Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Smirnov V.I. — Higher mathematics. Vol.1
Smirnov V.I. — Higher mathematics. Vol.1

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Higher mathematics. Vol.1

Автор: Smirnov V.I.

Язык: en

Рубрика: Математика/Анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1964

Количество страниц: 543

Добавлена в каталог: 16.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Abel convergence test      384
Abel integral      515
Abel theorem      386 388
Absolute error      120
Absolute maximum      430
Absolute minimum      430
Absolute value      2
Algebraic equations      480
Algebraic functions      180
Alternating series      327
Analytic method of specifying function      8
Angular coefficient of straight line      17
Angular coefficient of tangent      103
Approximate evaluation by differentials      117
Approximate evaluation by series      339 344 351 356
Approximate evaluation of definite integrals      279
Approximate evaluation of definite integrals, Poncelet's formula      284
Approximate evaluation of definite integrals, rectangle formula      279
Approximate evaluation of definite integrals, Simpson's formula      282
Approximate evaluation of definite integrals, tangent formula      281
Approximate evaluation of definite integrals, trapezoid formula      279
Approximate evaluation of definite integrals, with variable upper limit      286
Approximate evaluation, solution of equations by Newton's method      502
Approximate evaluation, solution of equations by simple interpolation      503
Approximate evaluation, solution of equations by successive approximation      498
Approximate evaluation, solution of equations by tangent method      502
Arc, differential of      164 264 265 417
Arc, length of      261 417
Archimedes, spiral of      196
Area as primitive      222
Area of surface of revolution      271
Area of trapezoids      216
Area, limit of sum of      219
Astroid      193
Asymptote      28 170
Asymptotic point      197
Basic theorem of algebra      481
Bezout's theorem      481
Binomial differential, integration of      512
Binomial series      342
Bounds, of numerical set, upper, lower      85
Cardan's formula      493
Cardioid      192 197 267
Cassini's ovals      200
Catenary      187 266 464
Cauchy formula      152
Cauchy test for convergence of series      320 322
Cauchy test for existence of limit      58
Centre of gravity of arc      275 276
Centre of gravity of plane figure      277
Change of variables, definite integrals      250
complex numbers      444
Complex numbers, amplitude      446
Complex numbers, conjugates of      451
Complex numbers, exponential form of      458
Complex numbers, operations on      444—455
Complex numbers, trigonometric form of      444
Concavity and convexity      166
Continuity of functions      66—72 87 401
Continuity, uniform      70 88
Coordinates, polar      194
Coordinates, rectangular      13
Curvature of arc      166
Cusp      182
Cycloid      187 267
Cylindrical section      269
d'Alembert's test      321
Damped oscillation      138
Darboux integral sums      293—298
Darboux theorem      298
de Moivre's formula      453
Decreasing functions      34 128
Definite integrals      216 218
Definite integrals, evaluation by means of primitive      224
Definite integrals, properties of      237
Definite integrals, relationship to indefinite integrals      222
derivatives      101 102
Derivatives of functions in parametric form      175
Derivatives of higher orders      121 405
Derivatives of implicit functions      164 410
Derivatives, partial      160 402
Derivatives, rules for obtaining      105 163 175 410
Descartes, folium of      177 181
Differences of function      126
Differential(s)      114
Differential(s) equations      117 234
Differential(s) of higher orders      125
Differential(s), geometrical significance of      115
Differential(s), total      162 402
Differential(s), total, of higher orders      408
Differential(s), use in approximations      120
Differentiation of arc      164 265 266 417
Differentiation of integral with respect to upper limit      244
Differentiation of uniformly convergent series      384
Differentiation, rules for      116 163 176 402—414
Discontinuities of functions      64 292
Discontinuities of integrand      245
Domain of definition of function, closed      158 398
Domain of definition of function, open      158 398
Double series      369
e (number)      74
e (number), approximate evaluation of      339
ellipse      257 345 478
Ellipsoid      270 273
Elliptic integrals      516
Empirical formulae      21
Epicycloid      190
Equations of curves      10 15 175 194 417 476
Equations of surfaces      417
Equations of third degree      491
Equations of third degree, solution by trigonometric method      494
Equivalence of infinitely large magnitudes      72
Equivalence of infinitesimals      72
Error, absolute      120
Error, relative      120
Euler formula      458
Euler substitutions      512
Euler theorem      404
Even functions      252
Exponential functions      35 90 111 338 458
Fermat's theorem      146
Finite increments, formula of      150
Functional relationships      8
Functions      7. See also special headings of function
Gauss's test      365 366
Geometric progression      316
Graph of function      15 172
Greatest value of function      140 430
Guldin's theorem      276 277
Harmonic curves      40
Harmonic oscillations in complex form      470 479
Harmonic series      318 326
homogeneous functions      404
Horner's rule      485
Hyperbolic functions      460—463
Hyperbolic spiral      196
Hypergeometric series      367
Hypocycloid      190
Imaginary unity      450
Implicit functions      10 164 410
Improper integral      249
Increasing functions      34 128
Increment of function      19
Increment of several variables      160 161
Increment of variable      18
Increment, partial      160
Increment, total      161—163
Indefinite integrals      213
Indeterminate forms      153 155 358
Infinitely large magnitudes      54
Infinitesimals      44
Infinitesimals, comparison of      72
Infinitesimals, equivalence of      72
Infinitesimals, orders of      72
Infinitesimals, properties of      46 47
infinity      54
Inflexion, points of      167
Integrability of functions      299
Integral sum      294
Integral, definite      216
Integral, indefinite      213
Integral, test (Cauchy)      324
Integration of binomial differentials      512
Integration of exponential expressions      516—519
Integration of irrational expressions      230 231 282 283
Integration of rational fractions      232 233 508—511
Integration of trigonometric expressions      516—519
Integration of uniformly convergent series      383
Integration, rules for      227—230
Interval, closed, open      5
Inverse functions      31 108
Inverse functions, circular      41 108 111 352
Inverse functions, principal values of      43
Involute of circle      193
Irrational number      81
Isolated point of curve      184
Kepler's equation      59 130
Kummer's test      363
l'Hopital's rule      154 156
Lagrange form of remainder, Taylor's series      336
Lagrange formula      159
Lagrange method of undetermined multipliers      432
Least value of function      140 430
Leibniz's rule      123
Lemniscate      200
Limacon      197
Limit of function      61
Limit of function, double      400
Limit of function, of several variables      400
Limit of variable      49—52
Linear functions      17 20
Logarithm of complex number      469
Logarithm, natural      78
Logarithmic functions      37 93 106 348
Logarithmic scale      37
Logarithmic spiral      196 266 478—479
Maclaurin formula      337
Maclaurin series      337
Many-valued functions      33
Maxima and minima of functions      132—137
Maxima and minima of functions, of several variables      421
Maxima and minima of functions, of several variables, absolute      422 423
Maxima and minima of functions, of several variables, conditional      431
Maxima and minima of functions, rules for finding      133 135
Mean value theorem      242 243
Modulus of complex number      446
Modulus of system of logarithms      79
Multiple zeros of polynomial      383
Multipliers, undetermined, Lagrange method      432
n-dimensional space      399
Natural logarithms      79
Node      181
Normal to curve      184
Normal to surface      419
Odd functions      252
Open interval      5
Ordered variables      43
Osculation, point of      183
Ostrogradskii — Hermite formula      510
Ovals, Cassini's      200
parabola      23 25 256 265
Paraboloid, hyperbolic      427
Partial derivatives of first order      402
Partial derivatives of higher orders      405
Partial fractions      506
Passage to limit under differentiation sign      382
Passage to limit under integral sign      381
Polar equation of curve      194
Polynomial(s)      332 479—489
Polynomial(s) with real coefficients      489
Polynomial(s), relatively prime      488
Polytropic curves      29
Poncelet's formula      284
Primitives      213 244
Radius of curvature      169
Rational fraction, expansion into partial fractions      506
Real numbers      3 80
Real numbers, operations on      83
Reduction formula for integrals      254
Relative error      120
Remainder of series      316 327
Remainder term, Taylor's formula      335
Revolution, surface of      271
Riemann integral      299
Rolle's theorem      147
Roots of complex numbers      455
Section of numerical set      80
Semi-open interval      5 6
Semicubical parabola      181
Separation of algebraic part from integral      509
Sequence of functions (infinite)      374—377
Series, absolutely convergent      328 359 372
Series, alternating      327
Series, convergent      315
Series, divergent      315
Series, double      369
Series, Maclaurin      337
Series, power      386
Series, Taylor      337
Series, trigonometric      374
Series, uniformly convergent      374
Set, numerical, bounded above, below      79 85
Single-valued functions      34
Singular points of curve      180
Sinusoidal quantity      470
Slope of straight line      18
Slope of tangent      103
spirals      196
Strict bounds of numerical set      85
Subnormal      185
Substitution by Euler's method      230 512
Substitution by rational-fractional method      511 512
Substitution by trigonometric method      516
Substitution, change of variables by      230
Subtangent      185
Sum of series      315
Tabular method of specifying function      11
Tangent      184
Tangent formula      281
Tangent method      502
Tangent plane      417
Tests for convergence of series, Abel's      384
Tests for convergence of series, alternating      327
Tests for convergence of series, Cauchy's      320
Tests for convergence of series, d'Alembert's      321
Tests for convergence of series, Gauss's      365
Tests for convergence of series, integral      324
Tests for convergence of series, Kummer's      363
Tests for convergence of series, Weierstrass's      384
Tests for convergence of series, with positive terms      319
Torus      278
Total differential      162 402
Total differential of function of function      404
Transcendental curves      184
Trifolium      260
Trigonometric functions      38 93 105 106 108 460
Trigonometric functions, expanded into power series      340
Trochoid      189
Undetermined coefficients, method of      232 507
Unicursal curves      516
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте