercise 11.1 |
Exercise 11.2 |
Exercise 11.3 |
Exercise 11.4 |
Exercise 11.5 |
Exercise 11.6 |
Exercise 11.7 |
| Exercise 11.8 |
Exercise 11.9 |
Exercise 11.10 |
Exercise 11.11 |
Exercise 11.12 |
Exercise 11.13 |
Exercise 11.14 |
| Exercise 11.15 |
Exercise 11.16 |
Exercise 11.17 |
Exercise 11.18 |
Exercise 11.19 |
Exercise 11.20 |
Exercise 11.21 |
| Exercise 11.22 |
Exercise 11.23 |
Exercise 11.24 |
Exercise 11.25 |
Exercise 11.26 |
Exercise 11.27 |
Exercise 11.28 |
| Chapter 12: Fourier series |
| Exercise 12.1 |
Exercise 12.2 |
Exercise 12.3 |
Exercise 12.4 |
Exercise 12.5 |
Exercise 12.6 |
Exercise 12.7 |
| Exercise 12.8 |
Exercise 12.9 |
Exercise 12.10 |
Exercise 12.11 |
Exercise 12.12 |
Exercise 12.13 |
Exercise 12.14 |
| Exercise 12.15 |
Exercise 12.16 |
Exercise 12.17 |
Exercise 12.18 |
Exercise 12.19 |
Exercise 12.20 |
Exercise 12.21 |
| Exercise 12.22 |
Exercise 12.23 |
Exercise 12.24 |
Exercise 12.25 |
Exercise 12.26 |
|
|
| Chapter 13: Integral transform |
| Exercise 13.1 |
Exercise 13.2 |
Exercise 13.3 |
Exercise 13.4 |
Exercise 13.5 |
Exercise 13.6 |
Exercise 13.7 |
| Exercise 13.8 |
Exercise 13.9 |
Exercise 13.10 |
Exercise 13.11 |
Exercise 13.12 |
Exercise 13.13 |
Exercise 13.14 |
| Exercise 13.15 |
Exercise 13.16 |
Exercise 13.17 |
Exercise 13.18 |
Exercise 13.19 |
Exercise 13.20 |
Exercise 13.21 |
| Exercise 13.22 |
Exercise 13.23 |
Exercise 13.24 |
Exercise 13.25 |
Exercise 13.26 |
Exercise 13.27 |
Exercise 13.28 |
| Chapter 14: First-order ordinary differential equations |
| Exercise 14.1 |
Exercise 14.2 |
Exercise 14.3 |
Exercise 14.4 |
Exercise 14.5 |
Exercise 14.6 |
Exercise 14.7 |
Exercise 14.8 |
| Exercise 14.9 |
Exercise 14.10 |
Exercise 14.11 |
Exercise 14.12 |
Exercise 14.13 |
Exercise 14.14 |
Exercise 14.15 |
Exercise 14.16 |
| Exercise 14.17 |
Exercise 14.18 |
Exercise 14.19 |
Exercise 14.20 |
Exercise 14.21 |
Exercise 14.22 |
Exercise 14.23 |
Exercise 14.24 |
| Exercise 14.25 |
Exercise 14.26 |
Exercise 14.27 |
Exercise 14.28 |
Exercise 14.29 |
Exercise 14.30 |
Exercise 14.31 |
|
| Chapter 15: Higher-order ordinary differential equations |
| Exercise 15.1 |
Exercise 15.2 |
Exercise 15.3 |
Exercise 15.4 |
Exercise 15.5 |
Exercise 15.6 |
Exercise 15.7 |
Exercise 15.8 |
| Exercise 15.9 |
Exercise 15.10 |
Exercise 15.11 |
Exercise 15.12 |
Exercise 15.13 |
Exercise 15.14 |
Exercise 15.15 |
Exercise 15.16 |
| Exercise 15.17 |
Exercise 15.18 |
Exercise 15.19 |
Exercise 15.20 |
Exercise 15.21 |
Exercise 15.22 |
Exercise 15.23 |
Exercise 15.24 |
| Exercise 15.25 |
Exercise 15.26 |
Exercise 15.27 |
Exercise 15.28 |
Exercise 15.29 |
Exercise 15.30 |
Exercise 15.31 |
Exercise 15.32 |
| Exercise 15.33 |
Exercise 15.34 |
Exercise 15.35 |
Exercise 15.36 |
Exercise 15.37 |
|
|
|
| Chapter 16: Series solutions of ordinary differential equations |
| Exercise 16.1 |
Exercise 16.2 |
Exercise 16.3 |
Exercise 16.4 |
Exercise 16.5 |
Exercise 16.6 |
Exercise 16.7 |
Exercise 16.8 |
| Exercise 16.9 |
Exercise 16.10 |
Exercise 16.11 |
Exercise 16.12 |
Exercise 16.13 |
Exercise 16.14 |
Exercise 16.15 |
Exercise 16.16 |
| Chapter 17: Eigenfunction methods for differential equations |
| Exercise 17.1 |
Exercise 17.2 |
Exercise 17.3 |
Exercise 17.4 |
Exercise 17.5 |
Exercise 17.6 |
Exercise 17.7 |
Exercise 17.8 |
| Exercise 17.9 |
Exercise 17.10 |
Exercise 17.11 |
Exercise 17.12 |
Exercise 17.13 |
Exercise 17.14 |
Exercise 17.15 |
|
| Chapter 18: Special functions |
| Exercise 18.1 |
Exercise 18.2 |
Exercise 18.3 |
Exercise 18.4 |
Exercise 18.5 |
Exercise 18.6 |
Exercise 18.7 |
Exercise 18.8 |
| Exercise 18.9 |
Exercise 18.10 |
Exercise 18.11 |
Exercise 18.12 |
Exercise 18.13 |
Exercise 18.14 |
Exercise 18.15 |
Exercise 18.16 |
| Exercise 18.17 |
Exercise 18.18 |
Exercise 18.19 |
Exercise 18.20 |
Exercise 18.21 |
Exercise 18.22 |
Exercise 18.23 |
Exercise 18.24 |
| Chapter 19: Quantum operators |
| Exercise 19.1 |
Exercise 19.2 |
Exercise 19.3 |
Exercise 19.4 |
Exercise 19.5 |
| Exercise 19.6 |
Exercise 19.7 |
Exercise 19.8 |
Exercise 19.9 |
Exercise 19.10 |
| Chapter 20: Partial differential equations: general and particular solutions |
| Exercise 20.1 |
Exercise 20.2 |
Exercise 20.3 |
Exercise 20.4 |
Exercise 20.5 |
Exercise 20.6 |
Exercise 20.7 |
| Exercise 20.9 |
Exercise 20.8 |
Exercise 20.10 |
Exercise 20.11 |
Exercise 20.12 |
Exercise 20.13 |
Exercise 20.14 |
| Exercise 20.15 |
Exercise 20.16 |
Exercise 20.17 |
Exercise 20.18 |
Exercise 20.19 |
Exercise 20.20 |
Exercise 20.21 |
| Exercise 20.22 |
Exercise 20.23 |
Exercise 20.24 |
Exercise 20.25 |
|
|
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| Chapter 21: Partial differential equations: separation of variables and other methods |
| Exercise 21.1 |
Exercise 21.2 |
Exercise 21.3 |
Exercise 21.4 |
Exercise 21.5 |
Exercise 21.6 |
Exercise 21.7 |
| Exercise 21.9 |
Exercise 21.8 |
Exercise 21.10 |
Exercise 21.11 |
Exercise 21.12 |
Exercise 21.13 |
Exercise 21.14 |
| Exercise 21.15 |
Exercise 21.16 |
Exercise 21.17 |
Exercise 21.18 |
Exercise 21.19 |
Exercise 21.20 |
Exercise 21.21 |
| Exercise 21.22 |
Exercise 21.23 |
Exercise 21.24 |
Exercise 21.25 |
Exercise 21.26 |
Exercise 21.27 |
Exercise 21.28 |
| Chapter 22: Calculus of variations |
| Exercise 22.1 |
Exercise 22.2 |
Exercise 22.3 |
Exercise 22.4 |
Exercise 22.5 |
Exercise 22.6 |
Exercise 22.7 |
Exercise 22.8 |
| Exercise 22.9 |
Exercise 22.10 |
Exercise 22.11 |
Exercise 22.12 |
Exercise 22.13 |
Exercise 22.14 |
Exercise 22.15 |
Exercise 22.16 |
| Exercise 22.17 |
Exercise 22.18 |
Exercise 22.19 |
Exercise 22.20 |
Exercise 22.21 |
Exercise 22.22 |
Exercise 22.23 |
Exercise 22.24 |
| Exercise 22.25 |
Exercise 22.26 |
Exercise 22.27 |
Exercise 22.28 |
Exercise 22.29 |
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|
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| Chapter 23: Integral equations |
| Exercise 23.1 |
Exercise 23.2 |
Exercise 23.3 |
Exercise 23.4 |
Exercise 23.5 |
Exercise 23.6 |
Exercise 23.7 |
Exercise 23.8 |
| Exercise 23.9 |
Exercise 23.10 |
Exercise 23.11 |
Exercise 23.12 |
Exercise 23.13 |
Exercise 23.14 |
Exercise 23.15 |
Exercise 23.16 |
| Chapter 24: Complex variables |
| Exercise 24.1 |
Exercise 24.2 |
Exercise 24.3 |
Exercise 24.4 |
Exercise 24.5 |
Exercise 24.6 |
Exercise 24.7 |
Exercise 24.8 |
| Exercise 24.9 |
Exercise 24.10 |
Exercise 24.11 |
Exercise 24.12 |
Exercise 24.13 |
Exercise 24.14 |
Exercise 24.15 |
Exercise 24.16 |
| Exercise 24.17 |
Exercise 24.18 |
Exercise 24.19 |
Exercise 24.20 |
Exercise 24.21 |
Exercise 24.22 |
|
|
| Chapter 25: Applications of complex variables |
| Exercise 25.1 |
Exercise 25.2 |
Exercise 25.3 |
Exercise 25.4 |
Exercise 25.5 |
Exercise 25.6 |
Exercise 25.7 |
Exercise 25.8 |
| Exercise 25.9 |
Exercise 25.10 |
Exercise 25.11 |
Exercise 25.12 |
Exercise 25.13 |
Exercise 25.14 |
Exercise 25.15 |
Exercise 25.16 |
| Exercise 25.17 |
Exercise 25.18 |
Exercise 25.19 |
Exercise 25.20 |
Exercise 25.21 |
Exercise 25.22 |
Exercise 25.23 |
|
| Chapter 26: Tensors |
| Exercise 26.1 |
Exercise 26.2 |
Exercise 26.3 |
Exercise 26.4 |
Exercise 26.5 |
Exercise 26.6 |
Exercise 26.7 |
Exercise 26.8 |
| Exercise 26.9 |
Exercise 26.10 |
Exercise 26.11 |
Exercise 26.12 |
Exercise 26.13 |
Exercise 26.14 |
Exercise 26.15 |
Exercise 26.16 |
| Exercise 26.17 |
Exercise 26.18 |
Exercise 26.19 |
Exercise 26.20 |
Exercise 26.21 |
Exercise 26.22 |
Exercise 26.23 |
Exercise 26.24 |
| Exercise 26.25 |
Exercise 26.26 |
Exercise 26.27 |
Exercise 26.28 |
Exercise 26.29 |
|
|
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| Chapter 27: Numerical methods |
| Exercise 27.1 |
Exercise 27.2 |
Exercise 27.3 |
Exercise 27.4 |
Exercise 27.5 |
Exercise 27.6 |
Exercise 27.7 |
| Exercise 27.9 |
Exercise 27.8 |
Exercise 27.10 |
Exercise 27.11 |
Exercise 27.12 |
Exercise 27.13 |
Exercise 27.14 |
| Exercise 27.15 |
Exercise 27.16 |
Exercise 27.17 |
Exercise 27.18 |
Exercise 27.19 |
Exercise 27.20 |
Exercise 27.21 |
| Exercise 27.22 |
Exercise 27.23 |
Exercise 27.24 |
Exercise 27.25 |
Exercise 27.26 |
Exercise 27.27 |
|
| Chapter 28: Group theory |
| Exercise 28.1 |
Exercise 28.2 |
Exercise 28.3 |
Exercise 28.4 |
Exercise 28.5 |
Exercise 28.6 |
Exercise 28.7 |
Exercise 28.8 |
| Exercise 28.9 |
Exercise 28.10 |
Exercise 28.11 |
Exercise 28.12 |
Exercise 28.13 |
Exercise 28.14 |
Exercise 28.15 |
Exercise 28.16 |
| Exercise 28.17 |
Exercise 28.18 |
Exercise 28.19 |
Exercise 28.20 |
Exercise 28.21 |
Exercise 28.22 |
Exercise 28.23 |
|
| Chapter 29: Representation theory |
| Exercise 29.1 |
Exercise 29.2 |
Exercise 29.3 |
Exercise 29.4 |
Exercise 29.5 |
Exercise 29.6 |
Exercise 29.7 |
| Exercise 29.9 |
Exercise 29.8 |
Exercise 29.10 |
Exercise 29.11 |
Exercise 29.12 |
Exercise 29.13 |
|
| Chapter 30: Probability |
| Exercise 30.1 |
Exercise 30.2 |
Exercise 30.3 |
Exercise 30.4 |
Exercise 30.5 |
Exercise 30.6 |
Exercise 30.7 |
Exercise 30.8 |
| Exercise 30.9 |
Exercise 30.10 |
Exercise 30.11 |
Exercise 30.12 |
Exercise 30.13 |
Exercise 30.14 |
Exercise 30.15 |
Exercise 30.16 |
| Exercise 30.17 |
Exercise 30.18 |
Exercise 30.19 |
Exercise 30.20 |
Exercise 30.21 |
Exercise 30.22 |
Exercise 30.23 |
Exercise 30.24 |
| Exercise 30.25 |
Exercise 30.26 |
Exercise 30.27 |
Exercise 30.28 |
Exercise 30.29 |
Exercise 30.30 |
Exercise 30.31 |
Exercise 30.32 |
| Exercise 30.33 |
Exercise 30.34 |
Exercise 30.35 |
Exercise 30.36 |
Exercise 30.37 |
Exercise 30.38 |
Exercise 30.39 |
Exercise 30.40 |
| Chapter 31: Statistics |
| Exercise 31.1 |
Exercise 31.2 |
Exercise 31.3 |
Exercise 31.4 |
Exercise 31.5 |
Exercise 31.6 |
Exercise 31.7 |
| Exercise 31.8 |
Exercise 31.9 |
Exercise 31.10 |
Exercise 31.11 |
Exercise 31.12 |
Exercise 31.13 |
Exercise 31.14 |
| Exercise 31.15 |
Exercise 31.16 |
Exercise 31.17 |
Exercise 31.18 |
Exercise 31.19 |
Exercise 31.20 |
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