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

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Ќазвание: Just-in-Time Math for Engineers

јвторы: Fripp A., Fripp J., Fripp M.

јннотаци€:

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: en

–убрика: “ехнологи€/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 2003

 оличество страниц: 368

ƒобавлена в каталог: 02.07.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
A posteriori      326
A priori      326
Abscissa      24
Absolute value      9Ч10 144
Acceleration      129Ч130 168Ч171
Adding trigonometric functions      94Ч98
Addition      2
Algebra      37Ч58
angle      83
Angle, acute      84
Angle, complementary      83 84
Angle, measurement      85Ч87
Angle, obtuse      84
Angle, supplementary      84 88
Arctangent      102
Associative law, addition      4
Associative law, multiplication      5
axes      23
Base      10 15
base 2      15Ч16
Bell curve      202
bernoulli      198
Binary number system      16
Binomial distribution      196Ч199
Boundary value problems      250Ч252
Butterfly effect      329
Calculus      125Ч176
Calculus, applications of      168Ч176
Calculus, differential      126Ч137
Calculus, integral      148Ч151
Cancellation rule      8
Cartesian coordinate system      23
Center of mass      203
Chain rule      137
Chaos      325Ч334
Characteristic equation      235
Chi-square test      219Ч220
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      7Ч8 50
Compound function      137Ч143
Computer mathematics      311Ч323
Confidence interval      220Ч221
Contingency table      195
Continuity equation      287Ч288
Continuous function      144
Convergence      145
Conversion factors, table      337
coordinates      24 26
Coordinates, transformation of      293
Correlation      213Ч217
Cosine      90
Cost function      316
CoulombТs law      302
Cross product      265 272Ч275
Curl      284 290Ч292
Current loop, force on      302Ч305
Curve fitting      217Ч219
Cylindrical coordinate      172
Damping      239Ч243
Data analysis, computerized      311Ч312
decimal      4
Definite integral      153
Degree of a polynomial      40
Dependent equations      62
Dependent variable      20Ч22
Derivative of a function      130Ч137
Derivative of a function, compound functions      137Ч143
Derivative of a function, polynomials      130Ч133
Derivative of a function, table of common      335
Determinant      72 276
Diagonal matrix      77
Differential calculus      125 126Ч137
Differential equations      227Ч263
Differential equations, general solution      232
Differential equations, multiple roots of      243
Differential equations, particular solution      234Ч235
Differential equations, series solutions to      252Ч253
Differentiation, computer      314
Dimensionless variable      104
Direct integration      248Ч250
Discretized vs. digitized      313
Discriminant      49
Dissipation      111Ч112
Distance between two points      24
Distance equation      92 93 269
Distribution function      183Ч184
Distributions      196Ч199
Distributive law      5
Divergence      284
Divergence theorem      284
Division      3
Dot product      265 270Ч272
Electrical circuit analysis      79Ч80
Electromagnetic theory, vectors in      297Ч301
Equality      2
Equations with more than two variables      74Ч76
Equipotential lines      282
Euler column      250
Euler Ч 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      204Ч206
First-degree polynomials      43
Flux lines      288
Fourier analysis      159Ч162
Fourier series      146
Fractal pattern      330
Fractions      4
Free-body diagram      114 319
frequency      105
Frequency, function      183
Frequency, shift      110
Friction      118Ч120
Functions      19Ч35 125
Functions, graphing      20 23Ч24
Functions, periodic      103
Functions, trigonometric      90Ч91
Fundamental theorem of calculus      151Ч156
Gaussian distribution      207Ч210 224Ч226
GaussТs law      301
General solution to differential equation      232
Gradient      282
Gradient descent optimization      317
Graphing, functions      20 23Ч24
Graphing, two linear equations      59Ч61
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      20Ч22
Inequality symbols      8Ч9
Inflection point      142Ч143 212
Inner product      270
Integers      2
Integral calculus      126 148Ч151
Integrals line      288
Integrals table of common      336
Integration      153
Integration by parts      154Ч156
Interior angles      99Ч101
Interval of existence      145
Isosceles triangle      99
j in electrical engineering      7 50
Koch snowflake      331
Kronecker delta      271
Law of Sines, Cosines      101Ч103 115
Least squares, method of      217
Limits      144
Line integrals      288Ч290
Linear differential equations      234
Linear differential equations with constant coefficients      235
Linear differential operator      234
Linear equations and functions      28 44
log functions      33Ч36
Log plots      35Ч36
Log tables      14
Logarithms      13Ч15
Lorentz force      301Ч302
LТHopitalТs Rule      147
MaclaurinТs expansion      146
MATLAB      321Ч322
Matrix      59Ч81 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 Ч Stokes equations      261Ч263
Net circulation integral      288
Nonhomogeneous differential equation      244Ч248
Nonlinear differential equation      234
Nonlinear functions      32
Normalized data      215
Numbers      2Ч4 6Ч7
numbers, bases      15
Numbers, complex      7Ч8
numbers, imaginary      7
Numbers, irrational      6
numbers, negative      2
Numbers, rational      6
Numerical constants, table      338
Optics      120
optimization techniques      316Ч318
Ordered sets      26 44
Ordinate      24
Origin      23
Orthogonal curvilinear coordinates      292Ч297
Orthogonal unit vectors      269 281 283
Oscillating force on spring-mass-damp system      244
Outcome      178
Partial derivative      254
PascalТs triangle      199Ч202
Periodic function      103
periodicity      103
Permutation      186
Phase      107 109
Phase difference      107Ч110
Phase shift      107
Plane      278
Plotting functions      23Ч24
Poisson distribution      209Ч213
Poles      51
Polynomials      39Ч40
Polynomials, degree of      40
Polynomials, dividing      41
Polynomials, multiplying      41
Polynomials, second-degree      46Ч54
Pressure      171
probability      177Ч195
probability distribution      204
Projectile motion      305Ч309
Pythagorean Theorem      25 87 102
Quadrangle      99
Quadrant      84
Quadratic equations      46 51
Quadratic formula      49
Radian      86 88Ч89
Reciprocal      8
Recursion formula      199
Reflection      120Ч121
Refraction      120Ч121
Regression analysis      217Ч219
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      269Ч270
Second derivative      141Ч143
Second moment      204
Second-degree polynomials      46Ч50
SEQUENCE      145
Series      144
Shotgun approach to finding minima      317
SierpinskiТs triangle      332Ч333
Signal noise      316
Sine      90
Sine, law of      101
Sine, wave      104
slope      26Ч28
Smooth function      144
SnellТs law      122
Solving for x      39
Solving systems of equations      62Ч70
Solving systems of equations, graphing method      59Ч66
Solving systems of equations, matrix method      68Ч74
Solving systems of equations, substitution method      66Ч68
Spherical coordinates      294
Spring constant      228
Spring-mass-damper system      319
Square matrix      69
Square root      50
Standard deviation      211
Statics      113Ч117
Subtraction      2
Superposition      232
Supplementary angle      84 88
Tangent      90
TaylorТs 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      83Ч123
Triple scalar product      276
Triple vector product      277
Unit vector      268Ч269
UNITS      3 63 129
vector calculus      265Ч309 280Ч282
Vectors      113 266
Vectors, magnitude      267
Vectors, products      270Ч275
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