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9780130104328

BOYCE MATHS TECH VOCATNL STDS _c10

by ; ;
  • ISBN13:

    9780130104328

  • ISBN10:

    0130104329

  • Edition: 10th
  • Format: Paperback
  • Copyright: 1999-06-11
  • Publisher: Pearson

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

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Summary

In print for over 75 years--and continually updated to reflect the contemporary work world and the changing needs of technical/trades workers--this book provides an accessible, comprehensive survey of all the practical mathematical skills required on the job in industry today. Using clear, uncomplicated explanations, an abundance of illustrations, and example problems drawn from the technical and trade professions, it helps readers gain competence and confidence in a broad range of mathematical problem-solving skills--from addition of whole numbers to problems concerning threads and gearing. Features convenient-reference comprehensive tables and formulas in the back of the book. Whole Numbers. Common Fractions. Decimal Fractions. Percentage. Ratio and Proportion. Practical Algebra. Rectangles and Triangles. Regular Polygons and Circles. Solids. Metric Measure. Graphs. Measuring Instruments. Geometrical Constructions. Logarithms. Essentials of Trigonometry. Strength of Materials. Work and Power. Tapers. Speed Ratios of Pulleys and Gears. Screw Threads. Cutting Speed and Feed. Gears. A reference and tutorial on practical mathematics for anyone in the technical trades.

Table of Contents

Chapter 1 Whole Numbers
1(18)
1-1 Introduction
1(1)
1-2 Addition of Whole Numbers
1(4)
1-3 Calculator Addition
5(1)
1-4 Subtraction of Whole Numbers
6(3)
1-5 Calculator Subtraction
9(1)
1-6 Multiplication of Whole Numbers
10(2)
1-7 Calculator Multiplication
12(1)
1-8 Division of Whole Numbers
13(2)
1-9 Calculator Division
15(4)
Chapter 2 Common Fractions
19(32)
2-1 Introduction
19(1)
2-2 Definitions
19(1)
2-3 Changing Whole or Mixed Numbers to Improper Fractions
20(2)
2-4 Changing Improper Fractions to Whole or Mixed Numbers
22(1)
2-5 Changing a Fraction to Lowest Terms
23(2)
2-6 Changing a Fraction with a Given Denominator to One with a Higher Denominator
25(1)
2-7 Changing Two or More Fractions to Equivalent Fractions Having a Common Denominator
26(2)
2-8 Addition of Fractions
28(1)
2-9 Addition of Mixed Numbers
29(2)
2-10 Subtraction of Fractions
31(1)
2-11 Subtraction of Mixed Numbers
32(2)
2-12 Multiplication of Fractions
34(3)
2-13 Division of Fractions
37(2)
2-14 Problems Involving Multiplication and Division
39(1)
2-15 Complex Fractions
40(11)
Chapter 3 Decimal Fractions
51(36)
3-1 Introduction
51(2)
3-2 Changing a Decimal Fraction to a Common Fraction
53(2)
3-3 Changing a Common Fraction to a Decimal Fraction
55(2)
3-4 Using a Table of Decimal Equivalents
57(2)
3-5 Conversion of Dimensions
59(2)
3-6 Addition of Decimals
61(1)
3-7 Subtraction of Decimals
62(1)
3-8 Multiplication of Decimals
63(3)
3-9 Division of Decimals
66(3)
3-10 Using the Calculator to Solve Decimal Problems
69(18)
Chapter 4 Percentage
87(14)
4-1 Definitions
87(1)
4-2 Finding the Percentage, Given the Base and the Rate
88(2)
4-3 Finding the Rate, Given the Base and the Percentage
90(2)
4-4 Finding the Base, Given the Percentage and the Rate
92(3)
4-5 Using the Calculator to Find the Percentage, Given the Base and the Rate
95(1)
4-6 Using the Calculator to Find the Rate, Given the Base and the Percentage
96(1)
4-7 Using the Calculator to Find the Base, Given the Percentage and the Rate
97(1)
4-8 The P-R-B Triangle
98(3)
Chapter 5 Ratio and Proportion
101(14)
5-1 Ratio
101(1)
5-2 Reduction of Ratios to Lowest Terms
101(2)
5-3 Proportion
103(4)
5-4 Using the Calculator to Solve Proportion Problems
107(3)
5-5 Averages
110(1)
5-6 Using the Calculator to Find the Average of a Set of Numbers
111(4)
Chapter 6 Practical Algebra
115(22)
6-1 Use of Letters
115(1)
6-2 Negative Numbers
115(1)
6-3 Definitions
116(3)
6-4 Substitution
119(1)
6-5 Addition
120(2)
6-6 Subtraction
122(2)
6-7 Symbols of Grouping
124(1)
6-8 Multiplication
125(2)
6-9 Division
127(2)
6-10 Equations
129(8)
Chapter 7 Rectangles and Triangles
137(44)
7-1 Area of Surfaces and Units of Area
137(6)
7-2 The Perimeter of a Rectangle
143(1)
7-3 Finding the Width or Length of a Rectangle
144(2)
7-4 Squares and Square Roots
146(1)
7-5 Finding the Square Root of a Whole Number
147(1)
7-6 The Square Root of Mixed Numbers
148(2)
7-7 Finding the Square Root of a Fraction
150(1)
7-8 Using the Calculator to Solve Square Root Problems
151(2)
7-9 Applications of Square Root
153(6)
7-10 Triangles
159(3)
7-11 Areas of Isosceles Triangles
162(1)
7-12 Areas of Scalene Triangles Using Hero's Formula
163(2)
7-13 Using the Calculator to Solve Triangle Problems
165(6)
7-14 Angles in Triangles
171(3)
7-15 Using the Calculator for Angle Measure in D.MS
174(7)
Chapter 8 Regular Polygons and Circles
181(58)
8-1 Definitions
181(1)
8-2 Equilateral Triangles
181(4)
8-3 Squares
185(2)
8-4 The Regular Hexagon
187(4)
8-5 The Regular Octagon
191(3)
8-6 Practice Problems on the Use of the Table of Constants
194(3)
8-7 Regular Polygons and the Calculator
197(3)
8-8 Quadrilaterals
200(1)
8-9 Area of a Trapezoid
200(4)
8-10 Areas of Composite Figures
204(2)
8-11 Scale
206(1)
8-12 Finding the Drawing Measure
206(1)
8-13 Finding the Actual Dimension on the Object from the Measured Dimension on the Diagram
207(2)
8-14 Finding the Area of a Figure Drawn to a Certain Scale
209(2)
8-15 Circles
211(1)
8-16 Circumference
211(2)
8-17 Using the Calculator to Find Circumference
213(1)
8-18 Finding the Diameter of a Circle
213(1)
8-19 Finding the Area of a Circle: Method 1
214(1)
8-20 Finding the Area of a Circle: Method 2
215(2)
8-21 Using the Calculator to Find the Area of a Circle
217(1)
8-22 Finding the Diameter of a Circle When the Area Is Given: Method 1
218(1)
8-23 Finding the Diameter of a Circle When the Area Is Given: Method 2
219(1)
8-24 Finding the Diameter of a Circle Equal in Area to the Combined Areas of Two or More Circles
219(2)
8-25 Short Method of Comparing Areas of Circles
221(1)
8-26 Areas of Ring Sections
222(1)
8-27 Short Method of Finding the Areas of Ring Sections
223(1)
8-28 Arcs and Sectors of Circles
224(2)
8-29 Circles and Regular Figures
226(3)
8-30 Segments of Circles
229(2)
8-31 The Ellipse
231(2)
8-32 Summary of Formulas for Plane Figures
233(6)
Chapter 9 Solids
239(36)
9-1 Definitions
239(1)
9-2 Prisms and Cylinders
239(1)
9-3 Volumes of Prisms
239(4)
9-4 Finding the Height of a Prism or a Cylinder
243(1)
9-5 Finding the Area of the Base of a Prism or a Cylinder
244(1)
9-6 Lateral Surface Areas of Prisms and Cylinders
245(2)
9-7 Pyramids and Cones
247(1)
9-8 Volumes of Pyramids and Cones
247(2)
9-9 Lateral Surface Areas of Pyramids and Cones
249(2)
9-10 Frustums of Pyramids and Cones
251(2)
9-11 Finding the Height of the Frustum of a Pyramid or a Cone
253(2)
9-12 Finding the Lateral Surface Area of the Frustum of a Cone or a Pyramid
255(2)
9-13 Spheres
257(2)
9-14 Using the Calculator to Find Volumes of Spheres
259(1)
9-15 Finding the Surface Area of a Sphere
260(1)
9-16 Volume of a Ring
260(1)
9-17 Volumes of Composite Solid Figures
261(3)
9-18 Weights of Materials
264(2)
9-19 Weights of Castings from Patterns
266(1)
9-20 Board Measure
267(2)
9-21 Flooring
269(2)
9-22 Summary of Formulas for Solids
271(4)
Chapter 10 Metric Measure
275(28)
10-1 Introduction
275(4)
10-2 Units of Length
279(2)
10-3 Units of Area
281(3)
10-4 Units of Volume
284(4)
10-5 Units of Weight
288(1)
10-6 Converting English Length to Metric Length
289(3)
10-7 Converting English Area to Metric Area
292(2)
10-8 Converting English Area to Metric Area Using Constants
294(2)
10-9 Converting English Volume to Metric Volume
296(2)
10-10 Converting English Weight to Metric Weight
298(1)
10-11 Converting English Temperature and Metric Temperature
299(4)
Chapter 11 Graphs
303(18)
11-1 Definitions
303(1)
11-2 Types of Graphs
303(5)
11-3 Use of Graphs in Experimental Work
308(1)
11-4 Two or More Graphs Combined
308(6)
11-5 Circle Graphs
314(3)
11-6 Bar Graphs
317(4)
Chapter 12 Measuring Instruments
321(12)
12-1 The Micrometer
321(2)
12-2 The Ten-Thousandths Micrometer
323(2)
12-3 The Vernier Caliper
325(2)
12-4 The Protractor
327(1)
12-5 The Vernier Protractor
327(2)
12-6 The Planimeter
329(1)
12-7 Use of the Planimeter
330(3)
Chapter 13 Geometrical Constructions
333(22)
13-1 Applications of Geometry
333(1)
13-2 Bisecting a Line Segment
333(1)
13-3 Bisecting an Angle
334(1)
13-4 Bisecting an Arc
335(1)
13-5 Constructing a Perpendicular to a Line at a Given Point on the Line
335(1)
13-6 Constructing a Perpendicular to an Endpoint of a Line Segment
335(1)
13-7 Constructing a Perpendicular to a Line through a Point Not on the Line
336(1)
13-8 Constructing a Line Parallel to Another Line
337(1)
13-9 Dividing a Line Segment into a Number of Equal Parts
337(1)
13-10 Constructing an Angle Equal to a Given Angle
338(1)
13-11 Constructing an Equilateral Triangle of a Given Size
339(1)
13-12 Constructing a Circle through Three Given Points
339(1)
13-13 Finding the Center of a Circle or an Arc
340(1)
13-14 Inscribing a Square in a Circle
341(1)
13-15 Constructing a Square of a Given Size
341(1)
13-16 Constructing a Square Equal in Area to the Sum or Difference of Two Given Squares
342(1)
13-17 Constructing a Circle Equal in Area to the Sum or Difference of the Areas of Two Given Circles
343(1)
13-18 Inscribing a Hexagon in a Circle
344(1)
13-19 Inscribing an Equilateral Triangle in a Circle
344(1)
13-20 Constructing a Hexagon Whose Sides Will Be a Given Length
344(1)
13-21 Constructing a Hexagon with One of the Sides on a Given Line
345(1)
13-22 Inscribing an Octagon in a Circle
346(1)
13-23 Inscribing an Octagon in a Square
346(1)
13-24 Constructing an Octagon of a Given Size
347(1)
13-25 Constructing a Pentagon
347(1)
13-26 Constructing a Tangent to a Circle
348(1)
13-27 Constructing a Tangent to a Circle through a Point outside the Circle
349(1)
13-28 Constructing a Tangent to Two Circles of Equal Size
349(1)
13-29 Constructing an Internal Tangent to Two Equal Circles
350(1)
13-30 Constructing an External Tangent to Two Circles of Unequal Size
351(1)
13-31 Constructing an Internal Tangent to Two Unequal Circles
351(1)
13-32 Constructing an Ellipse
352(3)
Chapter 14 Logarithms
355(18)
14-1 Definitions
355(1)
14-2 Characteristic and Mantissa
356(1)
14-3 Use of Tables
357(5)
14-4 Multiplication by the Use of Logarithms
362(1)
14-5 Division by the Use of Logarithms
363(1)
14-6 Cologarithms
364(1)
14-7 Combined Multiplication and Division
365(1)
14-8 Raising a Number to Any Power
366(1)
14-9 Extracting Any Root of a Number
367(3)
14-10 Logarithms and the Calculator
370(3)
Chapter 15 Essentials of Trigonometry
373(22)
15-1 The Right Triangle
373(2)
15-2 Trigonometric Functions
375(1)
15-3 Use of Tables
376(1)
15-4 Sin, Cos, and Tan on the Scientific Calculator
377(1)
15-5 Finding an Angle Corresponding to a Given Function
378(1)
15-6 Using the Calculator to Find an Angle, Given Its Function
379(1)
15-7 Solution of Right Triangle
380(5)
15-8 Isosceles Triangles
385(10)
Chapter 16 Strength of Materials
395(10)
16-1 Stress and Strain
395(1)
16-2 Kinds of Stresses
395(1)
16-3 Unit Stress
396(1)
16-4 Elastic Limit
396(1)
16-5 Ultimate Strength
396(1)
16-6 Safety Factor
397(1)
16-7 Working Unit Stresses
397(2)
16-8 Pressure in Pipes
399(2)
16-9 Riveted Joints
401(4)
Chapter 17 Work and Power
405(10)
17-1 Work and Power
405(1)
17-2 Horsepower of a Steam Engine
406(1)
17-3 Horsepower of Gas Engines
407(1)
17-4 Brake Horsepower
408(2)
17-5 Electrical Power
410(1)
17-6 Mechanical Efficiency of Machines
411(4)
Chapter 18 Tapers
415(26)
18-1 Definitions
415(1)
18-2 Computing Taper and Diameter
415(3)
18-3 American Standard Self-Holding (Slow) Taper Series
418(7)
18-4 Taper Angle
425(4)
18-5 Taper Turning by Offsetting the Tail Stock
429(4)
18-6 Taper Turning by Using the Compound Rest
433(3)
18-7 Taper Turning by Using the Taper Attachment
436(5)
Chapter 19 Speed Ratios of Pulleys and Gears
441(20)
19-1 Gear Trains
441(3)
19-2 Idlers
444(2)
19-3 Finding the Number of Teeth for a Given Speed Ratio
446(1)
19-4 Compound Gearing
447(2)
19-5 Worm and Gear
449(1)
19-6 Trains of Spur, Bevel, and Worm Gearing
450(1)
19-7 Pulley Trains
451(10)
Chapter 20 Screw Threads
461(34)
20-1 Introduction
461(1)
20-2 Pitch
461(2)
20-3 Lead
463(1)
20-4 Definitions Applying to Screw Threads
464(1)
20-5 Sharp V-Thread
465(1)
20-6 Double Depth of Sharp V-Thread
466(1)
20-7 Minor Diameter
466(1)
20-8 Tap Drill Sizes
467(1)
20-9 The Unified Thread
468(1)
20-10 Double Depth of the Unified Thread
469(1)
20-11 Minor Diameter of Unified Threads
469(1)
20-12 American National Thread
469(2)
20-13 Double Depth of American National Thread
471(1)
20-14 Minor Diameter of American National Thread
471(1)
20-15 Size of Tap Drill for American National Threads
472(1)
20-16 Width of Point of Tool
473(1)
20-17 Square Thread
473(1)
20-18 Tap Drill for Square Thread
474(1)
20-19 The Acme 29-Degree Screw Thread
475(1)
20-20 Tap Drill and Tap, Acme Thread
476(1)
20-21 The Brown and Sharpe 29-Degree Worm Thread
477(1)
20-22 Metric Standard Screw Threads
478(1)
20-23 Whitworth Standard Threads
479(1)
20-24 Tap Drill Size for Whitworth Thread
480(1)
20-25 Radius of Tool Point for Whitworth Thread
481(1)
20-26 American Standard Taper Pipe Threads
481(1)
20-27 Length of Part Having Perfect Threads and Length of Effective Thread
482(1)
20-28 Thickness of Metal between Bottom of Thread and Inside of Pipe in Straight Pipe Thread
483(1)
20-29 Lathe Gearing for Cutting Screw Threads
484(4)
20-30 Fractional Threads
488(1)
20-31 Use of Compound Gearing
489(3)
20-32 Cutting Metric Threads
492(3)
Chapter 21 Cutting Speed and Feed
495(18)
21-1 Cutting Speed and Surface, or Rim, Speed
495(1)
21-2 Cutting Speed on the Lathe
495(2)
21-3 Cutting Feed of a Lathe
497(2)
21-4 Drill Press and Milling Machine
499(1)
21-5 Drill Press Feed
500(1)
21-6 Milling Machine Feed
501(3)
21-7 Surface Speed or Rim Speed
504(1)
21-8 Finding the Number of Revolutions per Minute, Given the Diameter and the Cutting Speed
504(2)
21-9 Finding the Diameter, Given the Rim Speed and the Number of Revolutions per Minute
506(1)
21-10 Cutting Speed on the Planer
507(1)
21-11 Time Required for a Job on the Planer
508(1)
21-12 Number of Strokes per Minute
509(1)
21-13 Cutting Speed of Shapers
510(3)
Chapter 22 Gears
513(30)
22-1 Spur Gears
513(4)
22-2 Diametral Pitch
517(1)
22-3 Proportions of Gear Teeth
518(1)
22-4 Relation Between Circular Pitch and Diametral Pitch
519(2)
22-5 Clearance
521(1)
22-6 Depth of Tooth
522(1)
22-7 Outside Diameter
523(1)
22-8 Pitch Diameter
524(1)
22-9 Use of Formulas
525(1)
22-10 Racks
526(2)
22-11 Center-to-Center Distance of Gears
528(2)
22-12 Selection of Cutters
530(1)
22-13 Bevel Gears
530(1)
22-14 Definitions Applying to Bevel Gears--Pitch Cones
531(4)
22-15 Tooth Parts
535(1)
22-16 Pitch Cone Radius
535(1)
22-17 Addendum Angle and Turning Angle
536(1)
22-18 Dedendum Angle and Cutting Angle
536(1)
22-19 Outside Diameters
536(1)
22-20 Selecting Cutters for Bevel Gears
537(1)
22-21 Dimensions of Teeth at Small End
538(1)
22-22 Miter Gears
539(4)
Appendix 543(50)
Answers to Self-Tests 593(4)
Answers to Odd-Numbered Problems 597(43)
Index 640

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