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Olver P.J., Shakiban C. — Applied linear. algebra
Olver P.J., Shakiban C. — Applied linear. algebra

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Название: Applied linear. algebra

Авторы: 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: en

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 714

Добавлена в каталог: 04.06.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$LDL^T$ factorization      46 164
$L^1$norm      145
$L^2$ Hermitian inner product      176 619
$L^2$ inner product      134 137 139 592 597 612 638
$L^2$ norm      134 145 265
$L^p$ norm      145
$L^\infty$ norm      145
$\infty$ matrix norm      532
$\infty$ norm      145 196 524
1 norm      145 196
2-norm      145
Absolute row sum      532 550
Absolute value      138
abstract      77
Acceleration      485
Account savings      511
Acute      157
Addition      6 50 78 170 202 338
Addition, complex      288
Addition, matrix      6 9 12 45 79 338
Addition, real      288
Addition, vector      79 84 170
Additive identity      78
Additive inverse      78
Additive unit      8
Adjoint      114 382 413 587 612 639
Adjoint system      382
Adjoint, weighted      383 615
Adjugate      114
Advertising      199
Affine function      332 358 514 546
Affine function, piecewise      642
Affine iterative system      523 546
Affine matrix      360
Affine subspace      89
Affine transformation      485
Air      640
Airplane wing      640
Airy functions      646
Algebra      7 78
Algebra, computer      58
Algebra, linear      77 187 330 583 598
Algebra, matrix      7
Algebra, polynomial      80
Algebraic function      163
Algebraic multiplicity      408
Aliasing      279 282
Altitude      207 208
Amplitude      91 210 468 486 501 502 504
Analysis      130 135
Analysis, complex      368
Analysis, data      180
Analysis, numerical      1 77 134 510 538 630
Analysis, real      150 151 596
Analysis, statistical      222
Analytic function      86 93
angle      139 140 171
Angle, right      140 218
Animation      217 235 361 363 445 481 630 634
Ansatz      366 447
Ansatz, exponential      447 498
Ansatz, power      367 514
Ansatz, trigonometric      487 507
Anti-diagonal      89 106
Applied mathematics      1 493 510 583
Approximation      202 248 630
Approximation, linear      314 322 375 623
Approximation, numerical      403 645
Approximation, trigonometric      209
Architecture      518
Area      349 433
Argument      171
Arithmetic      170
Arithmetic operations      50 291
Arithmetic, matrix      9 80
arrows      123 302
ART      363 518
Associative      6 7 9 78 353
Associativity of addition      78
Associativity of scalar multiplication      78
Assumption, constitutive      295 584
Astronomy      394
Asymptote      468
Asymptotic stability      460 461 470 513 523 524
Asymptotics      499
atom      419 497 584 594 623
Atom, hydrogen      497
Atomic measure      598
Atomic structure      238
Audible frequency      491
audio      104 277 286
Augmented matrix      12 37 61 274
Autonomous      394 446
Average      10 86 198 262 280
Axis      348 405 483
Axis, coordinate      420
Axis, imaginary      463
Axis, principal      433 434
B-spline      635 647
Back substitution      3 14 21 29 42 51 54 63 243
bacteria      393
Balance force      296 584 587
Ball      181
Ball, unit      87 148
Band width      55
Banded matrix      55
Bank      511 513 514
bar      312 317 485 584 588 614 623 635
Bar, composite      593
Bar, homogeneous      586
Basic variables      63
Basis      101 102 105 174 398 407 410 446
Basis, dual      340
Basis, eigenvector      407 452 487
Basis, orthogonal      218—220 224 227 257 413 417 496
Basis, orthonormal      218 219 223 228 230 236 240 257 280 348 413 418 428 435 641
Basis, standard      37 101 113 203 219 440
Basis, wavelet      104 224 239
battery      307 310 505
Beam      122 312 623 624 630 647
Beam, uniform      623
Beats      502
Bell-shaped      635
Bend      312 584 623
Bending moment      623
benzene      497
Bessel functions      636
Bidiagonal      53 402
Bilinear      11 336
Bilinear form      153
BINARY      289
Binet formula      518
Binomial coefficient      59 380
Binomial formula      173 380
biology      1 390 394 540
Biology, population      510
Bit reversal      289
Bitmapped      633
Block diagonal      36 75 129 441 478
Block matrix      12 52
body      235 420 421
Bolt      313
boundary conditions      295 588 589 615
Boundary layer      640
Boundary value problem      55 77 108 134 180 331 363 364 373 583 589 640
Boundedness      338
Bowl      181
Bridge      502
Bug      545
Building      122 312
Business executive      545
C++      14
CAD      630
Calculator      49 202
Calculus      125 185 187 314 391 459 598 608 623
Calculus, multivariable      423
Calculus, vector      353
Canonical form      356
Canonical form, Jordan      440 442 478 524
Capacitance      505 506
Capacitor      505
Carbon      393 497
Carbon tetrachloride      497
Cardinal spline      635
Carpolice      196
Cartesian coordinates      103
Cartesian product      83 88 336 364
Cauchy — Schwarz inequality      138 143 176 612
Cave      393
Cayley transform      239
Cayley — Hamilton theorem      406 444
Cayley — Klein parameters      239
CD      218 279
Center      361 468
Chain rule      608
Change of basis      104 355 410
Change of variables      169 254 256
Chaos      489
Characteristic equation      366 368 395 396 400 406 447 466 498
Characteristic polynomial      401 444
Characteristic value      395
Characteristic vector      395
Charge electric      303
Chebyshev polynomial      255
Chemistry      49 140 238 390 394
Chlorine      497
Cholesky factorization      168
circle      319 322 362
Circle, osculating      623
Circle, unit      133 433 524
Circuit      123 125 126 128 303
Circuit, electrical      181 486 504
Circulant matrix      418
Circulant tridiagonal      633
circular motion      493
Circular ring      593
CITY      544
Clamped      625 631
Clarinet      503
Classical mechanics      330 375 464
Closed      80 151
Closed curve      633
Closest point      183 189 191 193 260
Closure      84 108
Coefficient matrix      5 7 24 107 446 511 546 641
Coefficient, binomial      59 380
Coefficient, constant      363
Coefficient, frictional      499 504
Coefficient, leading      367
Coefficient, undetermined      372 500
Cofactor matrix      114
Cokernel      115 116 118 126 272 303
column      4 44 116
Column interchange      58
Column space      107 194 272 371
Column sums      405 541 543
Column vector      4 44 79 96 131 339
Column, orthonormal      427
Combination linear      89 97 103 451
Comer      607
Commutative      7 9 73 78 481 483
Commutativity of addition      78
Commutator      10 343 483
Commuting matrices      476
Compact      148 150
Compatibility condition      98 107 273
Compatible      63 64 273 275
Complement, orthogonal      268 270 272
Complementary dimensions      269
Complementary subspace      88 272
complete      407 411 434 442 446 452 463 469 487 515 520 524 528 568
Complete bipartite digraph      128
Complete complex conjugate eigenvalues      458
Complete eigenvalue      407
Complete graph      128
Complete matrix      407
Complete monomial polynomial      207
Complete real eigenvalue      458
Completing the square      163 185 419
COMPLEX      170 176 178 240 377 378 399 409 435 570
Complex addition      288
Complex analysis      368
Complex conjugate      170 176 178 240 377 378 399 409 435 570
Complex diagonalizable      411
Complex differential operator      619
Complex eigenvalue      399
Complex eigenvector      399
Complex exponential      171 177 278
Complex inequality      174
Complex multiplication      288
Complex number      83 170 174
Complex plane      170
Complex solution      378
Complex vector space      78 174 377
Complex-valued function      378
Complexity computational      50
Component, connected      128
Component, principal      429
Composite bar      593
composition      341 359
Compounded      511 513 514
Compression      104 210 286 294 317
Computational complexity      50
Computer      49 57 202 287 289
Computer Aided Design      630 633
Computer algebra      58
computer games      363
Computer graphics      53 217 235 238 279 331 346 361 363 445 481 630 633 634
Computer programming      28
Computer serial      553
Computer vision      363 481
Condition number      58 429 536
Condition, boundary      295 588 589 615
Condition, compatibility      98 107 273
Condition, initial      373 391 452 486 488 511 515
Conditioned ill      58 266 429 432
Conductance matrix      303
Conductances      303
Conduction heat      635
Conductivity      310
Conductivity thermal      592
Cone light      157
conjugate      353
Conjugate direction      565
Conjugate gradient method      565
Conjugate symmetry      176
Conjugate vectors      563 565
Conjugated      377
Connected      123 306
Connected components      128
Conservation of energy      465
Constant coefficient      363
Constant function      135 278
Constant polynomial      80
Constant spring      486 586
Constitutive assumption      295 584
Constitutive relation      303 586
Constrained maximization principle      424
Constrained optimization problem      423
Continuity      338
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