Kuttler K. — Calculus, Applications and Theory :: Электронная библиотека попечительского совета мехмата МГУ

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Kuttler K. — Calculus, Applications and Theory

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Название: Calculus, Applications and Theory

Автор: Kuttler K.

Язык:

Рубрика: Математика/Анализ/Учебники по элементарному анализу/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 631

Добавлена в каталог: 12.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

      147
$n^{\textit{th}}$ term test      262
$\bigtriangledown^{2}$       2 594
$\cap$       21
$\cup$       21
Absolute convergence      260
Acceleration      426
Adjugate      438 451
Alternating Series Test      263
Amplitude      64 142
Annuity, ordinary      31
Antiderivatives      176 177
Arc length      369
Archimedian property      29
Area of a cone      68
Arithmetic mean      502
Augmented matrix      38
Balance of momentum      606
Bezier curves      353
Binomial series      278
Binomial theorem      32
Capacitance      389
Carbon dating      216
Cartesian coordinates      292
Catenary      211
Cauchy      88
Cauchy condensation test      261
Cauchy mean value theorem      133
Cauchy product      269
Cauchy Schwartz inequality      309
Cauchy Schwarz      296
Cauchy sequence      106 338
Cauchy stress      608
Center of mass      552
Central force field      395
Centrifugal acceleration      427
centripetal acceleration      426
Centripetal force      394
Chain rule      481
Change of variables formula      539
Characteristic equation      507
Circular functions      139
Circular shells      205
Closed set      301
Coefficient of thermal conductivity      491
Cofactor      434 449
Column rank      440 452
Comparison Test      260
Completeness      42
Completeness axiom      43
Completing the square      45
Complex conjugate      74
complex numbers      73
Component      305
Concave down      135
Concave up      135
Conformable      408
Conservation of linear momentum      359
Conservation of mass      605
Conservative      617
Constitutive laws      610
Contented set      566
Continuous function      88 330
coordinates      291
Coriolis acceleration      427
Coriolis acceleration, earth      428
Coriolis force      395 427
Cramer’s Rule      439 452
Critical points      506
Curl      593
Curvature      375
Cycloid      622
Darboux      235
Darboux integral      234
Deformation gradient      606
Dense      29
Density of rationals      29
Derivative of a function      120 349
Derivative, intermediate value property      135
Determinant      445
Determinant, product      448
Determinant, transpose      446
Difference quotient      120 349
Differentiability and continuity      121
Differentiable      486
Differentiable matrix      422
Differential equation      176
Differentiation rules      122 350
Directrix      70 316
Dirichlet function      81
Dirichlet test      263
Discriminant      45
Distance      53
Distance formula      294
Divergence      593
Divergence theorem      598
Domain      81
Donut      583
Dot product      308
Eigenvalue      501
Eigenvalues      507
Einstein summation convention      326
ellipse      70
Equality of mixed partial derivatives      471
Euclidean algorithm      30
Euler method      366
Eulerian coordinates      606
Extreme Value Theorem      96
Fermat’s principle      170
Fibonacci sequence      85
Fick’s law      491 611
Field axioms      16
First order linear differential euqations      245
Focus      70
Force field      372 395
Foucalt pendulum      429
Fourier law of heat conduction      491
Fredholm alternative      421
frequency      142
Frustrum of a cone      211
Function, even      132
Function, odd      132
Function, uniformly continuous      113
Fundamental matrix      461
Fundamental theorem of algebra      625
Fundamental Theorem of Arithmetic      34
Fundamental theorem of calculus      233
Future value of an annuity      31
Gauss’s theorem      598
Geometric mean      502
Geometric series      257
Gradient vector      489
Grammian      458
Greatest common divisor      33
Greatest lower bound      42
Grids      557
Hanging chain      209
Heine Borel      113
Hessian matrix      506
Holder’s Inequality      173
Hooke’s law      381
Hyperbola      71
Implicit function theorem      150
Improper integrals      247
Inconsistent      39
Indefinite integral      177
Inductance      389
Inflection point      137
Initial value problem      176
Inner product      308

integral      177
Integral test      272
integrand      176
Integration by parts      184 243
Interior point      301
Intermediate Value Theorem      94 113
Intervals      22
Inverse function theorem      150
Inverse image      83
Inverses and determinants      437 450
Isoceles triangle      55
Jacobian determinant      539
Jordan content      566
Jordan set      566
Joule      312
Kepler’s first law      396
Kepler’s laws      395
Kepler’s third law      399
Kilogram      322
kinetic energy      358
Kroneker delta      325
Lagrange multipliers      499
Lagrange remainder      254
Lagrangian coordinates      606
Laplace expansion      434 449
Law of Cosines      54
Law of Sines      64
Least squares regression      470
Least upper bound      42
Lebesgue’s theorem      571
Length of smooth curve      370
Limit Comparison Test      260
Limit of a function      97 332 347
Limit point      471
Line integral      373
linear combination      417 440 447 452
Linear momentum      358
Lipschitz      114 331 340
Lipschitz condition      362
Lizards, surface area      579
Local maximum      127
Local minimum      127
Logarithmic differentiation      153
Lower sum      558
Main diagonal      435
Mass ballance      605
Material coordinates      606
Mathematical induction      27
Matrix      405
Matrix, inverse      411
Matrix, left inverse      451
Matrix, lower triangular      435 452
Matrix, right inverse      451
Matrix, upper triangular      435 452
Max. min.theorem      96
Mean Value Theorem for Integrals      235
Merten’s theorem      269
Metric tensor      458
Minor      434 449
Mobius band      616
Motion      606
Moving coordinate system      423
Multi-index      331
Multinomial expansion      44
Navier      612
Nested interval lemma      95
Newton      306
Newton Raphson method      173
Newton, second law      354
Nonremovable discontinuity      87
Ohm’s Law      389
Open set      301
Order axioms      20
Ordinary differential equations, existence and uniqueness      365
Ordinary differential equations, global existence      365
Ordinary differential equations, linear systems      459
Ordinary differential equations, local existence      494
Orientation      372
Oriented curve      372
Oscillation, critically damped      388
Oscillation, over damped      388
Oscillation, underdamped      388
Osculating plane      375
p series      262
parabola      69
Parametrization      369
Partial derivative      468
Partial fractions expansion      194
Partial summation formula      263
Particular solution      463
Partition      222
Pathagorean theorem      48
Peano existence theorem      495
Permutation symbol      326
Permutations and combinations      44
Phase shift      64 142
Picard iteration      362
Piola Kirchhoff stress      610
Polar form complex number      74
Power series      272
Precession of a top      550
Present value of an annuity      32
Prime number      33
Principal normal      375
Product rule      122
Product rule, cross product      351
Product rule, dot product      351
Product rule, matrices      422
Profit      128
Properties of integral, properties      231
Quadratic formula      45
Quotient rule      122
Raabe’s test      271
Radius of curvature      375
RANGE      81
Rank of a matrix      440 452
Ratio Test      263
Rational function      83
Rational root theorem      35
Rationial function of cosines and sines      196
Real numbers      15
Recurrence relation      85
Recursively defined sequence      85
Refinement of grids      557
Regression line      420
Relatively prime      33
Removable discontinuity      87
Resistance      389
Resultant      306
Revenue      128
Riemann criterion      559
Riemann integrable      224
Riemann integral      559
Rigid body motion      554
Rolle’s Theorem      133
Root test      264
ROT      593
Row operations      39
Row rank      440 452
Saddle point      506
Scalar field      593
Scalar potential      617
Scalar product      308
Scalars      292
separable differential equations      214
Sequence of partial sums      257
Sequences      84
Sequential compactness      113
Sequentially compact set      344
Simpson’s rule      241 246

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