## Mathematical Methods for Engineers and Scientists 2: Vector Analysis, Ordinary Differential Equations and Laplace TransformsPedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses. |

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### Contents

I | 3 |

II | 4 |

IV | 5 |

VII | 6 |

VIII | 10 |

IX | 13 |

X | 17 |

XI | 23 |

LXXIII | 182 |

LXXIV | 183 |

LXXV | 185 |

LXXVI | 189 |

LXXVII | 190 |

LXXVIII | 193 |

LXXIX | 195 |

LXXX | 201 |

XIII | 27 |

XIV | 31 |

XV | 34 |

XVI | 36 |

XVIII | 37 |

XIX | 42 |

XX | 47 |

XXI | 51 |

XXIII | 53 |

XXIV | 56 |

XXV | 61 |

XXVI | 62 |

XXVII | 65 |

XXVIII | 69 |

XXIX | 70 |

XXX | 71 |

XXXI | 78 |

XXXII | 79 |

XXXIII | 81 |

XXXIV | 85 |

XXXVI | 86 |

XXXVII | 89 |

XXXVIII | 92 |

XXXIX | 95 |

XL | 98 |

XLI | 101 |

XLII | 104 |

XLIII | 105 |

XLIV | 106 |

XLV | 113 |

XLVI | 116 |

XLVII | 120 |

XLVIII | 122 |

XLIX | 125 |

L | 128 |

LI | 130 |

LII | 133 |

LIII | 138 |

LIV | 139 |

LV | 141 |

LVI | 144 |

LVIII | 145 |

LIX | 147 |

LX | 150 |

LXI | 155 |

LXII | 156 |

LXIII | 158 |

LXIV | 159 |

LXV | 162 |

LXVI | 165 |

LXVII | 169 |

LXVIII | 171 |

LXIX | 174 |

LXX | 176 |

LXXI | 177 |

LXXII | 179 |

LXXXI | 202 |

LXXXII | 204 |

LXXXIII | 205 |

LXXXIV | 207 |

LXXXV | 210 |

LXXXVI | 213 |

LXXXVII | 214 |

LXXXVIII | 216 |

LXXXIX | 217 |

XC | 218 |

XCII | 222 |

XCIII | 229 |

XCIV | 230 |

XCV | 232 |

XCVI | 235 |

XCVII | 236 |

XCVIII | 238 |

XCIX | 241 |

C | 244 |

CI | 247 |

CII | 249 |

CIII | 250 |

CIV | 252 |

CV | 254 |

CVII | 255 |

CVIII | 257 |

CIX | 259 |

CX | 261 |

CXI | 264 |

CXII | 265 |

CXIII | 270 |

CXIV | 274 |

CXV | 275 |

CXVI | 276 |

CXVIII | 278 |

CXIX | 288 |

CXX | 291 |

CXXII | 294 |

CXXIII | 297 |

CXXIV | 302 |

CXXVI | 304 |

CXXVII | 307 |

CXXVIII | 308 |

CXXIX | 309 |

CXXX | 311 |

CXXXI | 312 |

CXXXII | 313 |

CXXXIII | 316 |

CXXXIV | 319 |

CXXXV | 321 |

CXXXVI | 323 |

CXXXVII | 326 |

CXXXVIII | 328 |

333 | |

335 | |

### Other editions - View all

Mathematical Methods for Engineers and Scientists 2: Vector Analysis ... Kwong-Tin Tang Limited preview - 2006 |

Mathematical Methods for Engineers and Scientists 1: Complex ..., Volume 1 Kwong-Tin Tang No preview available - 2010 |

Mathematical Methods for Engineers and Scientists 2: Vector Analysis ... Kwong-Tin Tang No preview available - 2009 |

### Common terms and phrases

angle arbitrary constants axis b x c Cartesian characteristic equation coeﬃcients components coordinate system cos2 cross product curl curve curvilinear coordinates damping deﬁned deﬁnition delta function derivative diﬀerent differential diﬀerential equation direction divergence theorem dot product dt dt dx dy dz equal to zero evaluate Example expressed ﬁeld ﬁnd ﬁrst ﬁxed ﬂow ﬂux force frequency given gradient infinitesimal initial conditions inverse known Laplace transform left-hand line integral magnitude mathematical method motion nonhomogeneous notation operator origin orthogonal oscillator outer product particle particular solution perpendicular plane position vector problem pseudotensor pseudovector roots rotated system rotation matrix scalar function second rank tensor Show solve space speciﬁc spherical coordinates Stokes surface integral unit normal unit vector variable vector field velocity volume written