Table Of ContentTECHNICAL
MATHEMATICS —
STAN GIBILISCO
NORMAN CROWHURST
Mastering
Technical
Mathematics
_____Mastering
Technical
Mathematics
SECOND EDITION
Stan Gibilisco
Norman Crowhurst
McGraw-Hill Pid
AD fe REC
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Contents
Iniructuction xix
deknentedgments xxi
Part 1. Asithiwetic as an outgrowth uf learning to count
1. From counting (u audition 3
Courting inseusand
‘Writing numbers greater thaaten
Why vera is uted in counting 4
‘ar’ earties compute: the abacus. 6
Be tas aud hundreds Wo thousands 7
DiowtHinget ths vars 9
Deyoud thous: lions aul snore 10
Dilfernt way al viewing big numbers 19
Addition is cousringon 17
‘Adding three or:more musts. 12
Adding lager mumbsts. 14
¢ a
Successive adizion 7
Theckdtime say 16
hocking mswers TY
Winns 19
Liguid amd day nuvasiaes 2
Qucsionevanaipobions | 22
2
ion 24
ction is counting may 24
Checking subtraction by addition 26
sii Cansoi
swith karggr numbers 27
Subtactingcsh 2
Making change 29
Subtracting weighls 50
Using wbalanes 3
Subtracting liquid and dry measures 42
Quosstons and profiens 33
3. Multiplication 34
A short cut for repeated addition 34
OT TADIES
Patterasin numbers 35
Howe 2a leulatons muttiphy
Puning together how people dul
Careying in cpultplication 39
Amaueroforder 40
Using your pockelvalculiter te vaily this press 40
Shining sos #7
Either aunibersata be the aulliplice 12
‘Using subtraclionin multiplication 42
Mulliplying by lictors 44
fulipl nssciuh
Multiplying lengths 45
Multiplying measures 45
Qrescions anckproBieris 4%
4. Division 50
Division hegan ag counting wut 36
How a ealeulater does it 87
Division 1s muhiplicauin in eevee
Dividing ime longer numbers 52
Multiphicution checks livisin $3
focsafsout hone calculaiedies
Dividig by larger munbers (Ube poople way) S¥
Multiphcntion asa “check again” £4
Divisionby lactors 56
Which methodisbe? 57
When a remainder is eli 57
‘What doos the venainder mean? 59
Howe wcalculator handks Fuctions 61
Fractions that have owultiple parts 42
Decimal equivalents of Fractions 6
Moredifficule factions 63
anions
TOR BOR INS PAT
Deviraid for one leveulh and others 64
Converting recurring decimals te fractions 65
Where :nirethan anedligitresues 6
Dracsrionsacd prabteres 67
. Fractions 69
[Different rnetions win the same value 69
Factors hop lind the sinuplest linn —cuxelation
Spotling the factors 74
Rules for finding factors 77
Thaw Fae Bry
Squares an primey
Factoring with a calvulator
Adding and subcracting fractions 74
Einding the commen denominator 75
Culoulatens tha Uo" actions
Sigmilicamt figures
Approsisnate long division: why se it
Lohan prosedms 79
Using « cedculator to lind significance 79
Approximate long muliplivation
6,
Area: the second dimension 84
Seules oF length units and mecusurement $4
Length times fengrhisarea 88
Whabissquontt 8.
Thevight ingle 86
Dierent shapes with the same aren
Sqquare measure 8
nt sls rk
Pardldugrans 3%
Teor puNlctozTaET 90
AreanTacutewiangles 9
Area gfohtuse triangles 97
Arvaoftiiugks 93
Morrie n
Area prublons 95
Questionsand problems 98
x Conieass
7. Tiare: the fourth dimension TOW
What isdimension? 10
The Fourth dimension: time 787
Using ten valicnenmans 1?
Avenwespowl 123
Therelotence quantity £05
Chuanging the wentge 107
‘Making up tims 107
RatoaP growth 108
Fracinnal inctease 109
Percentages 1419
ts ull
Penvenrages wilh TE
Poentages upaned desea 127
Grophitel reprscatation offal, 11
Grophs 124
Questions anni problems 2
Part 2. Tatroducing algchra, geometry, and trigonometry
as ways of thinking in mathematics.
8, First notions leading into algebra 123
Shorter methods for longer prablems 22
Gropp chock aniuhmetic and find solutions £25
Algsbra:a more direct way 428
Writing it asalgcbra 125
Ditferen waynof writing ia arithmeneand algebra 127
Brackets or parentheses
Using mime than sine set 228
Aqmoblon exposed byalybra 129
Removing pareutheses losulveit 270
Pulling a prublain ity alyebsa 132
Solving it by removing the parentheses /3/
Checking your answerand your work 131
Magic by algebia £7
Minus timesasninus makesa plus 13
Solving the-problem 138
Arith-ninie numbers in algebra 436
Nusnber problems 256
Questions anni problems 137
Developing “school algebra 140
Ondetly writingin algebra 142
Indices show “plase™inalgelya 147
Contents —si
Dinnasiow iralgvbrt 142
Hixpmessions, exqualions whi. 142
An tquation us an action stacanent 143
Using am equation iosolve wproblem =F
Simultaneous equations 445
Simulumeous equations solvea fiaction problem 45
Solving the problam 14?
Solving hy substitution 48
Solving for reciprocals 149
Lang division clarifies how
Lang division finds factors ia
By
10.
Quadraties 154
Problans with two ur mior answers 154
Quoatrane eiph inst syatrival curv 155
Sulvinga quashwivequition 256
Using factors w solve cyuations | 25:
Finding lctarsto salve quadnics 25
How Eictors solve quadiaties 154
When factors ure even-moce dificult find 154
Completing-ths squars 10
Jcting_ he solution by-vorrpleting th
Checking the answers 162
‘Whatthe answers mean 363
Somparing methods 14
Formula method 145
Solving hy Forrmula 146
Checking mnsults 759
A quadratic problem 179
Drscsrionscnd prabernss ITE
Finding short cuts 173
Dit 'squsuesis ab
dilkeawnce
Sunn anel life in gcontetry 17
Ditlerance of squares fins factors
One way to find s square root 176
“Continued” squane rool 179
importance of place in square toot 179
importance of signsin successive roots 180
Tmaginary oumbers 180
Imaginary nunibers find the other tw cuberoots 14
Simultanceus quadraties 133
