Mathematical Tools for Physics

Index 477

snowplow, 113
Sobolev, 165
solenoid, 225
solid angle, 233 , 235
space, 380
specific heat, 208, 283
spectral density, 464
Spiderman, 64√

2 , 158
square-integrable, 144, 147
stainless steel, 308
Stallone, 218
sterradian, 234
Stirling’s formula, 40 , 59, 232
stock market, 118
Stokes’ Theorem, 405, 409
strain, 255
stress, 359
stress-strain, 356
string, 162
Sturm-Liouville, 311
sum of cosines, 80
Sumerians, 1
summation by parts, 19
summation convention, 196 , 204, 271, 374
sun, 278
superposition, 298
surface integral, 249, 252, 405, 409, 411
closed 256
examples 250
symmetric, 370
.

tails, 10

Taylor series, 32, 423, 425, 445

telescoping series, 59, 138

temperature, 232

distribution 290, 294

of slab 286

oscillation 288

profile 288

tensor, 168, 255, 355

component 361

contravariant components 375

field 381

inertia 171, 176–180, 189, 202, 354, 359,

370, 392

metric 360, 386, 389

rank 359 , 360, 371, 372, 375

stress 359 , 381

totally antisymmetric 371

transpose 369

Texas A&M, 143

time average, 132

time of travel, 398

torque, 170, 189

tough integral, 54

trace, 154

transformation, 168

area 185

basis 367, 386

composition 187

determinant 185, 393

electromagnetic field 390, 391, 394

linear 172

Lorentz 388–389, 391

matrix 387

orthogonal 377

similarity 168, 193, 194 , 195, 206

transport theorem, 411