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Perry J. — The Calculus for Engineers
Perry J. — The Calculus for Engineers

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Название: The Calculus for Engineers

Автор: Perry J.

Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Fourth Edition

Год издания: 1897

Количество страниц: 382

Добавлена в каталог: 14.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$d^2s \over dt^2$      24
$e^X$      161
$e^{\alpha x} \cos \beta x$      286
$e^{\alpha x} \sin \beta x$      10 285
$e^{\alpha x}$      10
$P_m (\theta)$      350
$x \cdot \epsilon^{\alpha x}$      285
$X^n$      6—160
$\cos^{-1}x$      277
$\cot x$      275
$\cot^{-1}x$      277
$\tan ^{-1} x$      277
${dy \over dx} = {dy \over dz} \cdot {dz \over dx}$      155 271
${dy \over dx} \cdot {dx \over dy} =1$      272
Academic exercises      Chap. III
Acceleration      24 30 188 220
Adiabatic law      92 148 167
ADVANCE      186
Air in furnaces      65
Air turbine      128
Alternating current formulae      183—185 189 209 239
Alternator      178
Alternators in parallel and series      259
Amplitude      172
Analogies in beam problems      108
Analogies in beam problems in mechanical and electrical systems      213
Angle between two straight lines      16
Angular displacement      33
Angular vibrations      212
Apparent power      209
Approximate calculations      2
Arc, length of      170
Archimedes, spiral of      302
Area, centre of      85
Area, centre of catenary      171
Area, centre of curves      69
Area, centre of parabola      71
Area, centre of ring      80
Area, centre of sine curve      197
Area, centre of surfaces of revolution      75 78
Asymptote      301
Atmospheric pressure      166
Attraction      87 344
Average value of product of sinc functions      185
Ayrton      53 199
Ballistic effects      181
Basin, water in      130
Beams      48
Beams, fixed at the ends      100—108
Beams, of uniform strength      102
Beams, shear stress in      115
Beams, standard cases      97—99
Beats in music      194
Belt, slipping of      165
Bending      94—121
Bending in struts      262
Bessels      205 352 354
Bifilar suspension      179
Binomial theorem      34
Boiler, heating surface      63
Bramwell's valve gear      193
Bridge, suspension      61
Calton Hill      357
Capacity of condensers      162 236 240
Cardioide      302
Carnot cycle      145 152
Carnot's function      115
Catenary      62 170
Central force      344
Centre of gravity      73 85
Centrifugal force      123
Centrifugal pump      131
Chain, hanging      61
Change of state      150
Change of variable      339
Characteristic of dynamo      296
circle      10
Circle, moment of inertia of      82
Circuitation in electricity      131
Cissoid      302
Cisterns, maximum volume of      49
Clairaut's equation      334
Clearance in gas engines      150
Clearance in pumps      131
Co-ordinate geometry      6
Co-ordinates, polar      310 342
Co-ordinates, r, $\theta$, $\phi$      347
Commutative law      231
Companion to cycloid      301
Complete differential      143—145 153
Compound interest law      161 164
Concavity      306
Conchoid      302
Condensation in steam cylinders      54 153 358
Condenser, annulling self-induction      247
Condenser, electric      162 212 236
Condenser, with induction coil      257
Conductivity of heat      341 354
Conductors, network of      237
Cone      73 78
Conjugate point      301
Connecting rod      191
Constraint      179
Continuous beams      111
Convexity      306
Cooling, Newton's law of      163
Cosines, development in      207
Coupling rod      265
Craigleith quarry      357
Crank      173
Crank and connecting rod      12 191
Curl      134
Current, effective      200—202
Current, electric      33 168 189 239
Curvature      96 120 169 306
Curvature, of beams      96—121
Curvature, of struts      262
CURVES      43
Curves, area of      69
Curves, lengths of      77 312
Cusp      301
Cycloid      12 276 302 312
Cycloid, companion to      301
Cylinder, beat conduction in sides of stream engine      356
Cylinder, moment of inertia of      82 85
Cylinders, strength of thick      88
Cylindric body rotating      90
Damped vibrations      10 211 225—228
Definite integral      68
Deflection of beams      96 118
DeMoivre      320
Development, Fourier      202
Development, in cosines      207
Differential coefficient      21 28 268
Differential coefficient, complete      143 153
Differential coefficient, equation      220—225
Differential coefficient, equations, general exercises on      337
Differential coefficient, equations, partial      341 247 346—351
Differential coefficient, partial      139
Differentiation of function of more than one variable      340
Differentiation of function of product      269
Differentiation of function of quotient      270
Diffusivity for heat      355
Discharge of condenser      150
Displacement, angular      33
Distributive law      231
Drop in transformers      255 257
Dynamics of a particle      344
Dynamo, series      2 16
Earth, attraction of      87
Earthquake recorder      215
Economy in electric conductors      55 57—59
Economy in electric lamps      294
Economy in hydraulic mains      58
Eddy currents      209
Effective current      200—202
Efficiency of gas-engine      150
Efficiency of heat-engine      41
Efficiency of heating surface      64
Elasticity      93 141
Electric alternator      178
Electric alternator, circuit      33 168 178 189 208 212 236 239 247
Electric condenser      162 236 240—215
Electric condenser and Ruhmkorf coil      257
Electric condenser, as shunt      243 246
Electric conductor      168
Electric conductor, economy in      55 57—59
Electric current, effective      200—202
Electric lamps, economy in      294
Electric, curve make and break curve      201 205
Electric, illustration, alternating currents      199
Electric, power meter      209
Electric, time constant of coil      60 160
Electric, traction      59
Electric, transformer      33 249 253
Electric, vibration      156 212 213 225
Electric, voltage, effective      202 247
Electric, voltaic cells      51 52
Electricity, partial differential equations in      349
Electricity, problem in      33 51 52 57—59 60 134—136 156 157 162 168 178 182—186 189 195 202 205 208—210 212 225 236 239—261
Electricity, self-induction in      135
Electrodynamometer      200
Electromagnetic theory, fundamental laws of      134
Electromotive force      134
Electromotive force in moving coil      178
ellipse      8 10 11 83 158 276
Ellipsoid of revolution      76
Elliptic function      339
Elliptic integral      339
Empirical formulae      17
Energy of moving body      156
Energy, intrinsic      143
Energy, kinetic      31 180
Energy, potential      180
Energy, stored in compressed spring      33
Engineer      1
entropy      143 152
Envelopes      309
Epicycloid      302
Epitrochoid      301
Equality of forces      217
Equations, differential      220—225
Equations, partial differential      341 346—351
Equations, solving      51
Equiangular spiral      186
Euler's law for struts      265
Evanescent term      169 190 208 240
Exact differential equation      339
Exercise      38
Exercise, general, on differential equations      337
Exercise, general, on integral equations      279
Exercise, maxima and minima      295
Exercise, on curves      169 311
Exercise, on integration of sin x and cos x      182
Exercise, on Maclaurin      319
Expansion of function      317—320
Expansion of gas      17
experiments      7
explosions      48
Exponential and trigonometrical formulae      177 185 190 222 320
Exponential and trigonometrical theorem      161
Factor, integrating      328
Factorial fractions      235
Factorials and gamma function      369
Falling body      21 30
Feedwater missing in steam cylinder      358
Ferranti effect      247
Field, magnetic, about straight wire      134
Field, magnetic, rotating      195 251
Flow of gas      54
Flow of liquid, hypothetical      133
Flow, maximum, of gas      128
Fluid friction      167
Fluid Motion      125
Fluid pressure      121
Fluid whirling      123
Fluid work done be      66
Flywheel      84
Flywheel, stopped by friction      167
Force of blow      26
Force of gravity      87
Force unit of      26
Force, central      344
Force, due to jet      27
Force, due to jet, pressure of fluids      121
Force, lines of      124
Forces on moving bodies      180
Forms, indeterminate      299
Formulae of reduction      284 286
Fourier development      208
Fourier exercises on      315
Fourier proof      183 184 197 201
Fourier rule      202 204
Fourier theorem      195
Fractions, partial      291
frequency      186
Friction at fluid      167
Friction at pivot      94
Friction at solid      168
Frustrum of cone      78
Fuel on voyage      49
Function      8
Function of more than one variable      137 341
Function, average value of sine      185
Function, Bessel      8352
Function, elliptic      339
Function, Gamma      369
Function, hyperbolic      172 360
Fundamental integrals      278
Fundamental integrals, rulers on electricity      134
Furnaces, air in      65
G      26
Gamma functions      235 369
Gas      38
Gas, elasticity of      94
Gas, engine      91
Gas, engine, diagram, heat in      272
Gas, engine, formulae      17 91 147 150 272
Gas, flow of      53 127
Gas, perfect      136 150
Gas, work done by      66 72
Gauge notches      133
Gaussage      134
Gear, valve      193
General ease of two coils      249
General ease of two coils, exercises in differentiations      337
General ease of two coils, in differentiation and integration      279
General ease of two coils, rule      271
General ease of two coils, rule for differential equations      224
General rale for operators      237
Girders, continuous      111
Girders, shear stress in      117
Glossary      301 302
Gordon's rule for struts      264
Gradient, temperature      354
Graph exercises      8—10
Graphical Fourier development      204
Graphical Fourier development, work in beams      108
Gravity      87
Gravity, motion of centre of      230
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