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Olver P.J., Shakiban C. — Applied linear. algebra
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Название: Applied linear. algebraАвторы: Olver P.J., Shakiban C. Аннотация: Applied mathematics rests on two central pillars: calculus and linear algebra. While calculus has its roots in the universal laws of Newtonian physics, linear algebra arises from a much more mundane issue: the need to solve simple systems of linear algebraic equations. Despite its humble origins, linear algebra ends up playing a comparably profound role in both applied and theoretical mathematics, as well as in all of science and engineering, computer science, probability and statistics, economics, numerical analysis, mathematical biology, and many other disciplines. Nowadays, a proper grounding in both calculus and linear algebra is an essential prerequisite for a successful career in science, engineering, and mathematics.
Язык: Рубрика: Математика /Серия: Сделано в холле Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 714Добавлена в каталог: 04.06.2011Операции: Положить на полку |
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Предметный указатель
QR algorithm 235 572 580 QR factorization 241 243 575 Quadrant 83 Quadratic eigenvalue 527 Quadratic equation 65 Quadratic form 88 154 163 422 463 Quadratic formula 163 Quadratic function 184 185 201 462 641 Quadratic functional 617 Quadratic polynomial 154 Quadratic trigonometric polynomial 92 Quantize 464 510 Quantum dynamics 169 quantum mechanics 11 131 135 169 235 238 248 330 338 344 368 375 419 464 481 635 Quasi-periodic 488 501 507 Quaternion 352 353 Rabbit 517 522 Radial basis function 649 Radial coordinate 370 Radial polynomial 216 Radical 403 Radio 285 Radioactive decay 392 Radioactive isotope 199 Radium 200 Radius spectral 524 528 531 534 535 548 570 Ramp function 600 607 RANGE 107 116 118 194 272 331 370 428 Range finder 208 Rank 62 63 68 98 110 116 125 356 396 426 Ranking page 540 Rate convergence 542 Rate decay 199 Rate sample 279 Ratio golden 518 Rational function 163 202 Rational number 488 Ray light 180 Reactor nuclear 393 REAL 174 378 real addition 288 Real analysis 150 151 596 Real diagonalizable 411 Real multiplication 288 Real number 79 132 170 Real part 174 Real vector space 78 Reciprocal 31 171 Reciprocity relation 312 Recognition 429 Recognition speech 277 391 rectangle 349 Reduced incidence matrix 295 296 306 320 325 499 Reduction of order 377 Refined Gerschgorin domain 539 reflect 422 Reflection 349 347 348 350 360 361 428 Reflection, elementary 239 Reflection, glide 362 Regular 14 18 43 46 71 164 541 576 Regular Gaussian Elimination 14 18 Regular perturbation 640 Regular transition matrix 541 Reinforced structure 323 Relation constitutive 303 586 Relation reciprocity 312 Relativity 180 331 346 363 375 Relativity special 157 Relaxation parameter 558 Removable discontinuity 601 Renaissance 517 Repeated root 456 499 Residual vector 182 562 563 565 Resistance 201 302 303 309 505 506 Resistance less 486 Resistance matrix 303 Resistivity matrix 304 306 310 resistor 303 505 resistors 303 Resonance 502 506 508 resonant frequency 504 Resonant solution ansatz 507 Response 479 501 Result existence 371 Result uniqueness 371 retina 363 Reversal bit 289 Reversal time 449 Riemann integral 594 Right angle 140 218 Right hand side 5 7 14 61 Right inverse 31 345 Right-handed 105 Right-handed basis 105 237 Rigid body mechanics 235 238 Rigid motion 318 320 325 360 481 492 493 495 Ring 614 625 Ring circular 593 Rivet 313 RLC circuit 505 Robot 493 Rod 312 Rodrigues formula 250 266 Rolle's theorem 253 Roller 329 Root 100 116 280 366 368 400 402 403 447 Root of unity 280 285 288 Root, repeated 456 499 Root, square 12 169 421 497 Rotation 313 318 321 333 341 348 360 361 405 420 421 482 493 Rotation matrix 35 347 Rotation, counterclockwise 483 Rotation, hyperbolic 362 Round-off 562 Round-off error 57 233 241 570 Row echelon form 60 62 98 116 118 274 Row interchange 25 28 57 Row space 115 272 Row sum 10 405 543 Row vector 4 44 131 339 Rows 4 44 73 116 339 Rows, orthonormal 427 Rule, chain 209 608 Rule, Simpson's 209 Rule, trapezoid 645 Saddle point 468 471 Salesman traveling 545 Sample point 81 202 277 sample rate 279 Sample value 81 586 Sample vector 82 278 Sampled exponential vector 280 418 Sampled polynomial vector 262 Sampled signal 277 Sampling 261 288 Satellite 235 331 savings account 511 scalar 6 71 80 Scalar affine function 358 Scalar iterative equation 512 Scalar multiplication 6 9 45 78 79 84 332 338 Scaled incidence matrix 586 587 Scaling 482 Scatter plot 513 Scattering theory 635 Scheduling 510 Schroedinger equation 169 Schroedinger operator 419 Schur decomposition 435 Screen 361 363 Screw motion 361 405 484 Search engine 510 Second Derivative Test 185 Second order differential equation 486 Second pivot 13 Segment line 607 642 Self-adjoint 385 413 418 495 615 616 638 Self-adjoint boundary condition 614 Self-adjoint matrix 386 Semantics 391 429 Semi-axes 433 434 Semi-direct method 563 Semi-magic square 106 Semi-simple 408 Separation of variables 248 SEQUENCE 83 144 151 Sequence convergent 88 Serial computer 553 Serial processor 554 Series exponential 476 481 Series power 172 Sesquilinearity 175 176 Set 81 Set, level 465 Set, swing 325 496 Shear 349 350 411 482 Shear factor 349 Shearing transformation 349 Shift map 401 418 Shift phase 91 210 468 486 Shifted inverse power method 522 580 SIGN 73 Sign function 603 signal 285 Signal processing 1 77 104 131 210 217 222 277 Signal sampled 277 Similar 36 74 355 404 412 442 455 578 SIMPLE 402 Simple eigenvalue 397 simplex 328 541 simplification 104 Simply supported end 625 Simpson's 209 Simpson's rule 209 Simultaneously diagonalizable 413 Sine 171 Sine function 211 Single precision 429 singular 23 71 396 Singular perturbation 640 Singular point 367 636 Singular value 426 427 429 432 434 534 Singular value decomposition 427 428 430 432 533 Singular vector 426 SIZE 116 Skeletal fragment 393 Skew field 352 Skew-adjoint 386 Skew-symmetric 11 49 89 417 Skew-symmetric matrix 49 74 386 421 482 Skyscraper 312 Sliding end 625 Smallest eigenvalues 423 Smooth 86 286 630 642 Smooth function 86 Sobolev 144 255 Sobolev 137 Software 58 Solid mechanics 181 Solids 445 586 Solution 2 14 21 24 29 41 64 109 182 546 565 Solution space 446 Solution trajectory 394 Solution, complex 378 Solution, equilibrium 392 448 511 528 617 Solution, exponential 394 Solution, general 109 112 371 446 451 515 Solution, matrix 472 473 Solution, nontrivial 97 Solution, particular 109 112 371 479 Solution, trigonometric 487 Solution, trivial 68 450 Solution, unique 110 Solution, vector 472 SOR 557 641 647 Soundtrack movie 285 Source current 304 Source heat 592 Space column 107 194 272 371 Space curve 634 Space displacement 612 Space domain 331 Space dual 339 Space function 80 81 103 134 213 220 248 265 271 336 Space null 108 272 Space outer 591 Space row 115 272 Space solution 446 Space station 318 328 509 Space strain 612 Space target 382 Space vector 78 82 103 132 331 332 338 Space-time 157 180 span 89 93 94 98 101 102 174 220 Sparks 305 sparse 546 642 Sparse matrix 50 53 Special 237 Special function 235 636 Special lower triangular 17 18 28 40 43 46 60 165 576 Special relativity 157 Special upper triangular 38 43 Spectral decomposition 422 Spectral energy line 419 Spectral factorization 418 Spectral radius 524 528 531 534 535 548 570 Spectral theorem 419 575 Spectrum 419 Speech 429 Speech recognition 277 391 Speed 104 196 448 Sphere 85 635 Sphere, unit 148 150 420 434 530 Spiral 468 Spiral growth 518 SPLINE 53 205 626 630 647 Spline interpolation 55 Spline, cardinal 635 Spline, periodic 633 Spring 112 181 485 497 Spring constants 486 586 Spring stiffnesses 310 Square 4 24 496 Square matrix 31 71 Square root 12 169 421 497 Square truss 509 Square, magic 106 Square, unit 137 Squaresleast 183 196 260 St. Paul 542 Stability 463 506 524 Stability theorem 524 Stabilize 320 Stable 181 325 392 470 487 513 528 616 Stable asymptotically 460 461 470 513 523 524 Stable eigenline 468 Stable equilibria 181 Stable focus 468 471 Stable globally 392 Stable improper node 469
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