3 Fract Fraction ional al Inc Inch, h, De Deci cima mal, l, Millimeter Conversion 4 Numbers 4 Po Posi sittiv ivee and and Nega gattiv ivee Num Numbe bers rs 5 Sequence of Operations 5 Ratio and Proportion 7 Percentage 8 Fractions 8 Common Fractions 8 Reciprocals 9 Addition, Su Subtraction, Multiplication, Division 10 Decimal Fractions 11 Continued Fr Fractions 12 Conjugate Fr Fractions 13 Us Usiing Co Con nti tin nue ued d Fr Fraaction 14 Po Powe wers rs an and d Roo Roots ts 14 Powers of Ten Notation 15 Co Con nve vert rtiing to Pow oweer of Ten 15 Multiplication 16 Division 16 Con Const stant antss Frequ Frequent ently ly Used Used in Mathematical Expressions 17 Im Imagi aginar nary y and and Compl Complex ex Numb Numbers ers 18 Factorial 18 Perm rmu utat atiions 18 Com ombi bina nattion onss 19 Pri Prime me Num Numbe bers rs and Fac Factor torss
Ellipse Sph pheeri riccal Are Areaas and and Vol olum umees Parabola Hyperbola Area Ar eass and and Vol Volum umes es The Prismoidal Formula Pappus or or Gu Guldinus Ru Rules Are reaa of Re Revo vollut utiion Su Surf rfaace Area Ar ea of Ir Irre regu gula larr Pl Plan anee Su Surf rfac acee Are reaas of Cy Cyccloi oida dall Cu Curv rvees Cont Co nteent ntss of of Cyl Cyliind ndri riccal Ta Tank nkss Areas Are as and Dim Dimens ension ionss of Fig Figure uress For orm mul ulaas fo for Re Regu gullar Po Poly lygo gons ns Circular Segments Circ Ci rcle less an and d Sq Squa uare ress of Eq Equa uall Ar Area ea Diag Di agon onal alss of Sq Squa uare ress & He Hexa xago gons ns Volu Vo lume mess of of Sol Solid idss Circl Cir cles es in Circ Circle less and Rect Rectang angle less Circ Ci rclles with thin in Rec ecttang ngle less Rollers on a Shaft
ALGEBRA AND EQUATIONS 29 Rearr Rearrang angem ement ent of For Formu mula lass 30 Pri Princi nciple ple Alge Algebra braic ic Expre Expressi ssions ons 31 So Solv lvin ing g Firs Firstt De Degr gree ee Eq Equa uati tion onss 31 So Solv lvin ing g Qu Quadr draatic Equ Equaati tio ons 32 Fa Fact ctor orin ing g a Qu Quad adra rati ticc Exp Expre ress ssio ion n 33 Cubic Eq Equations 33 So Solv lvin ing g Num Numeric rical Equ quaation onss 34 Series 34 De Deri riv vat atiive vess and Inte Integ gra ralls
Functi Func tion onss of An Angl gles es Laws of of Si Sines an and Co Cosines Tri rigo gono nom metri ricc Ide dent ntiiti tiees Right-angled Tri Triangles Obt btus usee-a -ang nglled Tri rian angl glees Degr greee-r -rad adia ian n Con Conve vers rsiion Fun uncction onss of of Ang Angle less, Gra Graph phiic Trig Function Tables Vers Ve rsed ed Si Sine ne an and d Ve Vers rsed ed Co Cosi sine ne Sevo Se volu lute te an and d Inv Invol olut utee Fun Funct ctio ions ns Invo In vollut utee Fun Funcction onss Ta Table less Spheri Sph erica call Tr Trigo igonom nomet etry ry Righ Ri ghtt Sp Sphe heri rica call Tr Trig igon onom omet etry ry Obli Ob liqu quee Sph Spher eric ical al Tr Trig igon onom omet etry ry Comp Co mpou ound nd An Angl gles es Inte In terp rpol olat atio ion n
LOGARITHMS 121 122 123 123 12 3 124 12 4 125
GEOMETRY 36 Arithm Arithmet etic ical al & Ge Geome ometri trical cal Progression 39 An Anal alyt ytic ical al Ge Geom omet etry ry 39 Straight Line 42 Coordinate Systems 45 Circle
Common Logarithms Inverse Logarithm Natural Lo Logarithms Powe Po wers rs of Nu Numb mber er by Lo Loga gari rith thms ms Roo ootts of of Num Numbe berr by by Log Logaari ritthm hmss Tables of Logarithms
1 ¯
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Machinery's Handbook 28th Edition TABLE OF CONTENTS MATHEMATICS MATRICES
ENGINEERING ECONOMICS (Continued)
129 Matrix Operations 129 Matrix Addition and Subtraction 129 Matrix Multiplication 130 Transpose of a Matrix 130 Determinant of a Square Matrix 131 Minors and Cofactors 131 Adjoint of a Matrix 132 Singularity and Rank of a Matrix 132 Inverse of a Matrix 132 Simultaneous Equations
140 140 141 141 142 143 144 144 144 144 147
ENGINEERING ECONOMICS 135 Interest 135 Simple and Compound Interest 136 Nominal vs. Effective Interest Rates 137 Cash Flow and Equivalence 138 Cash Flow Diagrams 140 Depreciation 140 Straight Line Depreciation 140 Sum of the Years Digits
Double Declining Balance Method Statutory Depreciation System Evaluating Alternatives Net Present Value Capitalized Cost Equivalent Uniform Annual Cost Rate of Return Benefit-cost Ratio Payback Period Break-even Analysis Overhead Expenses
MANUFACTURING DATA ANALYSIS 148 Statistics Theory 148 Statistical Distribution Curves 148 Normal Distribution Curve 148 Statistical Analysis 150 Applying Statistics 150 Minimum Number of Tests 150 Comparing Average Performance 152 Examples
2 Copyright 2008, Industrial Press Inc., New York, NY
