Nelson Higher Education

Higher Education

Mathematics for Machine Technology, 6th Edition

  • Robert D. Smith
  • John C. Peterson
  • ISBN-10: 1428336567
  • ISBN-13: 9781428336568
  • 276 Pages | Paperback
  • Previous Editions: 2004, 1999, 1990
  • COPYRIGHT: 2010 Published
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About the Product

The new edition of this best-selling text has been reviewed and revised to clarify and update an understanding of mathematical concepts necessary for success in the machine trades and manufacturing fields. Mathematics for Machine Technology, Sixth Edition overcomes the often mechanical "plug in" approach found in many trade-related texts. A complete grasp of mathematical concepts are emphasized in the presentation and application of a wide-range of topics from general arithmetic processes to oblique trigonometry, compound angles, and numerical control. The material covered by this text is accompanied by realistic industry-related examples, illustrations, and actual applications, which progress from the simple to the relatively complex. Mathematics for Machine Technology, Sixth Edition provides readers with practical vocational and technical applications of mathematical concepts necessary to excel in the machine, tool-and-die, and tool design industry.


  • New units added on polar coordinates and hexadecimal and BCD (Binary Coded Decimal) numeration systems as well as new material conversion between the metric and the customary systems of measure make this more comprehensive as well as up-to-date

  • Scientific calculator examples are updated and expanded and sequencing has been modernized, with up-to-date instructions on how to use this tool

  • Problems and examples reinforce the book's 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

  • Emphasizes an analytical approach that is necessary in translating engineering drawing dimensions to machine-working dimensions giving readers a realistic experience for what's required in the industry

  • An all-new Instructor's e-resource has been developed for this edition, containing answers and solutions to all problems

About the Author

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.

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.

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 Customary Micrometers
Unit 31 Customary and Metric Gage Blocks
Unit 32 Achievement Review- Section III
Unit 33 Symbolism and Algebraic Expressions
Unit 34 Signed Numbers
Unit 35 Algebraic Operations of Addition, Subtraction, and Multiplication
Unit 36 Algebraic Operations of Division, Powers, and Roots
Unit 37 Introduction to Equations
Unit 38 Solution of Equations by the Subtraction, Addition, and Division Principles of Equality
Unit 39 Solution of Equations by the Multiplication, Root and Power Principles of Equality
Unit 40 Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas
Unit 41 Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time
Unit 42 Applications of Formulas to Spur Gears
Unit 43 Achievement Review- Section IV
Unit 44 Lines and Angular Measure
Unit 45 Protractors- Simple, Semicircular, and Vernier
Unit 46 Types of Angles and Angular Geometric Principles
Unit 47 Introduction to Triangles
Unit 48 Geometric Principles for Triangles and Other Common Polygons
Unit 49 Introduction to Circles
Unit 50 Arcs and Angles of Circles
Unit 51 Fundamental Geometric Constructions
Unit 52 Achievement Review- Section V
Unit 53 Areas of Rectangles, Parallelograms, and Trapezoids
Unit 54 Areas of Triangles
Unit 55 Areas of Circles, Sectors, and Segments
Unit 56 Volumes of Prisms and Cyclinders
Unit 57 Volumes of Pyramids and Cones
Unit 58 Volumes of Spheres and Composite Solid Figures
Unit 59 Achievement Review- Section VI
Unit 60 Introduction to Trigonometric Functions
Unit 61 Analysis of Trigonometric Functions
Unit 62 Basic Calculations of Angles and Sides of Right Triangles
Unit 63 Simple Practical Machine Applications
Unit 64 Complex Practical Machine Applications
Unit 65 The Cartesian Coordinate System
Unit 66 Oblique Triangles: Law of Sines and Law of Cosines
Unit 67 Achievement Review- Section VII
Unit 68 Introduction to Compound Angles
Unit 69 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths
Unit 70 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles
Unit 71 Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt
Unit 72 Computing Compound Angles Made by the Intersection of Two Angular Surfaces
Unit 73 Computing Compound Angles on Cutting and Forming Tools
Unit 74 Achievement Review- Section VIII
Unit 75 Introduction to Computer Numerical Control
Unit 76 Control Systems, Absolute Positioning, Incremental Positioning
Unit 77 Location of Points: Polar Coordinate System
Unit 78 Binary Numeration System
Unit 79 Hexadecimal Numeration System
Unit 80 BCD (Binary Coded Decimal) Numeration System
Unit 81 Achievement Review- Section IX
A United States Customary and Metric Units of Measure
B Principles of Plane Geometry
C Formulas for Areas (A) of Plane Figures
D Formulas for Volumes of Solid Figures
E Trigonometry
Answers to Odd-Numbered Applications


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

Instructor Supplements

eResource  (ISBN-10: 1428336575 | ISBN-13: 9781428336575)