A Guided Tour of Mathematical Methods: For the Physical SciencesCambridge University Press, 14 มิ.ย. 2001 - 429 หน้า Mathematical methods are essential tools for all physical scientists. This novel textbook provides a comprehensive guided tour of the mathematical knowledge and techniques needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are very well integrated. In this way the mathematical insights that the students acquire are driven by their physical insight. Topics that are covered include vector calculus (div, grad, curl, Laplacian), linear algebra, Fourier analysis, scale analysis, Green's functions, normal modes, tensor calculus and perturbation theory. This book can be used by undergraduates or by lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks. This guided tour of mathematical techniques is instructive, applied, and even fun. |
เนื้อหา
I | 1 |
II | 4 |
III | 9 |
IV | 12 |
V | 14 |
VI | 19 |
VIII | 23 |
IX | 24 |
LXXX | 196 |
LXXXI | 200 |
LXXXIII | 204 |
LXXXIV | 206 |
LXXXV | 207 |
LXXXVI | 208 |
LXXXVII | 211 |
LXXXVIII | 214 |
X | 28 |
XI | 30 |
XII | 33 |
XIV | 37 |
XV | 40 |
XVI | 42 |
XVII | 45 |
XVIII | 48 |
XIX | 52 |
XXI | 53 |
XXII | 56 |
XXIII | 57 |
XXIV | 59 |
XXV | 64 |
XXVI | 65 |
XXVII | 67 |
XXVIII | 68 |
XXIX | 70 |
XXX | 71 |
XXXI | 74 |
XXXIII | 75 |
XXXIV | 77 |
XXXV | 80 |
XXXVI | 83 |
XXXVIII | 86 |
XXXIX | 88 |
XL | 89 |
XLI | 91 |
XLII | 95 |
XLIII | 99 |
XLIV | 103 |
XLV | 106 |
XLVI | 110 |
XLVII | 112 |
XLVIII | 114 |
XLIX | 115 |
L | 116 |
LI | 119 |
LIII | 121 |
LIV | 122 |
LV | 126 |
LVI | 131 |
LVII | 133 |
LVIII | 135 |
LIX | 138 |
LX | 139 |
LXI | 141 |
LXII | 144 |
LXIII | 147 |
LXIV | 151 |
LXV | 154 |
LXVI | 158 |
LXVIII | 162 |
LXIX | 164 |
LXX | 169 |
LXXI | 171 |
LXXII | 174 |
LXXIII | 177 |
LXXIV | 181 |
LXXV | 186 |
LXXVI | 190 |
LXXVII | 192 |
LXXVIII | 193 |
LXXIX | 194 |
LXXXIX | 217 |
XC | 221 |
XCI | 223 |
XCII | 227 |
XCIII | 231 |
XCIV | 232 |
XCV | 236 |
XCVII | 237 |
XCVIII | 241 |
XCIX | 244 |
C | 249 |
CII | 254 |
CIII | 255 |
CIV | 258 |
CV | 261 |
CVI | 266 |
CVII | 269 |
CVIII | 273 |
CIX | 277 |
CX | 283 |
CXI | 289 |
CXII | 290 |
CXIII | 292 |
CXIV | 295 |
CXV | 301 |
CXVI | 305 |
CXVII | 308 |
CXVIII | 312 |
CXIX | 318 |
CXX | 323 |
CXXI | 326 |
CXXII | 331 |
CXXIII | 333 |
CXXIV | 334 |
CXXV | 337 |
CXXVI | 339 |
CXXVII | 343 |
CXXVIII | 347 |
CXXIX | 351 |
CXXX | 354 |
CXXXI | 356 |
CXXXIII | 359 |
CXXXIV | 362 |
CXXXV | 366 |
CXXXVI | 368 |
CXXXVII | 370 |
CXXXVIII | 372 |
CXXXIX | 375 |
CXL | 377 |
CXLI | 379 |
CXLII | 382 |
CXLIII | 384 |
CXLIV | 388 |
CXLV | 389 |
CXLVI | 393 |
CXLVII | 398 |
CXLVIII | 401 |
CXLIX | 404 |
CL | 408 |
CLI | 409 |
CLII | 414 |
416 | |
423 | |
ฉบับอื่นๆ - ดูทั้งหมด
A Guided Tour of Mathematical Methods: For the Physical Sciences Roel Snieder ชมบางส่วนของหนังสือ - 2001 |
คำและวลีที่พบบ่อย
basis vectors Bessel functions boundary conditions Cartesian coefficient complex components compute consider constant contour coordinate system coordinate transform Coriolis force curl defined delta function denoted depends derive differential equation dipole Earth eigenvalues eigenvectors electric field energy equal to zero example expression filter flow fluid force Fourier transform frequency domain given gradient gravitational field Green's function heat heat equation Helmholtz equation implies inner product integral Laplacian layer linear magnetic field mass mathematical matrix means medium motion nonzero normal modes orthogonal oscillator particle physical potential Problem f propagate radius relation result right hand side rotation Schrödinger equation shown in figure soap film solution solve sphere spherical coordinates spherical harmonics summation surface Taylor series tensor of rank term theory tion unit vector vanishes variable vector field velocity volume wavenumber waves written z-axis