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Solutions to Mathematical Methods for Physicists 7e by Arfken

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Table of Contents



Chapter 1: Mathematical Preliminaries
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)
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
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
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)
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
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
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
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
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
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


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