Mathematical Tools for Physics - Department of Physics - University

Index 436

Spiderman, 50√
2 , 135
square-integrable, 124, 126
stable distribution, 428
stainless steel, 262
Stallone, 188
steady-state, 83, 98
step function, 413, 415
sterradian, 200
Stirling’s formula, 31, 47, 198
stock market, 100
Stokes’ Theorem, 225, 332, 335
straight line, 387
strain, 217
stress, 298
stress-strain, 296
string, 139
Sturm-Liouville, 106, 264
subspace, 338
sum of cosines, 64
Sumerians, 1
summation by parts, 14
summation convention, 167, 174, 230, 308
sun, 238
superposition, 253
surface integral, 214, 216, 333, 335, 336
closed 218
examples 214
symmetric, 170, 302, 337

• tails, 7
  tanh, 2
  Taylor series, 25, 350, 352, 366
  telescoping series, 47, 119
  temperature, 199
  gradient 390
  distribution 247, 250
  expansion 383
  of slab 245
  oscillation 246
  profile 245
  tensor, 143, 218, 295
  component 299
  contravariant components 309
  field 312
  inertia 148–151, 162, 173, 294, 297, 302,
  322
  metric 298, 317, 319
  rank 297, 298, 302, 303, 309
  stress 298, 312
  totally antisymmetric 303
  transpose 301

terminal speed, 40

test function, 415, 417

tetrahedron, 346

Texas A&M, 124

thermal expansion, 383

θ(x), 413

thin lens, 404

time average, 114

time of travel, 326

torque, 144, 162

tough integral, 42

trace, 131, 159, 177

trajectory, 39

transformation, 143

area 156

basis 317

composition 161

determinant 156, 323

electromagnetic field 320, 323

linear 146

Lorentz 318–319, 320

matrix 318

similarity 143, 165, 166, 167, 176

transient, 83

transport theorem, 336

transpose, 301, 302

trapezoidal integration, 274, 394

triangle area, 15, 20

triangle inequality, 129, 134

trigonometric identities, 55, 58

trigonometry, 1

triple scalar product, 240

• uncountable sum, 139
  unitary, 170


• 
  

  variance, 282, 286, 287, 291, 411, 426
  variational approximation, 392
  vector space, 123– 124 , 134, 195, 311, 337, 412
  axioms 124
  basis 127
  dimension 127
  examples 124, 130, 138
  not 126, 129
  scalar product 130
  subspace 127
  theorems 140