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Murray D.A. — A first course in infinitesimal calculus
Murray D.A. — A first course in infinitesimal calculus



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Название: A first course in infinitesimal calculus

Автор: Murray D.A.

Аннотация:

Infinitesimal calculus is the part of mathematics concerned with finding tangent lines to curves, areas under curves, minima and maxima, and other geometric and analytic problems.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1903

Количество страниц: 439

Добавлена в каталог: 24.03.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Series, harmonic      304
Series, oscillatory      304
Series, uniformly convergent      311 312
Serret      320
Sign of area      197 245
Simpson, Simpson's rule      225
Sin x, $sin^{-1} x$, expansions      314 322 325
Singly periodic functions      221
Singular points      293 295
Singular solution      340
Sinusoid      see "Examples"
slope      5 6 11 84 88 129
Slopes, curve of      44
Smith, C., Solid Geometry      253 299
Smith, D.E., Famous Problems      13
Smith, W.B., Infinitesimal Analysis      135 222 354
Snyder      see "Calculus"
Solution      see Differential Equation"
Speed      2 3 4
Sphere, surface      252 254
Sphere, volume      203 237 238
Spiral      see "Examples"
Stationary tangent      129
Stirling      327
stop points      295
Subnormal, polar      89
Subnormal, rectangular      84
Substitutions in integration      175 207 215
Subtangent, polar      89
Subtangent, rectangular      84
Successive differentiation      107
Successive differentiation derivatives      107 112
Successive differentiation differentials      112
Successive differentiation of a product      113
Successive differentiation, integration      230 232
Successive differentiation, total derivatives      143
Summation, examples      150
Summation, integration as      154
Surfaces, areas of      249 253
Surfaces, volumes      199 235 238 240
Tangent      5
Tangent, inflexional      129
Tangent, length      84 89
Tangent, stationary      129
Tanner      see "Analytic Geometry"
Taylor's theorem and series applications to algebra      332
Taylor's theorem and series applications to calculation      49 137 322 323 324
Taylor's theorem and series applications to contact of curves      332
Taylor's theorem and series applications to maxima and minima      331
Taylor's theorem and series for functions of one variable      49 96 318 319 323 328 330
Taylor's theorem and series for functions of several variables      327
Taylor's theorem and series, approximations by      49 137 322
Taylor's theorem and series, expansions by      321—324
Taylor's theorem and series, forms of      320 321 323
Taylor's theorem and series, historical note      326
Taylor, F.G.      see "Calculus"
Test-ratio      308
Time-rate of change      45 135
Todhunter      see "Calculus"
Total derivative      136 143
Total derivative differential      136
Total derivative rate of variation      134
Tractrix      see "Examples"
Trajectories, orthogonal      341 343
Transcendental functions      17
Transcendental numbers      13
Trapezoidal rule      223
Trigonometric functions, differentiation of      71—80
Trigonometric functions, direct and inverse      17 76
Trigonometric functions, integration of      215
Trigonometric functions, substitutions by      207
Trigonometry, Hobson      303 314 363
Trigonometry, Murray      76
Triple points      204
Turning points, values      117
Undulation, points of      128
Uniform convergence      311 312
Value      see "Average" "Limits" "Maximum" "Mean" "Mean "Turning"
Value of $\pi$, computation of      313 314
Van Vleck, E.B.      305
Variable, change of      145
Variable, dependent, independent      13 15
Variation of functions      116
Variation, total rate of      134
Velocity      92
Volumes, methods of finding      199 235 238 240
Wallis      149 246
Wentworth      see "Analytic Geometry"
Whittaker, Modern Analysis      15 29 304 309
Williamson      see "Calculus"
Witch of Agnesi      see "Examples"
Wren      247
Young      see "Calculus"
1 2 3
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