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Fundamentals of Technical Mathematics

Book Description

Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions.

The book covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries, providing a go-to resource on the topic. Building on these foundations, it then explores concepts in arithmetic, introductory algebra, equations, inequalities, and modeling, graphs and functions, measurement, geometry, and trigonometry, all the while supporting these concepts with practical applications in a variety of technical and career vocations, including automotive, allied health, welding, plumbing, machine tool, carpentry, auto mechanics, HVAC, and many other fields. In addition, the book provides practical examples from a vast number of technologies.



  • Presents foundational math concepts in a concise, engaging way
  • Covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries
  • Reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions
  • Connects concepts with recent applications in technology, engineering, manufacturing, and science
  • Includes many practice and review problems

Table of Contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. Preface
  7. Acknowledgments
  8. Chapter 1. Basic Concepts in Arithmetic
    1. Introduction
    2. 1.1. Basic arithmetic
    3. 1.1. Exercises
    4. 1.2. Decimals
    5. 1.2. Exercises
    6. 1.3. Percents (%)
    7. 1.3. Exercises
    8. Chapter 1 Review exercises
  9. Chapter 2. Introduction to Algebra
    1. Introduction
    2. 2.1. Introduction to algebra
    3. 2.1. Exercises
    4. 2.2. Addition, subtraction, multiplication, and division of monomials
    5. 2.2. Exercises
    6. 2.3. Ratio, proportion, and variation
    7. 2.3. Exercises
    8. Chapter 2 Review exercises
  10. Chapter 3. Equations, Inequalities, and Modeling
    1. Introduction
    2. 3.1. Equations
    3. 3.1. Exercises
    4. 3.2. Inequality equations and intervals
    5. 3.2. Exercises
    6. 3.3. Complex numbers
    7. 3.3. Exercises
    8. Chapter 3 Review exercises
  11. Chapter 4. Graphs and Functions
    1. Introduction
    2. 4.1. Graphs
    3. 4.1. Exercises
    4. 4.2. Functions
    5. 4.2. Exercises
    6. Chapter 4 Review exercises
  12. Chapter 5. Measurement
    1. Introduction
    2. 5.1. Length measurements
    3. 5.1. Exercises
    4. 5.2. Mass and weight measurements
    5. 5.2. Exercises
    6. 5.3. Capacity measurements of liquid
    7. 5.3. Exercises
    8. 5.4. Time measurements
    9. 5.4. Exercises
    10. 5.5. Temperature (T) measurement
    11. 5.5. Exercises
    12. 5.6. Derived units
    13. 5.6. Exercises
    14. Chapter 5 Review exercises
  13. Chapter 6. Geometry
    1. Introduction
    2. 6.1. Basic concepts in geometry
    3. 6.1. Exercises
    4. 6.2. Angle measurement and triangles
    5. 6.2. Exercises
    6. 6.3. Perimeter and circumference in geometry
    7. 6.3. Exercises
    8. 6.4. Area in geometry
    9. 6.4. Exercises
    10. 6.5. Volume in geometry
    11. 6.5. Exercises
    12. Chapter 6 Review exercises
  14. Chapter 7. Trigonometry
    1. Introduction
    2. 7.1. Units of angles
    3. 7.1. Exercises
    4. 7.2. Types of angles and right triangle
    5. 7.2. Exercises
    6. 7.3. Trigonometric functions
    7. 7.3. Exercises
    8. 7.4. Unit circle and oblique triangles
    9. 7.4. Exercises
    10. Chapter 7 Review exercises
  15. Chapter 8. Matrices, Determinants, and Vectors
    1. Introduction
    2. 8.1. Matrices
    3. 8.1. Exercises
    4. 8.2. Determinants
    5. 8.2. Exercises
    6. 8.3. Vectors
    7. 8.3. Exercises
    8. Chapter 8 Review exercises
  16. Appendix A. Maple
  17. Appendix B. MATLAB
  18. Appendix C. Solution Manual
  19. Glossary
  20. Index