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| Ïîèñê ïî óêàçàòåëÿì |
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| Fripp A., Fripp J., Fripp M. — Just-in-Time Math for Engineers |
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| Ïðåäìåòíûé óêàçàòåëü |
A posteriori 326
A priori 326
Abscissa 24
Absolute value 9—10 144
Acceleration 129—130 168—171
Adding trigonometric functions 94—98
Addition 2
Algebra 37—58
angle 83
Angle, acute 84
Angle, complementary 83 84
Angle, measurement 85—87
Angle, obtuse 84
Angle, supplementary 84 88
Arctangent 102
Associative law, addition 4
Associative law, multiplication 5
axes 23
Base 10 15
base 2 15—16
Bell curve 202
bernoulli 198
Binary number system 16
Binomial distribution 196—199
Boundary value problems 250—252
Butterfly effect 329
Calculus 125—176
Calculus, applications of 168—176
Calculus, differential 126—137
Calculus, integral 148—151
Cancellation rule 8
Cartesian coordinate system 23
Center of mass 203
Chain rule 137
Chaos 325—334
Characteristic equation 235
Chi-square test 219—220
Coefficient of friction 118
Combinations 189
Commutative law 52
Complementary angle 83 88
Complementary function 234
Completing the square 48
Complex conjugate 50
complex numbers 7—8 50
Compound function 137—143
Computer mathematics 311—323
Confidence interval 220—221
Contingency table 195
Continuity equation 287—288
Continuous function 144
Convergence 145
Conversion factors, table 337
coordinates 24 26
Coordinates, transformation of 293
Correlation 213—217
Cosine 90
Cost function 316
Coulomb’s law 302
Cross product 265 272—275
Curl 284 290—292
Current loop, force on 302—305
Curve fitting 217—219
Cylindrical coordinate 172
Damping 239—243
Data analysis, computerized 311—312
decimal 4
Definite integral 153
Degree of a polynomial 40
Dependent equations 62
Dependent variable 20—22
Derivative of a function 130—137
Derivative of a function, compound functions 137—143
Derivative of a function, polynomials 130—133
Derivative of a function, table of common 335
Determinant 72 276
Diagonal matrix 77
Differential calculus 125 126—137
Differential equations 227—263
Differential equations, general solution 232
Differential equations, multiple roots of 243
Differential equations, particular solution 234—235
Differential equations, series solutions to 252—253
Differentiation, computer 314
Dimensionless variable 104
Direct integration 248—250
Discretized vs. digitized 313
Discriminant 49
Dissipation 111—112
Distance between two points 24
Distance equation 92 93 269
Distribution function 183—184
Distributions 196—199
Distributive law 5
Divergence 284
Divergence theorem 284
Division 3
Dot product 265 270—272
Electrical circuit analysis 79—80
Electromagnetic theory, vectors in 297—301
Equality 2
Equations with more than two variables 74—76
Equipotential lines 282
Euler column 250
Euler — de Moivre formula 233
Event 178
Excel, Microsoft 322
Experiment 178
Exponents 11
Factorial 186
Factoring 40 51
Finite difference technique 312 320
Finite element techniques 318
First derivative 141
First moment 204—206
First-degree polynomials 43
Flux lines 288
Fourier analysis 159—162
Fourier series 146
Fractal pattern 330
Fractions 4
Free-body diagram 114 319
frequency 105
Frequency, function 183
Frequency, shift 110
Friction 118—120
Functions 19—35 125
Functions, graphing 20 23—24
Functions, periodic 103
Functions, trigonometric 90—91
Fundamental theorem of calculus 151—156
Gaussian distribution 207—210 224—226
Gauss’s law 301
General solution to differential equation 232
Gradient 282
Gradient descent optimization 317
Graphing, functions 20 23—24
Graphing, two linear equations 59—61
Gravity 227
Greek alphabet 339
Homogeneous equations 74 234
Hypotenuse 90
Identities, trigonometric 98
imaginary numbers 7 50
Inconsistent system 63
Indefinite integral 153
Independent functions 236
Independent variable 20—22
Inequality symbols 8—9
Inflection point 142—143 212
| Inner product 270
Integers 2
Integral calculus 126 148—151
Integrals line 288
Integrals table of common 336
Integration 153
Integration by parts 154—156
Interior angles 99—101
Interval of existence 145
Isosceles triangle 99
j in electrical engineering 7 50
Koch snowflake 331
Kronecker delta 271
Law of Sines, Cosines 101—103 115
Least squares, method of 217
Limits 144
Line integrals 288—290
Linear differential equations 234
Linear differential equations with constant coefficients 235
Linear differential operator 234
Linear equations and functions 28 44
log functions 33—36
Log plots 35—36
Log tables 14
Logarithms 13—15
Lorentz force 301—302
L’Hopital’s Rule 147
Maclaurin’s expansion 146
MATLAB 321—322
Matrix 59—81 319
Maxima 104 140 212
Measurement 211
Method of least squares 217
Minima 104 140 316
moment 202
Monte Carlo simulation 317
Multiplication 3
Natural logarithm 134
Navier — Stokes equations 261—263
Net circulation integral 288
Nonhomogeneous differential equation 244—248
Nonlinear differential equation 234
Nonlinear functions 32
Normalized data 215
Numbers 2—4 6—7
numbers, bases 15
Numbers, complex 7—8
numbers, imaginary 7
Numbers, irrational 6
numbers, negative 2
Numbers, rational 6
Numerical constants, table 338
Optics 120
optimization techniques 316—318
Ordered sets 26 44
Ordinate 24
Origin 23
Orthogonal curvilinear coordinates 292—297
Orthogonal unit vectors 269 281 283
Oscillating force on spring-mass-damp system 244
Outcome 178
Partial derivative 254
Pascal’s triangle 199—202
Periodic function 103
periodicity 103
Permutation 186
Phase 107 109
Phase difference 107—110
Phase shift 107
Plane 278
Plotting functions 23—24
Poisson distribution 209—213
Poles 51
Polynomials 39—40
Polynomials, degree of 40
Polynomials, dividing 41
Polynomials, multiplying 41
Polynomials, second-degree 46—54
Pressure 171
probability 177—195
probability distribution 204
Projectile motion 305—309
Pythagorean Theorem 25 87 102
Quadrangle 99
Quadrant 84
Quadratic equations 46 51
Quadratic formula 49
Radian 86 88—89
Reciprocal 8
Recursion formula 199
Reflection 120—121
Refraction 120—121
Regression analysis 217—219
Regression line 218
right triangle 25 90
Right-hand rule 268
Root mean square 156 167
Roots 12 51
scalar 266 268
Scalar matrix 69
Scalar product 270
Scalar, solving for values 269—270
Second derivative 141—143
Second moment 204
Second-degree polynomials 46—50
SEQUENCE 145
Series 144
Shotgun approach to finding minima 317
Sierpinski’s triangle 332—333
Signal noise 316
Sine 90
Sine, law of 101
Sine, wave 104
slope 26—28
Smooth function 144
Snell’s law 122
Solving for x 39
Solving systems of equations 62—70
Solving systems of equations, graphing method 59—66
Solving systems of equations, matrix method 68—74
Solving systems of equations, substitution method 66—68
Spherical coordinates 294
Spring constant 228
Spring-mass-damper system 319
Square matrix 69
Square root 50
Standard deviation 211
Statics 113—117
Subtraction 2
Superposition 232
Supplementary angle 84 88
Tangent 90
Taylor’s expansion 146
Term 41
Transformation of coordinates 193
Translation of coordinates 31
Triangle, isosceles 99
Triangle, right 25 90
Triangular form 69
Trigonometric distance equation 93
Trigonometric identities 98
Trigonometry 83—123
Triple scalar product 276
Triple vector product 277
Unit vector 268—269
UNITS 3 63 129
vector calculus 265—309 280—282
Vectors 113 266
Vectors, magnitude 267
Vectors, products 270—275
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