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Woods F.S., Bailey F.H. — Elementary Calculus
Woods F.S., Bailey F.H. — Elementary Calculus



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Название: Elementary Calculus

Авторы: Woods F.S., Bailey F.H.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1922

Количество страниц: 318

Добавлена в каталог: 25.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abscissa      28
Acceleration      9 21 186
Algebraic functions      79
Amplitude      128
Angle between curve and radius vector      146
Angle between curves      104
Angle between straight lines      35
Angle, vectorial      142
Angular velocity and acceleration      135
Anti-sine      130
Approximations      53 187
Arc, differential of      106 146
Archimedes, spiral of      145
Area as double integral      246
Area by summation      60
Area in polar coordinates      230
Area of ellipse      225
Area of plane curve      47 225
Area of surface of revolution      259
Asymptote of any curve      89 92
Asymptote of hyperbola      90
Average value      See "Mean value"
Axis of coordinates      28
Axis of ellipse      86
Axis of hyperbola      90
Axis of parabola      82
Cardioid      145
Cartesian equation      109
Cartesian space coordinates      269
Catenary      157
Center of gravity of any solid      282
Center of gravity of circular arc      253
Center of gravity of composite area      255
Center of gravity of half a parabolic segment      251
Center of gravity of plane area      251
Center of gravity of plane curve      250
Center of gravity of quarter circumference      250
Center of gravity of right circular cone      253
Center of gravity of sextant of circle      252
Center of gravity of solid of revolution      252
circle      79 148
Circle of curvature      140
Circular measure      119
Cissoid      93
Compound-interest law      160
Cone, circular      272
Cone, elliptic      275
Constant of integration      45 194
coordinates      27
Coordinates, cylindrical      270
Coordinates, polar      142
Coordinates, space      269
Curvature      139
CURVES      91
Cycloid      137
Cylinder      273
Cylindrical coordinates      270
Definite integral      62 194
Derivative      15
Derivative, higher      40
Derivative, partial      181
Derivative, second      39
Derivative, sign of      20 40
Differential      50
Differential coefficient      51
Differential of arc      106 146
Differential of area      64
Differential, total      185
Differentiation      15
Differentiation of algebraic functions      94
Differentiation of exponential and logarithmic functions      163
Differentiation of implicit functions      102
Differentiation of inverse trigonometric functions      131
Differentiation of polynomial      18
Differentiation of trigonometric functions      124
Differentiation, partial      181
Directrix of parabola      81
Distance between two points      79
Double integration      244
e, the number      155
Eccentricity of ellipse      87
Eccentricity of hyperbola      90
Element of integration      64
ellipse      85
Ellipse, area of      225
Ellipsoid      274
Ellipsoid, volume of      280
Elliptic cone      275
Elliptic paraboloid      275
Equation of a curve      29
Equations, empirical      159
Equations, parametric      109
Equations, roots of      30
Equilateral hyperbola      90 92
Exponential functions      154
Falling body      6 8
Focus of ellipse      85
Focus of hyperbola      87
Focus of parabola      81
force      128
Formulas of differentiation      101 124 131 163
Formulas of integration      195 199 202 205 207 217
Fractions, partial      216
Functions      15
Functions, algebraic      79
Functions, exponential      154
Functions, implicit      102
Functions, inverse trigonometric      130
Functions, logarithmic      154
Functions, trigonometric      119
graphs      27
Graphs in polar coordinates      142
Graphs of exponential functions      157
Graphs of inverse trigonometric functions      130
Graphs of logarithmic functions      157
Graphs of trigonometric functions      121
Hyperbola      87
Implicit functions      102
Increment      16
Indefinite integral      63 194
Infinite integrand      229
Infinite limits      229
integral      45 194
Integral, definite      62 194
Integral, double      244
Integral, indefinite      63 194
Integrals, table of      217
integrand      194
Integration      45 194
Integration by partial fractions      216
Integration by parts      212
Integration by substitution      208
Integration of a polynomial      45
Integration, collected formulas      217
Integration, constant of      45 194
Integration, repeated      244
Inverse sine      130
Inverse trigonometric functions      130
Lemniscate      144
Length of curve      286
LIMIT      1
Limit of $(1 + h)^{\frac{1}{h}}$      156
Limit of $\frac{1 - \cos h}{h} $      121
Limit of $\frac{\sin h}{h}$      120
Limit, theorems on      93
Limits of definite integral      63
Line, straight      31
Linear velocity      135
Logarithm      154
Logarithm, Napierian      156
Logarithm, natural      156
Logarithmic spiral      158
Maclaurin's series      173
Maxima and minima      41
Mean value      233
Measure, circular      119
Moment of circle      264
Moment of inertia      260
Moment of quadrant of ellipse      262
Moment of rectangle      261
Moment of solid      283
Moment of solid of revolution      265
Moment, polar      262
Moments of inertia about parallel axes      266
Motion in a curve      107
Motion, simple harmonic      127
Napierian logarithm      156
Ordinate      28
Origin      27 142
Pappus, theorems of      259
parabola      81 145
Parabolic segment      83
Paraboloid      275
Parallel lines      33
PARAMETER      109
Parametric representation      109
Partial differentiation      181
Partial fractions      216
Parts, integration by      212
Period      128
Perpendicular lines      34
Plane      276
Polar coordinates      142
Polar moment of inertia      262
Pole      142
Polynomial, derivative of      18
Polynomial, integral of      45
Power series      172
Pressure      68
Pressure, theorem on      257
Projectile      110
Radian      119
Radius of curvature      139
Radius vector      142
Rate of change      11 189
Revolution, solid of      73
Revolution, surface of      259 273
Roots of an equation      30
Rose of three leaves      144
Second derivative      39
Second derivative, sign of      40
Segment, parabolic      83
Series      172
Series, MacLaurin's      173
Series, power      172
Series, Taylor's      177
Sign of derivative      20 40
simple harmonic motion      127
Slope of curve      36
Slope of straight line      31
Solid of revolution      73
Space coordinates      269
Speed, average      3
Speed, true      5
Sphere      271 272
Spiral of Archimedes      145
Spiral, logarithmic      158
Straight line      31
Substitution, integration by      208
Summation      66
Surfaces      271
Surfaces of revolution      273
Table of integrals      217
Tangent line      88 104
Taylor's series      177
Total differential      185
Trigonometric functions      119
Trochoid      138
Turning-point      37
Value, mean      233
Vector, radius      142
Vectorial angle      142
Velocities, related      111
Velocity      21 107
Velocity, angular      135
Vertex of ellipse      86
Vertex of hyperbola      90
Vertex of parabola      82
Vertex of parabolic segment      84
Volume of any solid      277
Volume of solid of revolution      73
Volume of solid with parallel bases      71
Work      237
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