Instructor's solutions for Mathematical methods for physics and engineering, 3ed

539 Pages·2006·2.043 MB·English

by  Riley, Hobson.

Instructors’ Solutions
for
Mathematical Methods
for Physics and Engineering
(third edition)
K.F. Riley and M.P. Hobson

Contents
Introduction xvii
1 Preliminary algebra 1
1.2 1
1.4 1
1.6 2
1.8 3
1.10 4
1.12 4
1.14 5
1.16 5
1.18 6
1.20 8
1.22 8
1.24 9
1.26 10
1.28 11
1.30 12
1.32 13
2 Preliminary calculus 15
2.2 15
iii
CONTENTS
2.4 15
2.6 16
2.8 17
2.10 17
2.12 19
2.14 20
2.16 22
2.18 23
2.20 24
2.22 25
2.24 25
2.26 26
2.28 27
2.30 28
2.32 29
2.34 30
2.36 31
2.38 33
2.40 34
2.42 35
2.44 36
2.46 37
2.48 39
2.50 39
3 Complex numbers and hyperbolic functions 43
3.2 43
3.4 44
3.6 45
3.8 46
3.10 47
3.12 49
iv
CONTENTS
3.14 50
3.16 51
3.18 52
3.20 53
3.22 53
3.24 54
3.26 56
3.28 57
4 Series and limits 58
4.2 58
4.4 58
4.6 59
4.8 59
4.10 61
4.12 62
4.14 62
4.16 63
4.18 63
4.20 64
4.22 66
4.24 67
4.26 69
4.28 70
4.30 72
4.32 72
4.34 73
4.36 74
5 Partial differentiation 75
5.2 75
5.4 76
v
CONTENTS
5.6 77
5.8 78
5.10 79
5.12 80
5.14 81
5.16 82
5.18 82
5.20 83
5.22 84
5.24 86
5.26 87
5.28 89
5.30 90
5.32 91
5.34 92
6 Multiple integrals 93
6.2 93
6.4 93
6.6 95
6.8 95
6.10 96
6.12 97
6.14 98
6.16 99
6.18 100
6.20 101
6.22 103
7 Vector algebra 105
7.2 105
7.4 105
vi
CONTENTS
7.6 106
7.8 106
7.10 107
7.12 108
7.14 108
7.16 110
7.18 110
7.20 111
7.22 112
7.24 114
7.26 115
8 Matrices and vector spaces 117
8.2 117
8.4 118
8.6 120
8.8 122
8.10 122
8.12 123
8.14 125
8.16 126
8.18 127
8.20 128
8.22 130
8.24 131
8.26 131
8.28 132
8.30 133
8.32 134
8.34 135
8.36 136
8.38 137
vii
CONTENTS
8.40 139
8.42 140
9 Normal modes 144
9.2 144
9.4 146
9.6 148
9.8 149
9.10 151
10 Vector calculus 153
10.2 153
10.4 154
10.6 155
10.8 156
10.10 157
10.12 158
10.14 159
10.16 161
10.18 161
10.20 164
10.22 165
10.24 167
11 Line, surface and volume integrals 170
11.2 170
11.4 171
11.6 172
11.8 173
11.10 174
11.12 175
11.14 176
11.16 177
viii
CONTENTS
11.18 178
11.20 179
11.22 180
11.24 181
11.26 183
11.28 184
12 Fourier series 186
12.2 186
12.4 186
12.6 187
12.8 189
12.10 190
12.12 191
12.14 192
12.16 193
12.18 194
12.20 195
12.22 197
12.24 198
12.26 199
13 Integral transforms 202
13.2 202
13.4 203
13.6 205
13.8 206
13.10 208
13.12 210
13.14 211
13.16 211
13.18 213
ix
CONTENTS
13.20 214
13.22 216
13.24 217
13.26 219
13.28 220
14 First-order ODEs 223
14.2 223
14.4 224
14.6 224
14.8 225
14.10 226
14.12 227
14.14 228
14.16 228
14.18 229
14.20 230
14.22 232
14.24 233
14.26 234
14.28 235
14.30 236
15 Higher-order ODEs 237
15.2 237
15.4 238
15.6 240
15.8 241
15.10 242
15.12 243
15.14 245
15.16 247
x