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Fox H., Bolton W. — Mathematics for Engineers and Technologists
Fox H., Bolton W. — Mathematics for Engineers and Technologists

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Название: Mathematics for Engineers and Technologists

Авторы: Fox H., Bolton W.

Аннотация:

*Features real-world examples, case studies, assignments and knowledge-check questions throughout *Introduces key mathematical methods in practical engineering contexts
*Bridges the gap between theory and practice

Mathematics for Engineers and Technologists provides all the essential mathematical information an engineering student needs in preparation for real-life engineering practice. The authors present the subject from an engineering systems perspective - a uniquely student centred approach which introduces the need for the techniques under discussion, before introducing the techniques themselves. With easily accessible material introduced through case studies, assignments and knowledge-check questions, this book is designed to bridge the gap between academic study and vocational application.
The interactive style of the book brings the subjects to life, and activities and case studies keep the mathematics firmly rooted in the context of real life engineering practice, rather than focussing on theory alone.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 336

Добавлена в каталог: 18.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Accuracy      300
Alternating Current      x
Angular frequency      23
Approximations, making      243
Argand diagram      69
Argument      2
Attributes      298
Beam, deflection      ix 87 115 131 140
Boolean algebra      275
Boolean algebra, complementary law      276
Boolean algebra, De Morgan laws      277
Boolean algebra, product of sums      282
Boolean algebra, sum of products      282
Building, wind deflection      86
Cables, suspended      56
Capacitor, charging      41 43
Capacitor, discharging      41 43
Capacitor, time constant      42
Car suspension system      88
Centre of gravity      137
Centroid      137
Circular functions      22
Circular functions, $a cos \theta + b sin \theta$      34
Circular functions, cosine      24
Circular functions, inverse      37
Circular functions, manipulating      31
Circular functions, sine      24
Circular functions, sums of angles      32
Circular functions, tangent      24
Combinations      296
complex numbers      69
Complex numbers, addition      71
Complex numbers, argand diagram      69
Complex numbers, argument      70
Complex numbers, conjugate      69 73
Complex numbers, division      74
Complex numbers, manipulation      71
Complex numbers, modulus      70
Complex numbers, multiplication      72
Complex numbers, polar coordinates      70
Complex numbers, subtraction      71
Conjugate pair      69 73
Cyclic functions      26
D-operator      175
Damping factor      44 184 224
Decibel      49
Differential equation      159
Differential equation, boundary conditions      162
Differential equation, first-order      160 165 220
Differential equation, first-order, and step input      169
Differential equation, general solution      162
Differential equation, initial conditions      162
Differential equation, ordinary      159
Differential equation, particular solution      162
Differential equation, second-order      160 178 222
Differential equation, second-order, auxiliary equation      180
Differential equation, second-order, characteristic equation      180
Differential equation, second-order, complementary function      187
Differential equation, second-order, homogeneous      179
Differential equation, second-order, non-homogeneous      187
Differential equation, second-order, particular integral      187 190
Differential equation, separation of variables      165
Differential equation, solving      162
Differential equation, solving, by Laplace transform      213
Differentiation      99
Differentiation of a constant      102
Differentiation of a power      103
Differentiation of an exponential      106
Differentiation of trigonometric function      103
Differentiation, Chain rule      112
Differentiation, D-operator      175
Differentiation, function of a function rule      112
Differentiation, inverse functions      122
Differentiation, log functions      122
Differentiation, order      114
Differentiation, product rule      109
Differentiation, quotient rule      110
Differentiation, rules      108
Differentiation, sum rule      108
Distributions      300
Distributions, binomial      308
Distributions, expected value      302
Distributions, frequency      300
Distributions, Gaussian      311
Distributions, mean      302
Distributions, Normal      311
Distributions, Poisson      309
Distributions, probability      300
Distributions, probability density function      301
Distributions, standard deviation      303
Distributions, standard error      306
Distributions, true value      300
Equations      5
Euler's equation      182
Experimental errors      316
Experimental errors, combining      317
Experimental errors, random      316
Experimental errors, reading      316
Experimental errors, statistical      317
Experimental errors, systematic      316
Exponential functions      39
Exponential functions, e      40
Exponential functions, manipulating      44
Factors      12
feedback control systems      219
Fourier series      248
Fourier series, coefficients      250
Fourier series, even symmetry      257
Fourier series, frequency spectrum      262
Fourier series, half-wave symmetry      259
Fourier series, odd symmetry      256
Fourier series, rectangular waveform      252
Fourier series, rectified sinusoid      254
Fourier series, sawtooth waveform      253
Fourier series, shift of origin      256
frequency      23
Functions      1
Functions, circular      22
Functions, combinations      6
Functions, cyclic      26
functions, defined      1
Functions, exponential      39
Functions, hyperbolic      54
Functions, inverse      19 37
Functions, linear      8
functions, Log      47
Functions, quadratic      11
Gradient of graph      8 100
Graphs, cyclic functions      26
Graphs, hyperbolic functions      55
Graphs, linear      8 95
Graphs, log      50
histogram      299
Hyperbolic functions      54
Hyperbolic functions, Cosh      54
Hyperbolic functions, graphs      55
Hyperbolic functions, Sinh      54
Hyperbolic functions, Tanh      54
Imaginary number      69
Impedance      79
Inductance and a.c.      105
Inflexion, point of      117
Integral, definite      133 145
Integral, indefinite      127 133
Integration      126
Integration by partial fractions      147
Integration by parts      145
Integration by substitution      141
Integration by trig. substitution      143
Integration of a sum      129
Integration, area under graph      132
Integration, common functions      127
Integration, constant of integration      129
Integration, particular solution      129
Integration, reverse of differentiation      126
Inverse functions      19 122
Karnaugh map      285
Kirchhoff's laws      78 229
Ladder programming      274
Laplace transform      198
Laplace Transform, Derivatives      205
Laplace transform, differential equations      213
Laplace transform, electrical circuits      228
Laplace transform, final value theorem      211
Laplace transform, first shift theorem      203
Laplace transform, first-order systems      220
Laplace transform, impulse function      200 221
Laplace transform, initial value theorem      210
Laplace transform, integrals      207
Laplace transform, inverse      207
Laplace transform, inverse, additive property      208
Laplace transform, inverse, first shift theorem      208
Laplace transform, inverse, second shift theorem      208
Laplace transform, periodic functions      205
Laplace transform, properties      201
Laplace transform, s-domain      198
Laplace transform, second-shift theorem      204
Laplace transform, standard      200
Laplace transform, step function      200
Laplace transform, sum of functions      201
Laplace transform, table      201
Laplace transform, time domain      198
Laplace transform, transfer function      217
Limits      100
Linear relationships      8
log functions      47
Log functions, changing bases      48
Log functions, natural      48
Logic gates      270
Logic gates, AND      271 272
Logic gates, Boolean algebra      275
Logic gates, combining      281
Logic gates, De Morgan laws      277
Logic gates, EXCLUSIVE OR      273
Logic gates, logic level      272
Logic gates, NAND      273
Logic gates, negative logic      272
Logic gates, NOR      272
Logic gates, NOT      271 273
Logic gates, OR      271 272
Logic gates, positive logic      272
Logic gates, symbols      272
Logic gates, truth table      271
Logic gates, XOR      273
Maxima      116
Mean      152 300
Measurement      xi
Minima      116
Model, mathematical      xi 85
Model, mathematical, electrical systems      90 159 172 174 217 221 228
Model, mathematical, hydraulic systems      93 162 175
Model, mathematical, lumped element      87
Model, mathematical, mechanical systems      87 159 183 191 217 227
Model, mathematical, rotational systems      89
Model, mathematical, thermal systems      91 169 174 221
Moment of inertia      139
Motor, model      91
Newton's second law      59
Oscillation      x 22
Oscillation, damped      44 183
Oscillation, undamped      183
Parallelogram of vectors      36 59
Partial fractions      147
Periodic time      23
permutations      293
Phase angle      27 30
Phasor      x 23
Phasor, adding      36 68 75
Phasor, complex representation      75
Phasor, defined      30
Phasor, division      77
Phasor, impedance      79 81
Phasor, Kirchhoff's laws      78
Phasor, multiplication      77
Phasor, polar notation      68
Phasor, subtraction      75
PLC      x 274 278 284 285
Polygon rule for vectors      59
Power, maximum transfer      121
PRECISION      302
probability      291
Probability, conditional      298
Probability, density function      301
Probability, distributions      300
Probability, mutually exclusive events      293
Progammable logic controller      see "PLC"
proportionality      3
Proportionality, constant      4
Quadratic functions      11
Quadratic functions, completing the square      13
Quadratic functions, factors      12
Quadratic functions, formula      14
Quadratic functions, roots      12
Radioactive decay      52
Reactance      81
Rectifier filter      266
Reliability      291
Ripple factor      267
Root-mean-square value      153
Roots      12
Scalars, defined      57
Second moment of area      140
Sensitivity, static system      173
SEQUENCE      236
Sequence, arithmetic      236
Sequence, convergent      239
Sequence, D'Alembert test      240
Sequence, divergent      239
Sequence, Fourier      248
Sequence, geometric      236
Sequence, harmonic      236
Sequence, Pascal's triangle      242
Sequence, power      241 243
Series      237
Series, arithmetic      237
Series, binomial      242 296 308
simple harmonic motion      23 107
Spring, force-extension      2 3
Spring, oscillation      22
Steady-state value      170 173
Straight-line graph      8
Summation symbol      133 237
Superposition principle      262
Switching circuits      270
Thermometer, model      92 169
time constant      42 170 173 222
Transfer function      217
Transfer function, defined      217
Transfer function, feedback systems      219
Transfer function, series systems      218
Transients, electrical      172
Triangle rule for vectors      59
Truth table      271
Turning points      116
Variable, continuous      298
Variable, dependent      2
Variable, discrete      298
Variable, independent      2
Variable, random      298
Vectors      57
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