Nelson Higher Education

Higher Education

Mathematics for Machine Technology, 7th Edition

  • John C. Peterson
  • Robert D. Smith
  • ISBN-10: 1133281451
  • ISBN-13: 9781133281450
  • 608 Pages | Paperback
  • Previous Editions: 2010, 2004, 1999
  • COPYRIGHT: 2016 Published
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About the Product

Reflecting the latest technology and tools of the trade, MATHEMATICS FOR MACHINE TECHNOLOGY, 7e provides the mathematical skills and practice that students and apprentices will use on the job in the machine trades and manufacturing fields. This comprehensive book combines math concepts with relevant machine applications through industry-specific examples, realistic illustrations, and actual machine applications. Problems and examples progress from simpler to more complex, from general math to trigonometry and solid geometry. The examples and problems relate directly to how the math is used in machine trades and manufacturing fields and include calculator operations where appropriate. In addition, the exciting new Seventh Edition includes all-new units on electronic calipers, height gages, and electronic micrometers, as well as thorough coverage of measuring in both metric and customary systems. This proven text continues to provide readers with practical vocational and technical applications of mathematical concepts necessary to excel in the machine, tool-and-die, and tool design industry.


  • MATHEMATICS FOR MACHINE TECHNOLOGY, 7e provides general math as well as more advanced topics like compound angles and numerical control.

  • The text delivers thorough coverage of polar coordinates and hexadecimal and BCD (Binary Coded Decimal) numeration systems as well as detailed material conversion between metric and customary systems of measure.

  • Comprehensive scientific calculator examples are up to date, while sequencing is completely modernized and includes up-to-the-minute instructions on how to use this tool.

  • Problems and examples reinforce the book's student-friendly method of progressing from the simple to the relatively complex, underscoring its organized approach to learning.

  • Extensive use of realistic trade-related illustrations bring concepts to life.

  • Offering an up-close, realistic experience for what's required in the industry, the text emphasizes an analytical approach that is necessary in translating engineering drawing dimensions to machine-working dimensions.

  • An expansive Instructor's e-resource includes answers and solutions to all problems.

  • Ensuring your students are well prepared for real-world practice, the text provides thorough coverage of the emerging electronic and digital tools while also retaining instructions for using analog tools.

About the Author

John C. Peterson

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.

Robert D. Smith

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.

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

New to this edition

  • All-new units cover measuring with metric calipers and height gages (Unit 30) and micrometers (Unit 33), ensuring your students have a solid understanding of the metric system, including converting within the metric system, converting between the customary and metric systems, and using metric measuring instruments.
  • All-new units on electronic calipers and height gages (Unit 31) and electronic micrometers (Unit 34) demonstrate step by step how to use the electronic measuring instruments in both customary and metric units.
  • Most sets of exercises begin with six "Tooling Up" exercises that use concepts from earlier units. Included in each unit except for Unit 1 and the Achievement Review unit at the end of each section, these hands-on applications help students retain ideas from previous sections and continue to build on their knowledge.


All supplements have been updated in coordination with the Main title.
Please see Main title page for new to this edition information.

Instructor Supplements

Instructor's Companion Web Site  (ISBN-10: 113328146X | ISBN-13: 9781133281467)
Cengage Testing, powered by Cognero┬« Instant Access  (ISBN-10: 1285980794 | ISBN-13: 9781285980799)