Mathematics for Machine Technology


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Table of Contents

Unit 1. Introduction to Common Fractions and Mixed Numbers.
Unit 2. Addition of Common Fractions and Mixed Numbers.
Unit 3. Subtraction of Common Fractions and Mixed Numbers.
Unit 4. Multiplication of Common Fractions and Mixed Numbers.
Unit 5. Division of Common Fractions and Mixed Numbers.
Unit 6. Combined Operations of Common Fractions and Mixed Numbers.
Unit 7. Computing with a Calculator: Fractions and Mixed Numbers.
UNIT 8. Computing with a Spreadsheet: Fractions and Mixed Numbers.
Unit 9. Introduction to Decimal Fractions.
Unit 10. Rounding Decimal Fractions and Equivalent Decimal and Common Fractions.
Unit 11. Addition and Subtraction of Decimal Fractions.
Unit 12. Multiplication of Decimal Fractions.
Unit 13. Division of Decimal Fractions.
Unit 14. Powers.
Unit 15. Roots.
Unit 16. Table of Decimal Equivalents and Combined Operations of Decimal Fractions.
Unit 17. Computing with a Calculator: Decimals.
Unit 18. Computing with a Spreadsheet: Decimals.
Unit 19. Achievement Review Section One.
Unit 20. Ratio and Proportion.
Unit 21. Direct and Inverse Proportions.
Unit 22. Introduction to Percents.
Unit 23. Basic Calculations of Percentages, Percents, and Rates.
Unit 24. Percent Practical Applications.
Unit 25. Achievement Review Section Two
Unit 26. Customary (English) Units of Measure.
Unit 27. Metric Units of Linear Measure.
Unit 28. Degree of Precision and Greatest Possible Error, Absolute Error, and Relative Error.
Unit 29. Tolerance, Clearance, and Interference.
Unit 30. Customary and Metric Steel Rules.
Unit 31. Customary Vernier Calipers and Height Gages.
Unit 32. Metric Vernier Calipers and Height Gages.
Unit 33. Digital Calipers and Height Gages.
Unit 34. Customary Micrometers.
Unit 35. Metric Vernier Micrometers.
Unit 36. Digital Micrometers.
Unit 37. Customary and Metric Gage Blocks.
Unit 38. Achievement Review Section Three.
Unit 39. Symbolism and Algebraic Expressions.
Unit 40. Signed Numbers.
Unit 41. Algebraic Operations of Addition, Subtraction, and Multiplication.
Unit 42. Algebraic Operations of Division, Powers, and Roots.
Unit 43. Introduction to Equations.
Unit 44. Solution of Equations by the Subtraction, Addition, and Division Principles of Equality.
Unit 45. Solution of Equations by the Multiplication, Root, and Power Principles of Equality.
Unit 46. Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas.
Unit 47. Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time.
Unit 48. Applications of Formulas to Spur Gears.
Unit 49. Achievement Review Section FOUR.
Unit 50. Lines and Angular Measure.
Unit 51. Protractors- Simple Semicircular and Vernier.
Unit 52. Types of Angles and Angular Geometric Principles.
Unit 53. Introduction to Triangles.
Unit 54. Geometric Principles for Triangles and Other Common Polygons.
Unit 55. Introduction to Circles.
Unit 56. Arcs and Angles of Circles, Tangent Circles.
Unit 57. Fundamental Geometric Constructions.
Unit 58. Achievement Review Section Five.
Unit 59. Areas of Rectangles, Parallelograms, and Trapezoids.
Unit 60. Areas of Triangles.
Unit 61. Areas of Circles, Sectors, and Segments.
Unit 62. Volumes of Prisms and Cylinders.
Unit 63. Volumes of Pyramids and Cones.
Unit 64. Volumes of Spheres and Composite Solid Figures.
Unit 65. Achievement Review Section Six.
Unit 66. Introduction to Trigonometric Functions.
Unit 67. Analysis of Trigonometric Functions.
Unit 68. Basic Calculations of Angles and Sides of Right Triangles.
Unit 69. Simple Practical Machine Applications.
Unit 70. Complex Practical Machine Applications.
Unit 71. The Cartesian Coordinate System.
Unit 72. Oblique Triangles: Law of Sines and Law of Cosines.
Unit 73. Achievement Review Section Seven.
Unit 74. Introduction to Compound Angles.
Unit 75. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths.
Unit 76. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles.
Unit 77. Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt.
Unit 78. Computing Angles Made by the Intersection of Two Angular Surfaces.
Unit 79. Computing Compound Angles on Cutting and Forming Tools.
Unit 80. Achievement Review Section Eight.
Unit 81. Introduction to Computer Numerical Control (CNC).
Unit 82. Control Systems, Absolute Positioning, Incremental Positioning.
Unit 83. Location of Points: Polar Coordinate System.
Unit 84. Binary Numeration System.
Unit 85. Hexadecimal Numeration System.
Unit 86. BCD (Binary Coded Decimal) Numeration Systems.
Unit 87. An Introduction to G- and M-Codes for CNC Programming
Unit 88. 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.

About the Author

Robert D. Smith was Associate Professor Emeritus of Industrial Technology at Central Connecticut State University, New Britain, Connecticut. In addition to his teaching experience, Mr. Smith worked in the manufacturing industry as a tool designer, quality control engineer, and chief manufacturing engineer. He has also been active in teaching applied mathematics, physics, and industrial materials and processes on the secondary school level and in apprenticeship programs. John C. Peterson is a retired Professor of Mathematics at Chattanooga State Community College, Chattanooga, Tennessee, where he received the Teaching Excellence Award. His professional experience includes teaching at middle school, high school, and university levels, as well as work in industry. In addition to MATHEMATICS FOR MACHINE TECHNOLOGY, 8E, Dr. Peterson has authored or co-authored four other Cengage books: INTRODUCTORY TECHNICAL MATHEMATICS, TECHNICAL MATHEMATICS, TECHNICAL MATHEMATICS WITH CALCULUS, and MATH FOR THE AUTOMOTIVE TRADE. A member of the team that revised the 2015 College Board of Mathematical Sciences cross-sectional survey of undergraduate mathematical science programs, Dr. Peterson has also served as a vice president of The American Mathematical Association of Two-Year Colleges. He has published more than 90 journal papers and given more than 200 presentations. Dr. Peterson earned his Ph.D. in mathematics education from The Ohio State University.


Mathematics for Machine Technology has well rounded topics for building a good machinist, good applications and exercises, and plenty of material.

The text is well-designed in terms of content, sequence, and detail.

The Geometry, Trig and all diagrams are fantastic.

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