Fripp A., Fripp J., Fripp M. — Just-in-Time Math for Engineers :: Электронная библиотека попечительского совета мехмата МГУ

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Fripp A., Fripp J., Fripp M. — Just-in-Time Math for Engineers

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Название: Just-in-Time Math for Engineers

Авторы: Fripp A., Fripp J., Fripp M.

Аннотация:

Just-In-Time Math is a concise review and summary of the mathematical principles needed by all engineering professionals. Topics covered include differential calculus, integral calculus, complex numbers, differential equations, engineering statistics, and partial derivatives. Numerous example engineering problems are included to show readers how to apply mathematical techniques to a wide range of engineering situations. This is the perfect mathematics refresher for engineering professionals who use such math-intensive techniques as digital signal processing.

*Provides complete coverage of mathematical tools and techniques most commonly used by today's engineers
*Includes conversion tables, quick reference guides, and hundreds of solved example problems based on common engineering situations

Язык:

Рубрика: Технология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 368

Добавлена в каталог: 02.07.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

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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