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Snyder V., Hutchinson J.I. — Differential And Integral Calculus
Snyder V., Hutchinson J.I. — Differential And Integral Calculus

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Название: Differential And Integral Calculus

Авторы: Snyder V., Hutchinson J.I.

Аннотация:

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2008

Количество страниц: 348

Добавлена в каталог: 27.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute value      59
Absolutely convergent      59
Acceleration      111
Actual velocity      105
Arc, length of      269
Area, by double integration      294
Area, derivative of      23
Area, formula for      255 256
Area, in polar coordinates      268
Area, in rectangular coordinates      260
Asymptotes      143
Average curvature      166
Bending, direction of      152
Binomial theorem      73
Cardioid, area of      268
Catenary      168 283
Catenary, length of arc      271
Catenary, volume of revolution      285
Catenoid      276
Cauchy’s form of remainder      71
Center of curvature      163
Change of variable      124
Circle, area by double integration      295
Circle, of curvature      163
Cissoid      168
Cissoid, area of      266
Component velocity      107
Concave      152
Concave, toward axis      157
Conditionally convergent      59
Conditions for contact      161
Conjugate point      184
Conoid      281
Constant      1
Constant, factor      31 199
Constant, of integration      200
Contact      159
Contact, of odd and even order      161
Continuity      13 113
Continuous function      13
Convergence      57
Convex      157
Convex, to the axis      157
Critical values      93
Cubical parabola      262
Cusp      182
Cycloid, length of      273
Cycloid, surface of revolution      277
Decreasing function      25
Definite integral      251
Definite integral, geometric meaning of      253
Definite integral, multiple integral      293
Dependent variable      1
Derivative      19 20
Derivative, of arc      138
Derivative, of area      23 142
Derivative, of surface      140
Derivative, of volume      140
Determinate value      78
Development      56 80
Differentials      110 196
Differentials, integration of      289
Differentials, total      117
Differentiating operator      24
Differentiation      24
Differentiation, of elementary forms      49
Direction of curvature      164
Discontinuous function      14
Divergent series      57
Ellipse, area of      263
Ellipse, evolute of      178 284
Ellipse, length of arc of      274
Ellipsoid, volume      280
Envelope      187
Epicycloid, length of      273
Equiangular spiral      282 284
Evaluation      80 81
Evolute      170
Evolute, of ellipse      176 271 284
Evolute, of parabola      175
Expansion of functions      56
Exterior rectangles      254
Family of curves      187
Formula for integration by parts      203
Formulas of differentiation      49 50
Formulas of integration      198 210
Formulas of reduction      217 218
Function      1
Hyperbolic branches      143
Hyperbolic spiral, area of      269
Hypocycloid, area of      263
Hypocycloid, length of arc of      271 273
Hypocycloid, volume of revolution of      278
Implicit function      120
Impossibility of reduction      218
Increasing function      25
Increment      13 15
Independent variable      1
Indeterminate form      77
Infinite      2
Infinite limits of integration      257
Infinite ordinates      145
Infinitesimal      2
integral      195
Integral, definite      251
Integral, double      292
Integral, multiple      292
Integral, of sum      199
Integral, triple      286 292
Integration      195
Integration, by inspection      197
Integration, by parts      203
Integration, by rationalization      231
Integration, by substitution      205 238
Integration, formulas of      198 210
Integration, of rational fractions      223
Integration, of total differential      289
Integration, successive      286
Integration, summation      248
Interior rectangles      251
Interval of convergence      57
Involute      170
Involute of circle      274 285
Lagrange’s form of remainder      70
Lemniscate, area of      268
Length of arc      269
Length of evolute      173
Length, polar coordinates      271
Length, rectangular coordinates      269
LIMIT      1
Limit, change of, in definite integral      295
Limits, infinite, for definite integral      257
Logarithm, derivative of      39
Logarithmic curve      263
Logarithmic spiral, length of arc      272
Maclaurin’s series      63
Maximum      91
Mean value theorem      75 257
Measure of curvature      166
Minimum      91
Multiple points      181
Natural logarithms      40
Non-unique derivative      25
normal      129
Notation for rates      108
Oblique asymptotes      147
Order of contact      160
Order of differentiation      121
Order of infinitesimal      8
Order of magnitude      7
Osculating circle      163
Osgood      57
parabola      171
Parabola, semi-cubical      262
Parabolic branches      143
Paraboloid      283
Parallel curves      175
PARAMETER      188
Partial derivative      114
Point of inflexion      153
Polar coordinates      133
Polar coordinates, subnormal      135
Polar coordinates, subtangent      135
Problem of differential calculus      16
Problem of integral calculus      195
Radius of curvature      164
Rates      105
Rational fractions, integration of      223
rationalization      231 233
Rectangles, exterior and interior      254
Reduction formulae      217—218
Reduction, cases of impossibility of      218
Remainder      61
Rolle’s Theorem      67
Singular point      179
slope      21
Solid of revolution      140
Sphere, volume by triple integration      297
Spheroid, oblate      276 278
Spheroid, prolate      276
Spiral, equiangular      137 282 284
Spiral, hyperbolic      269
Spiral, logarithmic      272
Spiral, of Archimedes      136
Standard forms      198 210
Stationary tangent      153
Steps in differentiation      24
Stirling      62
Subnormal      130
Subtangent      130
Summation      251
Surface of revolution      140
Surface of revolution, area of      274
Tacnode      182
Tangent      21 129
Taylor      62
Taylor’s series      66
Tests for convergence      58
Total curvature      166
Total differential      117
Tractrix      281
Tractrix, length of      285
Tractrix, surface of revolution of      285
Tractrix, volume of revolution of      285
Transcendental functions      38
Trigonometric functions, integration of      238
Variable      1
Volume of solid of revolution      277
Volumes by triple integration      295
Witch, area of      263
Witch, volume of revolution of      278 279
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