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Chan Man Fong C.F., De Kee D., Kaloni P.N. — Advanced Mathematics for Engineering and Sciences
Chan Man Fong C.F., De Kee D., Kaloni P.N. — Advanced Mathematics for Engineering and Sciences



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Название: Advanced Mathematics for Engineering and Sciences

Авторы: Chan Man Fong C.F., De Kee D., Kaloni P.N.

Аннотация:

Mathematical text suitable for students of engineering and science who are at the third year undergraduate level or beyond. Each chapter contains several solved problems clarifying the concepts introduced, and assignment problems. Softcover, hardcover available.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 880

Добавлена в каталог: 05.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Mapping, isogonal      277
Matched asymptotic expansion      177
Matching principle      178
Maximum      6 741
Maximum Modulus Principle      238
Maxwell’s equations      341
Maxwell’s equations, fluid      80 82
Mean value theorem      4
Mean value theorem, first      12
Mean value theorem, generalized      12
Mean value theorem, intermediate      571
Mellin’s transform      484
Minimum      6 741
Mixed problems      545
Mobius strip      322
Modulus      193
Morera’s theorem      237
Mutually exclusive      826
Neumann’s function      541
Neumann’s function, law      341
Neumann’s function, problems      338 450 541 701
Newton’s divided difference      614
Newton’s divided difference, method      574 580
Norm      145 590
Normalized functions      125
Ordinary differential equation      25 401
Ordinary differential equation, degree      25
Ordinary differential equation, first order      26 638
Ordinary differential equation, general solution      98
Ordinary differential equation, higher order      41 89 648
Ordinary differential equation, homogeneous      38 41 89
Ordinary differential equation, linear      25 36
Ordinary differential equation, non-linear      25
Ordinary differential equation, normal form      164
Ordinary differential equation, particular solution      43 89
Ordinary differential equation, series solution      96
Ordinary point      89 95
Orthogonal bases      144
Orthogonal bases, functions      125 144
Orthogonal bases, matrix      600
Outer solution      176
Parabolic partial differential equation      423 511 523
Parameter expansion      170
Partial differential equation      25 401
Partial differential equation, first order      402
Partial differential equation, homogeneous      402
Partial differential equation, non-homogeneous      402 450
Partial differential equation, quasi-linear      402
Partial differential equation, second order      420
Path independence      227
penetration      561
Permutation      828
Phase plane      340 812
Picard’s method      639
Planck’s constant      552
Plateau’s problem      774
Pointwise approximation      145
Poisson’s bracket      817
Poisson’s bracket, equation      338 703
Poisson’s bracket, integral formula      237 539
Pole, order m      254
Pole, simple      254
Polynomial      212 580
Potential      212
Power law fluid      71
Power series      92 241
QR algorithm      608
quantum mechanics      551
Quasi-steady state approximation      173
Quotient law      396
Radius of convergence      92 241
Ratio Test      92 240
Rayleigh — Ritz method      724 785
Recurrence equation      96 102 129
Regular perturbation      173
Reiner — Rivlin fluid      391
Relativity      551
Residue      254
Riemann’s function      513
Riemann’s function, method      511
Robin’s problem      450 545
Rodrigues formula      128 180
Romberg’s method      633
Runge — Kutta methods      643
Saddle point      745
Scalar product      144 301
Schrodinger’s equation      552 806
Schwarz- Christoffel, transformation      287
Secant method      572
Secular term      190
Self-adjoint      512 549
SEQUENCE      238
Sequence, convergence      238
Sequence, divergence      238
Series      92 239
Series, absolute convergence      239
Series, convergence      239
Series, divergence      239
Set      200
Shooting method      659
Similar matrices      600
Similarity solution      523
Similarity solution, variable      523
Simpson’s rule      630 631
Singular matrix      585
Singular matrix, perturbation      173
Singular point      90 278
Singular point, essential      254
Singular point, irregular      91
Singular point, isolated      253
Singular point, regular      91 99
Singular point, removable      254
SPLINE      619
Spline, cubic      619
Spline, functions      619
Square integrable      144
Stability      671 686
Stagnation flow      527
Stake’s flow      170
Stefan Problem      528
Stiffness matrix      725
Stirling’s formula      832
Stochastic process      854
Stokesian fluid      390
Stream function      212
Sturm — Liouville problem      120
Successive over relaxation      699
surface      320
Surface, equation      78
Taylor’s method      640
Taylor’s method, theorem      5 22 242
Tensor      301
Tensor, arbitrary order      354
Tensor, isotropic      382
Tensor, metric      358
Tensor, objective      384
Tensor, permutation      359
Tensor, Riemann — Christoffel      370
Tensor, symmetric      357
Transformation, bilinear      284
Transformation, canonical      819
Transformation, Cole — Hopf      505
Transformation, frame of reference      384
Transformation, Joukowski      289
Transformation, linear      279
Transformation, reciprocal      282
Transformation, Schwarz — Christoffel      287
Transformation, von Mises      719
Transversality condition      757
Trapezoidal rule      629 631
Tridiagonal matrix      601
Trigonometric functions      215
Unit normal      320
Unitary matrix      601
Upper triangular matrix      585
Van der Waals’ equation      77
Variation of parameters      37 58 118 129
Variational method      723
Vector      301
Vector, conservative      335
Vector, contravariant base      349
Vector, covariant base      349
Vector, irrotational      335
Vector, product      302
Vorticity      211
Weak solution      724
Weissenberg — Rabinowitsch, integral      323
Weissenberg — Rabinowitsch, one sided      322
Weissenberg — Rabinowitsch, simple      322
Weissenberg — Rabinowitsch, smooth      322
Well posed problem      449
Whitehead’s paradox      176
Whitehead’s paradox, function      552
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