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Overview
Peterson/McGarry/Smith's MATHEMATICS FOR MACHINE TECHNOLOGY, 9th Edition, equips students and apprentices in machine trades and manufacturing with essential mathematical skills. This comprehensive book seamlessly integrates math concepts with practical machine applications, using industry-specific examples, realistic illustrations and actual machine functions. It covers a range of topics, progressing from general math to trigonometry and solid geometry, compound angles and numerical control, ensuring students gain a solid foundation in general math before advancing to more complex concepts. Additionally, readers gain insights into G- and M-codes for CNC programming, preparing them for success in the machine, tool-and-die and tool design industries.
- Calculator and spreadsheet instructions have been removed to make for a more streamlined presentation. With most students using calculators and spreadsheets to solve exercises since elementary school, this edition no longer includes basic instruction in calculator usage and spreadsheets.
- The 4-color design helps the text reflect that it is appropriate for students in the 21st century.
- The instructor's companion website provides efficient tools for your course. You'll find answers and solutions to all problems in this edition as well as extensive tools for course preparation and effective class presentations.
- Coverage provides a unique, up-close and realistic overview of what's required in the machine trades and manufacturing industry. Students gain the skills and practice needed for success as the authors emphasize the analytical approach that is necessary for translating engineering drawing dimensions into machine-working dimensions.
- Step-by-step, practical problems and examples reinforce the book's reader-friendly approach. The authors carefully progress from simple to relatively complex topics to ensure reader understanding. This organized approach to learning is well recognized for its effectiveness in guiding students.
- Detailed presentations address polar coordinates and hexadecimal and bcd (binary coded decimal) numeration systems. Students also learn material conversion between metric and customary systems of measure.
- STEP-BY-STEP, PRACTICAL PROBLEMS AND EXAMPLES REINFORCE THE BOOK'S READER-FRIENDLY APPROACH. The authors carefully progress from the simple to relatively complex topics to ensure reader understanding. This organized approach to learning is well recognized for its effectiveness in guiding students.
- EXTENSIVE USE OF REALISTIC TRADE-RELATED ILLUSTRATIONS BRINGS CONCEPTS TO LIFE. Students learn through example as they see concepts applied and in action within today's manufacturing and machine trade.
- COVERAGE PROVIDES A UNIQUE, UP-CLOSE AND REALISTIC OVERVIEW OF WHAT'S REQUIRED IN THE MACHINE TRADES AND MANUFACTURING INDUSTRY. Students gain the skills and practice needed for success as the authors emphasize the analytical approach that is necessary for translating engineering drawing dimensions into machine-working dimensions.
Section I: COMMON FRACTIONS AND DECIMAL FRACTIONS.
1. Introduction to Common Fractions and Mixed Numbers.
2. Addition of Common Fractions and Mixed Numbers.
3. Subtraction of Common Fractions and Mixed Numbers.
4. Multiplication of Common Fractions and Mixed Numbers.
5. Division of Common Fractions and Mixed Numbers.
6. Combined Operations of Common Fractions and Mixed Numbers.
7. Introduction to Decimal Fractions.
8. Rounding Decimal Fractions and Equivalent Decimal and Common Fractions.
9. Addition and Subtraction of Decimal Fractions.
10. Multiplication of Decimal Fractions.
11. Division of Decimal Fractions.
12. Powers.
13. Roots.
14. Table of Decimal Equivalents and Combined Operations of Decimal Fractions..
15. Achievement Review Section One.
Section II: RATIO, PROPORTION, AND PERCENTAGE.
16. Ratio and Proportion.
17. Direct and Inverse Proportions.
18. Introduction to Percents.
19. Basic Calculations of Percentages, Percents, and Rates.
20. Percent Practical Applications.
21. Achievement Review Section Two
Section III: LINEAR MEASUREMENT: CUSTOMARY (ENGLISH) AND METRIC.
22. Customary (English) Units of Measure.
23. Metric Units of Linear Measure.
24. Degree of Precision and Greatest Possible Error, Absolute Error, and Relative Error.
25. Tolerance, Clearance, and Interference.
26. Customary and Metric Steel Rules.
27. Customary Vernier Calipers and Height Gages.
28. Metric Vernier Calipers and Height Gages.
29. Digital Calipers and Height Gages.
30. Customary Micrometers.
31. Metric Vernier Micrometers.
32. Digital Micrometers.
33. Customary and Metric Gage Blocks.
34. Achievement Review Section Three.
Section IV: FUNDAMENTALS OF ALGEBRA.
35. Symbolism and Algebraic Expressions.
36. Signed Numbers.
37. Algebraic Operations of Addition, Subtraction, and Multiplication.
38. Algebraic Operations of Division, Powers, and Roots.
39. Introduction to Equations.
40. Solution of Equations by the Subtraction, Addition, and Division Principles of Equality.
41. Solution of Equations by the Multiplication, Root, and Power Principles of Equality.
42. Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas.
43. Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time.
44. Applications of Formulas to Spur Gears.
45. Achievement Review Section FOUR.
Section V: FUNDAMENTALS OF PLANE GEOMETRY.
46. Lines and Angular Measure.
47. Protractors- Simple Semicircular and Vernier.
48. Types of Angles and Angular Geometric Principles.
49. Introduction to Triangles.
50. Geometric Principles for Triangles and Other Common Polygons.
51. Introduction to Circles.
52. Arcs and Angles of Circles, Tangent Circles.
53. Fundamental Geometric Constructions.
54. Achievement Review Section Five.
Section VI: GEOMETRIC FIGURES: AREAS AND VOLUMES.
55. Areas of Rectangles, Parallelograms, and Trapezoids.
56. Areas of Triangles.
57. Areas of Circles, Sectors, and Segments.
58. Volumes of Prisms and Cylinders.
59. Volumes of Pyramids and Cones.
60. Volumes of Spheres and Composite Solid Figures.
61. Achievement Review Section Six.
Section VII: TRIGONOMETRY.
62. Introduction to Trigonometric Functions.
63. Analysis of Trigonometric Functions.
64. Basic Calculations of Angles and Sides of Right Triangles.
65. Simple Practical Machine Applications.
66. Complex Practical Machine Applications.
67. The Cartesian Coordinate System.
68. Oblique Triangles: Law of Sines and Law of Cosines.
69. Achievement Review Section Seven.
Section VIII: COMPOUND ANGLES.
70. Introduction to Compound Angles.
71. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths.
72. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles.
73. Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt.
74. Computing Angles Made by the Intersection of Two Angular Surfaces.
75. Computing Compound Angles on Cutting and Forming Tools.
76. Achievement Review Section Eight.
Section IX: COMPUTER NUMERICAL CONTROL: (CNC).
77. Introduction to Computer Numerical Control (CNC).
78. Control Systems, Absolute Positioning, Incremental Positioning.
79. Location of Points: Polar Coordinate System.
80. Binary Numeration System.
81. Hexadecimal Numeration System.
82. BCD (Binary Coded Decimal) Numeration Systems.
83. An Introduction to G- and M-Codes for CNC Programming
84. Achievement Review Section 9.
Appendix A. United States Customary and Metric Units of Measure.
Appendix B. Principles of Plane Geometry.
Appendix C. Formulas for Areas (A) of Plane Figures.
Appendix D. Formulas for Volumes of Solid Figures.
Appendix E. Trigonometry.
Appendix F. Common G- and M-Codes.
Answers to Odd-Numbered Applications.
Index.
1. Introduction to Common Fractions and Mixed Numbers.
2. Addition of Common Fractions and Mixed Numbers.
3. Subtraction of Common Fractions and Mixed Numbers.
4. Multiplication of Common Fractions and Mixed Numbers.
5. Division of Common Fractions and Mixed Numbers.
6. Combined Operations of Common Fractions and Mixed Numbers.
7. Introduction to Decimal Fractions.
8. Rounding Decimal Fractions and Equivalent Decimal and Common Fractions.
9. Addition and Subtraction of Decimal Fractions.
10. Multiplication of Decimal Fractions.
11. Division of Decimal Fractions.
12. Powers.
13. Roots.
14. Table of Decimal Equivalents and Combined Operations of Decimal Fractions..
15. Achievement Review Section One.
Section II: RATIO, PROPORTION, AND PERCENTAGE.
16. Ratio and Proportion.
17. Direct and Inverse Proportions.
18. Introduction to Percents.
19. Basic Calculations of Percentages, Percents, and Rates.
20. Percent Practical Applications.
21. Achievement Review Section Two
Section III: LINEAR MEASUREMENT: CUSTOMARY (ENGLISH) AND METRIC.
22. Customary (English) Units of Measure.
23. Metric Units of Linear Measure.
24. Degree of Precision and Greatest Possible Error, Absolute Error, and Relative Error.
25. Tolerance, Clearance, and Interference.
26. Customary and Metric Steel Rules.
27. Customary Vernier Calipers and Height Gages.
28. Metric Vernier Calipers and Height Gages.
29. Digital Calipers and Height Gages.
30. Customary Micrometers.
31. Metric Vernier Micrometers.
32. Digital Micrometers.
33. Customary and Metric Gage Blocks.
34. Achievement Review Section Three.
Section IV: FUNDAMENTALS OF ALGEBRA.
35. Symbolism and Algebraic Expressions.
36. Signed Numbers.
37. Algebraic Operations of Addition, Subtraction, and Multiplication.
38. Algebraic Operations of Division, Powers, and Roots.
39. Introduction to Equations.
40. Solution of Equations by the Subtraction, Addition, and Division Principles of Equality.
41. Solution of Equations by the Multiplication, Root, and Power Principles of Equality.
42. Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas.
43. Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time.
44. Applications of Formulas to Spur Gears.
45. Achievement Review Section FOUR.
Section V: FUNDAMENTALS OF PLANE GEOMETRY.
46. Lines and Angular Measure.
47. Protractors- Simple Semicircular and Vernier.
48. Types of Angles and Angular Geometric Principles.
49. Introduction to Triangles.
50. Geometric Principles for Triangles and Other Common Polygons.
51. Introduction to Circles.
52. Arcs and Angles of Circles, Tangent Circles.
53. Fundamental Geometric Constructions.
54. Achievement Review Section Five.
Section VI: GEOMETRIC FIGURES: AREAS AND VOLUMES.
55. Areas of Rectangles, Parallelograms, and Trapezoids.
56. Areas of Triangles.
57. Areas of Circles, Sectors, and Segments.
58. Volumes of Prisms and Cylinders.
59. Volumes of Pyramids and Cones.
60. Volumes of Spheres and Composite Solid Figures.
61. Achievement Review Section Six.
Section VII: TRIGONOMETRY.
62. Introduction to Trigonometric Functions.
63. Analysis of Trigonometric Functions.
64. Basic Calculations of Angles and Sides of Right Triangles.
65. Simple Practical Machine Applications.
66. Complex Practical Machine Applications.
67. The Cartesian Coordinate System.
68. Oblique Triangles: Law of Sines and Law of Cosines.
69. Achievement Review Section Seven.
Section VIII: COMPOUND ANGLES.
70. Introduction to Compound Angles.
71. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths.
72. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles.
73. Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt.
74. Computing Angles Made by the Intersection of Two Angular Surfaces.
75. Computing Compound Angles on Cutting and Forming Tools.
76. Achievement Review Section Eight.
Section IX: COMPUTER NUMERICAL CONTROL: (CNC).
77. Introduction to Computer Numerical Control (CNC).
78. Control Systems, Absolute Positioning, Incremental Positioning.
79. Location of Points: Polar Coordinate System.
80. Binary Numeration System.
81. Hexadecimal Numeration System.
82. BCD (Binary Coded Decimal) Numeration Systems.
83. An Introduction to G- and M-Codes for CNC Programming
84. Achievement Review Section 9.
Appendix A. United States Customary and Metric Units of Measure.
Appendix B. Principles of Plane Geometry.
Appendix C. Formulas for Areas (A) of Plane Figures.
Appendix D. Formulas for Volumes of Solid Figures.
Appendix E. Trigonometry.
Appendix F. Common G- and M-Codes.
Answers to Odd-Numbered Applications.
Index.
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