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Thompson J.E. — Calculus for the Practical Man |
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Предметный указатель |
, derivative of 304
Air resistance, acceleration against 260
Alternating current, effective value of 256
Angle measure and functions 49
Circle, and equilateral hyperbola 311
Curve, area under 188
Curve, length of 197
Curve, maximum and minimum points on 96
Definite integral 192
Derivative, 298
Derivative, formulas 145
Derivative, function 15
Derivative, graphical interpretation of 84
Derivative, second and higher 70
Differential equations 255
Differentials 4
Differentials, constant and negative variable 9
Differentials, coordinates of a curve 82
Differentials, exponential function of variable 136
Differentials, formulas of 24
Differentials, power of a variable 23
Differentials, product of constant and variable 10
Differentials, product of two variables 21
Differentials, quotient of two variables 22
Differentials, secant and cosecant of angle 54
Differentials, sine and cosine of angle 51
Differentials, square of variable 18
Differentials, square root of variable 21
Differentials, sum or difference of variable 7
Differentials, tangent and co-tangent 52
e, calculation of 300
Falling bodies, laws of 235
Formulas, differential 24
Formulas, differential and derivative 145
Formulas, integral 153
Functions, circular, and e 319
Functions, classification of 13
Functions, derivative of 15
Functions, differential of 14
Functions, graphs and 75
| Functions, hyperbolic 314
Functions, logarithmic and exponential 132
Functions, maximum and minimum values of 97
Functions, meaning of 11
Functions, second and higher derivatives of 70
Growth, natural law of mathematical expression for 288
Increase, population 233
Integral formulas, derived indirectly 160
Integral formulas, obtained from differentials 154
Integral sign, meaning of 186
Integral, definite 192
Integration and integrals 150
Integration by parts 181
Integration, constant of 196
Interest, compound, formula for 291
Length of paper or belting in a roll 245
Liquid, surface of in rotating vessel 269
Logarithms, calculation of 306
Logarithms, hyperbolic 308
Logarithms, natural, differential of 136
Maximum and minimum, determination of 99
Maximum and minimum, points on a curve 96
Maximum and minimum, values of a function 97
Parabola, the 273
Pendulum, time swing of 263
Projectiles, path and range of 238
Projectiles, path and range of, calculation of 316
Rate, derivative and velocity 66
Rate, derivative and velocity, acceleration 67
Rates 1
Rates, differential 4
Rates, steady 6
Rates, varying 3
Variables, differential of a constant and of a negative 9
Variables, differential of a sum or difference 7
Variables, differential of product of two 21
Variables, differential of the product of a constant 10
Variables, differential of the square of 18
Variables, differential of the square root of 21
Variables, exponential function of 136
Work done, gas and steam, expanding 278
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