Mathematics for Machine Technology

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Cengage Learning, Nov 1, 2003 - Mathematics - 530 pages
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Occupations like those of machinists, tool and die makers, pattern makers, drafters, and designers require a fundamental knowledge of general math as well as of more advanced topics like oblique trigonometry, compound angles, and numerical control. This updated edition of Mathematics for Machine Technology promotes an understanding of all the mathematical concepts necessary for success in the machine trades and manufacturing fields. The author effectively combines math concepts with the relevant machine applications so that readers fully understand the value of what they are learning. Industry-specific examples, realistic illustrations, and actual applications further enhance the theory-to-application connection.
 

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Contents

Common Fractions Decimal Fractions and Percentage UNIT 1 Introduction to Common Fractions and Mixed Numbers
1
Addition of Common Fractions and Mixed Numbers
6
Subtraction of Common Fractions and Mixed Numbers
11
Multiplication of Common Fractions and Mixed Numbers
15
Division of Common Fractions and Mixed Numbers
19
Combined Operations of Common Fractions and Mixed Numbers
22
Fractions and Mixed Numbers
27
Introduction to Decimal Fractions
35
Fundamentals of Plane Geometry
251
ProtractorsSimple Semicircular and Vernier
264
Types of Angles and Angular Geometric Principles
270
Introduction to Triangles
277
Geometric Principles for Triangles and Other Common Polygons
283
Introduction to Circles
293
Ares and Angles of Circles Tangent Circles
302
Fundamental Geometric Constructions
313

Rounding Decimal Fractions and Equivalent Decimal and Common Fractions
36
Addition and Subtraction of Decimal Fractions
41
Multiplication of Decimal Fractions
45
Division of Decimal Fractions
47
Powers
51
Roots
57
Table of Decimal Equivalents and Combined Operations of Decimal Fractions
62
Decimals
68
373
71
introduction to Percents
73
Basic Calculations of Percentages Percents and Rates
76
Percent Practical Applications
82
Achievement ReviewSection One
87
Customary English and Metric
95
Degree of Precision Greatest Possible Error Absolute Error and Relative Error
102
Tolerance Clearance and Interference
107
Customary and Metric Steel Rules
115
Customary Vernier Calipers and Height Gages
121
Customary Micrometers
129
Customary and Metric Gage Blocks
135
Fundamentals of Algebra
136
Achievement ReviewSection Two
139
Symbolism and Algebraic Expressions
145
Signed Numbers
152
Algebraic Operations of Addition Subtraction and Multiplication
165
Algebraic Operations of Division Powers and Roots
172
Introduction to Equations
184
Solution of Equations by the Subtraction Addition and Division Principles of Equality
191
Solution of Equations by the Multiplication Root and Power Principles of Equality
200
Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas
207
Ratio and Proportion
215
Direct and Inverse Proportions
225
Applications of Formulas to Cutting Speed Revolutions Per Minute and Cutting Time
229
Applications of Formulas to Spur Gears
239
Achievement ReviewSection Three
246
Achievement ReviewSection Four
320
Areas and Volumes
329
Areas of Triangles
336
Areas of Circles Sectors and Segments
340
Volumes of Prisms and Cylinders
346
Volumes of Pyramids and Cones
354
Volumes of Spheres and Composite Solid Figures
361
Achievement ReviewSection Five
366
Introduction to Trigonometric Functions
373
Analysis of Trigonometric Functions
382
Basic Calculations of Angles and Sides of Right Triangles
387
Simple Practical Machine Applications
395
Complex Practical Machine Applications
402
The Cartesian Coordinate System
412
Law of Sines and Law of Cosines
416
Achievement ReviewSection Six
426
Compound Angles
431
Computing Angles of Rotation and Tilt Using Given Lengths
434
Computing Angles of Rotation and Tilt Using Given Angles
438
Computing Angles of Rotation and Tilt
445
Computing Angles Made by the Intersection of Two Angular Surfaces
452
Computing Compound Angles on Cutting and Forming Tools
458
Achievement ReviewSection Seven
465
Computer Numerical Control CNC
467
Control Systems Absolute Positioning Incremental Positioning
470
Binary Numeration System
478
Achievement ReviewSection Eight
483
A United States Customary and Metric Units of Measure
485
B Principles of Plane Geometry
486
Formulas for Areas A of Plane Figures
488
Formulas for Volumes of Solid Figures
489
E Trigonometry
490
Answers to OddNumbered Applications
493
Index
521
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About the author (2003)

Robert D. Smith was an Associate Professor Emeritus of Industrial Technology at Central Connecticut State University in New Britain, Connecticut. His manufacturing industry experience included work as a tool designer, quality control engineer, and chief manufacturing engineer

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