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De Morgan A. — Elementary Illustrations of the Differential and Integral Calculus
De Morgan A. — Elementary Illustrations of the Differential and Integral Calculus

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Название: Elementary Illustrations of the Differential and Integral Calculus

Автор: De Morgan A.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1899

Добавлена в каталог: 13.04.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$Point$, the word      129
Accelerated motion      57 60
Accelerating force      62
Advice for studying the Calculus      132 133
Angle, unit employed in measuring an      51
Approximate solutions in the Integral Calculus      132 133
Arc and its chord, a continuously decreasing      7 et seq. 39
Archimedes      127
Astronomical Ephemeris      76
Calculus, notation of      25 79
Circle cut by straight line, investigated      31 et seq.
Circle, equation of      31 et seq.
Co-ordinates      30
Coefficients, diflerential      22 et seq. 38 55 82 88 96 100 112
Complete Differential Coefficients      56
Constants      14
Contiguous values      112
Continuous quantities      7 et seq. 53
Curve, magnified      40
Curvilinear areas, determination of      124 et seq.
Density, continuously varying      130 et seq.
derivatives      19 21 22
Derived functions      19 et seq. 21
Differences, arithmetical      4
Differences, calculus of      89
Differences, of increments      26
Differential coefficients      22 et seq. 38 55 82
Differential coefficients, as the index of the change of a function      112
Differential coefficients, of higher orders      88
Differentials, partial      78 et seq.
Differentials, total      78 et seq.
Differentiation, implicit      94 et seq.
Differentiation, of complicated functions      100 et seq.
Differentiation, of the common functions      85 86
Differentiation, successive      88et seq.
Direct function      97
Direction      36
Equality      4
Equations, solution of      77
Equidistant values      104
Errors, in the valuation of quantities      75 84
Euler      27 124
Explicit functions      107
Falling bodies      56
Finite differences      88 et seq.
Fluxions      11 60 112
force      61—63
Functions, definition of      14 et seq.
Functions, derived      19 et seq. 21
Functions, direct and indirect      97
Functions, implicit and explicit      107 108
Functions, inverse      102 et seq.
Functions, of several variables      78 et seq.
Functions, recapitulation of results in the theory of      74
Generally, the word      16
Implicit, differentiation      94 et seq.
Implicit, function      107 108
Impulse      60
Increase without limit      5 et seq. 65
Increment      16 113
Independent variables      106
INDIRECT function      97
Indivisibles, method of      127 et seq.
Indivisibles, notion of, in mechanics      129 et seq.
Infinite, the word      128
Infinitely small, the notion of      12 38 49 59 83
Infinity, orders of      42 et seq.
Integral calculus      73 115
Integral Calculus, notation of      119
Integrals, definition of      119 et seq.
Integrals, indefinite      122 123
Integrals, relations between differential coefficients and      121
Intersections, limit of      46 et seq.
Inverse functions      102 et seq.
Iron bar continually varying in density, weight of      130 et seq.
Ladder against wall      43 et seq.
Lagrange      124
Laplace      124
Leibnitz      11 13 38 42 48 59 60 83 123 124 128 129
Limit of intersections      46 et seq.
Limiting ratios      65 et seq. 81
Limits      26 et seq.
Logarithms      20 38 86 87 112
Magnified curve      40
Motion, accelerated      60
Motion, simple harmonic      57
Newton      11 60
Notation, of the Differential Calculus      25 79
Notation, of the Integral Calculus      119
Orders of infinity      42 et seq.
Orders, differential coefficients of higher      88
Parabola, the      30 124 127
Partial, differential coefficients      96
Partial, differentials      78 et seq.
Points, the number of, in a straight line      129
Polygon      38
Proportion      2 et seq.
Quantities, continuous      7 et seq. 53
Ratio, defined      2 et seq.
Ratio, of two increments      87
Ratios, limiting      65 et seq. 81
Rough methods of solution in the integral Calculus      132 133
Series      15 et seq. 24
Signs      31 et seq.
simple harmonic motion      37
SINEs      87
Singular values      16
Small, has no precise meaning      12
Specific gravity, continuously varying      130 et seq.
Successive differentiation      88 et seq.
Sun's longitude      76
Tangent      37 38 40
Taylor’s Theorem      15 et seq. 19
Time, idea of      4 110
Total, differential coefficient      100
Total, differentials      78 et seq.
Total, variations      95
Transit instrument      84
Uniformly accelerated      57 60
Values, contiguous      112
Values, equidistant      104
Variables, functions of several      78 et seq.
Variables, independent and dependent      14 15 106
Variations, total      95
Velocity, angular      59
Velocity, linear      52 et seq.
Weight of an iron bar of which the density varies from point to point      130 et seq.
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