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Anthony G. — Elements of differential and integral calculus
Anthony G. — Elements of differential and integral calculus



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Название: Elements of differential and integral calculus

Автор: Anthony G.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1911

Количество страниц: 479

Добавлена в каталог: 27.09.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute convergence      220
Acceleration      92
Approximate formulas      237
Archimedes, spiral of      274
Area, center of      408
Area, moment of      408
Areas of plane curves, polar coordinates      370 406
Areas of plane curves, rectangular coordinates      365 402
Areas of surfaces      381 413
Asymptotes      249
Auxiliary equation      434
Bending      113
Binomial differentials      340
Binomial theorem      1 99
Cardioid      273
Catenary      272
Cauchy's ratio test      218
Center, of area      408
Center, of gravity      409
Change of variables      148
Circle of curvature      178
Cissoid      271
Computation by series of $\pi$      235
Computation by series of e      233
Computation by series of logarithms      235
Concave down      126
Concave up      126
Conchoid of Nicomedes      272
Conditional convergence      221
Cone      2
Conjugate points      260
Constant      8
Constant of integration      307
Constant, absolute      8
Constant, arbitrary      8
Constant, numerical      8
Continuity of functions      14
Convergency      214
Coordinates of center of curvature      178
Cosine curve      237
Critical values      110
Cubical parabola      271
Curvature, center of      178
Curvature, circle of      178
Curvature, definition      155
Curvature, radius of      155
Curve tracing      128
Curves in space      262
Cusp      259
Cycloid      82 272
Cylinder      2
Decreasing function      106
Definite integration      314
Degree of differential equation      426
Derivative of arc      134
Derivative, definition      27
Differential coefficient      27
Differential equations      421
Differential of an area      314
Differentials      141
Differentiation      29
Differentiation of constant      36
Differentiation of exponentials      48
Differentiation of function of a function      44
Differentiation of implicit function      69
Differentiation of inverse circular functions      61
Differentiation of inverse function      45 Differentiation of logarithm
Double point      256
Envelopes      205
Equiangular spiral      274
Evolute of a curve      182
Expansion of functions      227
Exponential curve      275
Family of curves      205
Fluid pressure      388
Fluxions      25
Folium of Descartes      273
Formulas for reference      1
Function, continuity of      14
Function, definition      7
Function, graph of      16
Function, implicit      69
Function, increasing, decreasing      106
Function, inverse      45
Function, many-valued      17 Function of a function
Gravity, center of      409
Greek alphabet      3
Helix      263
Homogeneous differential equation      426
Hyperbolic spiral      274
Hypocycloid      273
Increasing functions      106
Increments      25
Indeterminate forms      170
Infinitesimal      13 132
infinity      13
Inflection      125
Integral curves      446
Integral curves, definition      314
Integral curves, indefinite      281
Integraph      443
Integration, by parts      347
Integration, by rational fractions      325
Integration, by rationalization      335
Integration, by transformation      343
Integration, definition      279
Integration, mechanical      443
Interpolation      237
Involute      187
Laplace      25
Leibnitz      32
Leibnitz formula      99
Lemniscate      272
Length of curves      375
Limacon      274
Limit, interchange of      320 Limit of a variable
Limit, theory of      11
Linear differential equation      427
Lituus      274
Logarithmic curve      275
Logarithmic curve, spiral      274
Logarithms, Briggs's      237
Logarithms, common      237
Logarithms, Napierian      237
Maclaurin's Theorem and Series      230
Maxima and minima      103
Mean value, extended theorem of      166
Mean value, theorem of      165
Mechanical integration      443
Moment of area      408
Moment of inertia      410
Multiple roots      69
Natural logarithms      4
Newton      25
Node      258
normal      76
Normal line      266
Normal plane      262
Order of differential equations      426
Ordinary point      255
Osculation      259
Osgood      215
parabola      277
Parabola, cubic      271
Parabola, semicubical      271
Parabola, spiral      275
Parabolic rule      449
PARAMETER      6 205
Parametric equations      79
Partial derivatives      191
Partial derivatives, integration      393
Pierpont      245
Planimeter, polar      446
Points, conjugate      260
Points, end      260
Points, isolated      260 Points of inflection
Points, salient      260
Points, singular      255
Points, turning      108
Polar planimeter      446
Pressure, fluid      388
Probability curve      275
Quadratic equation      1
Radius of curvature      159
Rates      141
Rational fractions      325
Reciprocal spiral      274
Reduction formulas      350
Rolle's theorem      164
Secant curve      275
Semicubical parabola      271
Series, alternating      220
Series, arithmetical      1
Series, convergent      214
Series, divergent      214
Series, geometrical      1
Series, infinite      213
Series, nonconvergent      214
Series, oscillating      215
Series, power      223
Signs of trigonometric functions      3
Simpson's rule      449
Sine curve      273
Singular points      255
Slope of curve      73
Solution of differential equations      422
Sphere      2
Stirling      230
Strophoid      274
Subnormal      77
Subtangent      77
Successive differentiation      97
Successive integration      393
Surface, area of      381 413
Tangent curve      275
Tangent line to surface      264
Tangent plane      264
Tangent, to plane curves      76
Tangent, to space curves      262
Taylor's Series, Theorem      228
Test, comparison      217
Total differentiation      194
Trajectory, orthogonal      308
Trapezoidal rule      448
Triple integration      417
Variable, definition      6
Variable, dependent      7
Variable, independent      7
Velocity      90
Volumes of solids      377 417
Witch of Agnesi      271
Work      389
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