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082-Engineering-Mathematics-Anthony-Croft-Robert-Davison-Martin-Hargreaves-James-Flint-Edisi-5-2017

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990 Index

Euler’srelations339, 749

differentialequations 564, 566

discrete Fourier transform787

Fourier transform760, 771--2

even functions726--32

exact equations 547--9

exact solution 616, 617--18,620--1,624

exclusive OR gate189

expansion along the firstrow278

expected value 943--5, 946--7,955, 959, 962

experiment and binomial distribution 953

explicitdifferentiation 394

exponentseepower

exponent, defined 80

exponential constant 81

exponential decay 81

exponential distribution 962--3

exponential expressions 80

exponential form,ofcomplex number 337--8

exponential functions80--4, 728

diode equation 83--4

discharge ofcapacitor 82

seealso logarithm functions

exponential growth 81

exponential term 669, 670, 671

factorialnotation 55

factorization 20--1,28--9,39

factory production line, quality control on907--8

failurein asingle trial953

Faraday, M. 240

Faraday’s law 368, 865

feedback:

loop, negative, elimination of662--8

negative 436

path689

Fibonacci sequence 203

field:

irrotational860

line and multiple integrals 876

solenoidal 857

filters722

digital 692

discrete-time 689--90,696

high pass689

lowpass689, 696--7

final value theorem 634, 657

finite sequences 801, 809, 813

finite series209

arithmetic 209--10

geometric 211

firstcondition (differentialequations) 539

first-derivative417

Laplace transform635

Taylor polynomials 508--9

test 407, 411

firstlaw ofindices 3

first-orderequations 540--5, 573, 606--8, 685

coupled 607--8

difference equations 696

Laplace transform656

separation ofvariables 541--5

simplest540--1

first-orderlinear differential equations 547--57

exact equations 547--9

integratingfactor method 550--7

separation ofvariables 549

first-orderTaylor polynomial 509--13

directcurrent electrical network 510

gravityfeed water supply 510--11

linearity509--13

power dissipationin resistor511--12

first-orderTaylor polynomials, in two variables 835--7

firstshifttheorem 632--3,719, 768

Fourier transform762--4

ztransform711--12

fluidflow:

acrossasurface 890--2

along a pipe167

coupled-tanks system614--15

intotank376--7

flux 891

folding (signalprocessing)775

forward wave 578--80

Fourier analysis 482, 745

Fourier coefficients 734, 739, 741--2,748--50, 766

Fourier components 752, 754--5

Fourier series722--56, 723--4,728, 731--42, 746, 749--50

complex notation 749--51

frequency response oflinearsystem 751--5

half-range series745--8

low-passfilter752--5

odd and even functions726--32, 740--4

Parseval’s theorem 748--9

periodicwaveforms 723--6

spectrum ofpulse width:

modulation controlled solar charger743--4

Fourier synthesis 734

Fourier transform749, 757--822

amplitude modulation 767--8

convolution and convolution theorem 774--82

definitions 758--61

ofdelta function 770--1

discrete cosinetransform795--81

fast785

integration480

inverse 758--9,774

andLaplace transform772--4

pair758

periodicfunctions 771--2

properties761--6

firstshifttheorem 762--4

linearity761--2

second shift theorem 764--5

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