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| Авторизация |
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| Поиск по указателям |
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| Woods F.S., Bailey F.H. — A Course in Mathematics. Volume II |
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| Предметный указатель |
Abscissa I 3
Absolute convergence II 283
Absolute value of complex number II 305
Absolute value of real number II 283
Acceleration I 202
Adiabatic line II 2
Algebraic functions, classification 1 43
Algebraic functions, differentiation I 178
Algebraic functions, equations (see Equations)
Algebraic functions, graphs I 121
Algebraic functions, implicit I 188
Algebraic functions, integration II 2
Amplitude of complex number II 305
Analytic function II 311
Angle between normal and focal radii of ellipse I 191
Angle between plane curves I 211
Angle between planes II 186
Angle between space curves II 184
Angle between straight lines in plane I 57
Angle between straight lines in space II 183
Angle between tangent and radius vector I 345
Angle eccentric, of ellipse I 304
Angle vectorial I 329
Arc, derivatives in plane polar coordinates I 347
Arc, derivatives in plane rectangular coordinates I 196
Arc, differential in plane polar coordinates II 79
Arc, differential in plane rectangular coordinates II 78
Arc, differential in space rectangular coordinates II 180
Arc, length defined I 195
Arc, length in plane polar coordinates II 77
Arc, length in plane rectangular coordinates II 75
Arc, length in space rectangular coordinates II 179
Arc, limit of ratio to chord I 195
Archimedes, spiral of I 332
Area of any surface II 241
Area of ellipse I 304 II 66 261
Area of lemniscate I 348
Area of parabolic segment I 216 II 95
Area of rose of three leaves II 69
Area of sphere II 242
Area of surface of revolution II 79
Area, center of gravity by double integration II 246
Area, center of gravity by single integration II 94 96
Area, derivative in polar coordinates I 348
Area, derivative in rectangular coordinates I 204 II 47
Area, determination by double integration II 239 240
Area, determination byline integral II 260
Area, determination in oblique coordinates II 66
Area, determination in polar coordinates II 67
Area, determination in rectangular coordinates II 04
Area, moment of inertia II 236
Area, projection of II 177
Area, representing definite integral II 41
Argument of complex number II 305
Asymptote of hyperbola I 145
Asymptote of hyperbolic spiral I 333
Asymptote, defined and illustrated I 128
Attraction by multiple integration II 252
Attraction by single integration II 86
Attraction of cylinder II 252
Attraction of wire II 87
Auxiliary circle of ellipse I 304
Axes of coordinates (see Coordinates)
Axes of ellipse I 141
Axes of hyperbola I 145
Axis of parabola I 147
Axis of revolution II 69
Axis of symmetry I 121
Axis, radical I 175
Beams, bending moment of II 149
Bemouilli’s equation II 148
Bessel’s equation II 359
Bessel’s functions II 360
Binomial theorem II 59
Bisection of straight line I 39
Boyle — Mariotte’s law I 43
Cardioid I 337
Cardioid, radius of curvature I 362
Cassini, ovals of I 338
Catenary, equation and graph I 281
Catenary, equation derived II 143
Catenary, property of II 152
Center of circle I 134
Center of conic I 238
Center of curvature I 356
Center of elliptic segment II 96 247
Center of gravity, defined in plane II 90
Center of gravity, defined in space II 245
Center of gravity, of parabolic segment II 95
Center of gravity, of plane area by double integration II 246
Center of gravity, of plane area by single integration II 94
Center of gravity, of plane curve II 92
Center of gravity, of quarter circumference II 93
Center of gravity, of solid II 248
Center of gravity, of solid or surface of revolution II 96
Center of gravity, of spherical segment II 97
Center of pressure II 98
Center of pressure of circle II 98
Change of coordinates (see Coordinates)
Change of limits in definite integral II 49
Chord of contact I 248
Chord of contact, supplemental I 264
Circle of curvature I 354
Circle with center on known line I 137
Circle, auxiliary of ellipse I 304
Circle, center of gravity of quarter circumference II 93
Circle, definition and general equation I 134
Circle, involute of I 311
Circle, parametric equations 1 303
Circle, polar equation I 342
Circle, pressure on II 89 98
Circle, special case of conic I 149
Circle, special case of ellipse I 142
Circle, tangent to known line I 136
Circle, through known point I 136
Circle, through three known points 1 138
Cissoid 1 151
Cissoid, polar equation I 341
Clairaut’s equation II 321
Coefficient of element of a determinant I 8
Coefficient, differential II 7
Coefficient, undetermined, in differential equations II 350
Coefficient, undetermined, in partial fractions II 104
Collinear points in a plane I 38
Collinear points in space II 188
Comparison test for convergence II 280
Complementary function II 349
Complex numbers, argument II 305
Complex numbers, conjugate 1 32
Complex numbers, defined I 31 II 304
Complex numbers, functions of II 307
Complex numbers, graphical representation II 304
Complex numbers, modulus of II 305
Complex numbers, operations with I 32 II 305
Components of force I 34
Components of velocity I 200
Concavity of plane curve I 112
Conchoid I 334
Cone II 165
Conics in oblique coordinates I 244
Conics, classification I 237
Conics, definition I 148
Conics, diameter I 252
Conics, general equation I 229
Conics, limiting cases I 234
Conics, polar I 247
Conics, polar equation I 343
Conics, tangent I 246
Conics, through five points I 241
Conics, treatment of numerical equations I 240 Hyperbola Parabola)
| Conjugate axis of hyperbola I 145
Conjugate axis of hyperbola, complex numbers I 32
Conjugate axis of hyperbola, diameters of conic I 258
Conjugate axis of hyperbola, functions II 313
Conjugate axis of hyperbola, hyperbolas I 262
Conoid II 173
Constant of integration I 206 II 12
Constant, defined I 40
Contact, chord of I 248
Contact, point of I 105
Continuity of function of one variable I 101
Continuity of function of two variables II 200
Convergence, absolute II 283
Convergence, comparison test II 280
Convergence, definition II 279
convergence, ratio test II 281
Convergence, region of II 285
Coordinates, Cartesian I 224
Coordinates, change from plane rectangular to oblique I 224
Coordinates, change from plane rectangular to polar I 341
Coordinates, change from space rectangular to cylindrical II 231
Coordinates, change from space rectangular to polar II 231
Coordinates, change in multiple integrals II 234
Coordinates, change in partial derivatives II 208
Coordinates, change of direction of plane axes I 221
Coordinates, change of direction of space axes II 193
Coordinates, change of plane origin I 217
Coordinates, change of space origin II 193
Coordinates, cylindrical II 231
Coordinates, oblique in plane I 223
Coordinates, oblique in space II 159
Coordinates, polar in plane I 329
Coordinates, polar in space II 231
Coordinates, rectangular in plane I 35
Coordinates, rectangular in space II 158
Curvature, center of I 356
Curvature, center of gravity II 92
Curvature, circle of I 354
Curvature, definition I 353
Curvature, degree I 16ff
Curvature, direction of space curve II 182
Curvature, equations of space curve II 170
Curvature, parametric equations of plane curve I 302
Curvature, polar equation of plane curve I 330
Curvature, radius of, in parametric form I 360
Curvature, radius of, in polar cobrdinates I 361
Curvature, radius of, in rectangular cobrdinates I 354
Curvature, second-degree curves I 229
Curve with given slope I 207 Area Curvature)
Curve, Cartesian equation of plane curve I 44
Curve, slope of plane curve I 99
Curve, tangent to plane curve I 104
Curve, tangent to space curve II 189
Curves with common points of intersection I 171
Curves, family of II 316
Curves, intersection of I 161
Cycloid I 305
Cycloid, radius of curvature I 361
Cycloid, tangent to I 315
cylinders II 169
Cylindroid II 173
Definite integrals with infinite integrand II 53
Definite integrals with infinite limits II 52
Definite integrals, applications to geometry II 64 236
Definite integrals, applications to mechanics II 86 236 1
Definite integrals, change of coordinates II 234
Definite integrals, change of limits II 49
Definite integrals, defined II 39
Definite integrals, differentiation II 216
Definite integrals, double II 222
Definite integrals, element II 64
Definite integrals, evaluation II 47
Definite integrals, graphical representation II 41
Definite integrals, limits of II 40
Definite integrals, properties II 45
Definite integrals, triple II 230
Degree of plane curve I 166
Derivative of f(x, y) when x and y are functions of s and t II 206 214
Derivative of f(x, y) when x and y are functions of t II 202 214
Derivative of polar coordinates with respect to plane arc I 347
Derivative of rectangular coordinates with respect to plane arc I 196
Derivative of rectangular coordinates with respect to space arc II 182
Derivative, application to velocity I 198
Derivative, applications I 202 203
Derivative, defined I 102
Derivative, higher I 111 187
Derivative, higher partial II 212 214
Derivative, illustration of partial II 199
Derivative, illustrations of I 203
Derivative, partial II 198
Derivative, second I 110
Derivative, sign of first I 106
Derivative, sign of second I 111
Derivative, theorems on I 179
Descartes’ folium I 132
Descartes’ folium, rule of signs I 87
Determinants, defined I 4
Determinants, elements I 4
Determinants, expansion I 8
Determinants, minors I 4
Determinants, properties I 6
Determinants, solution of equations I 1 12—23
Diameters of conic 1 252
Diameters of ellipse I 256
Diameters of hyperbola I 257
Diameters of parabola I 254
Diameters, conjugate I 258—262
Differential equations,  II 146
Differential equations, , Bernoulli’s II 148
Differential equations, , Bessel’s II 359
Differential equations, , Clairaut’s II 321
Differential equations, , defined II 141
Differential equations, first order not of first degree II 318
Differential equations, first order, existence of solution II 31
Differential equations, Laplace’s, in plane II 3
Differential equations, Laplace’s, in three dimensions II 8
Differential equations, Legendre’s II 357
Differential equations, linear II 340
Differential equations, linear, constant coefficients, any order II 348
Differential equations, linear, constant coefficients, first order II 341
Differential equations, linear, constant coefficients, second order II 343
Differential equations, linear, constant coefficients, solution by partial fractious II 347
Differential equations, linear, constant coefficients, solution by undetermined coefficients II 350
Differential equations, linear, variable coefficients II 354
Differential equations, Mdx + Ndy=0 exact II 270
Differential equations, Mdx + Ndy=0 linear II 14
Differential equations, Mdx+ Ndy=0homogeneous II 145
Differential equations, partial, linear of first order II 364
Differential equations, Pdx + Qdy + Rdz=0 integrable case II 328
Differential equations, Pdx + Qdy + Rdz=0 nonintegrable case II 335
Differential equations, problems in geometry, n 141 151 327
Differential equations, problems in mechanics II 142 149 153 346 367 370
Differential equations, second order, special cases II 149
Differential equations, simultaneous, linear, constant coefficients II 353
Differential equations, singular solutions II 325
Differential equations, solution by scries II 318 3
Differential of plane arc II 78
Differential of space arc II 180
Differential, defined for one independent variable II 6
Differential, defined for several independent variables II 201
Differential, exact II 269
Differential, formulas II 10
Differential, graphical representation for one independent variable II 8
Differential, graphical representation for two independent variables II 206
Differential, higher order II 10
Differential, partial II 202
Differential, total II 200
Differential, w hen equal to zero II 209
Differentiation of algebraic functions I 178
Differentiation of definite integrals II 216
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