Introductory Technical Mathematics,
7th Edition

Part I: FUNDAMENTALS OF GENERAL MATHEMATICS.
1. Whole Numbers.
2. Common Fractions.
3. Decimal Fractions.
4. Ratio and Proportion.
5. Percents.
6. Signed Numbers.
Part II: MEASUREMENT.
7. Precision, Accuracy, and Tolerance.
8. Customary Measurement Units.
9. Metric Measurement Units.
10. Steel Rules and Vernier Calipers.
11. Micrometers.
Part III: FUNDAMENTALS OF ALGEBRA.
12. Introduction to Algebra.
13. Basic Algebraic Operations.
14. Simple Equations.
15. Complex Equations.
16. The Cartesian Coordinate System and Graphs of Linear Equations.
17. Systems of Equations.
18. Quadratic Equations.
Part IV: FUNDAMENTALS OF PLANE GEOMETRY.
19. Introduction to Plane Geometry.
20. Angular Measure.
21. Angular Geometric Principles.
22. Triangles.
23. Congruent and Similar Figures.
24. Polygons.
25. Circles.
Part V: GEOMETRIC FIGURES: AREAS AND VOLUMES.
26. Areas of Common Polygons.
27. Areas of Circles, Sectors, Segments, and Ellipses.
28. Prisms and Cylinders: Volumes, Surface Areas, and Weights.
29. Pyramids and Cones: Volumes, Surface Areas, and Weights.
30. Spheres and Composite Figures: Volumes, Surface Areas, and Weights.
Part VI: BASIC STATISTICS.
31. Graphs: Bar, Circle, and Line.
32. Statistics.
Part VII: FUNDAMENTALS OF TRIGONOMETRY.
33. Introduction to Trigonometric Functions.
34. Trigonometric Functions with Right Triangles.
35. Practical Applications with Right Triangles.
36. Functions of Any Angle, Oblique Triangles.
37. Vectors.
Appendix A: United States Customary and Metric Units of Measure.
Appendix B: Formulas for Areas (A) of Plane Figures.
Appendix C: Formulas for Volumes and Areas of Solid Figures.
Appendix D: Answers to Odd-Numbered Exercises.

• 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.

• The Seventh Edition includes more than 1500 new exercises, providing a wide variety of opportunities for students to assess their learning and hone their skills through practical activities aligned to real-world applications.

• Content has been revised and updated to reflect current and emerging trends and technology in today’s industry, including more energy-efficient examples of electrical applications, expanded coverage of estimation usage to help students better understand whether answers are reasonable, and introductory spreadsheet material that covers working on a touchscreen tablet.

• The authors have revised chapter content in key areas, including consolidating many brief sections to make the text more engaging, efficient, and cohesive for today’s learners.

• Written in an engaging, straightforward style, the text begins with simple concepts and helps students steadily build the skills and confidence they need to solve even the most complex problems.

• Many exercise sets begin with a half-dozen or more Power Up exercises referencing material covered in earlier sections, helping students refresh and expand key skills as they progress through the text.

• Clear explanations and easy-to-follow procedural steps explain how to solve example problems, providing useful and effective guidance to help students apply what they have learned.

• Illustrations accompany many problems and resemble those found in technical manuals and handbooks, emphasizing the real-world relevance of mathematics concepts for professional success.

• Coverage of statistics ranges from introduction of basic statistical concepts to exploration of statistical graphing techniques such as bar, line, and circle graphs.

• The authors explain how to solve many problems using calculators and spreadsheets, providing valuable, practical instruction that students can apply on the job using common tools of the trade.

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