Mathematics for Machine Technology / Edition 4

Mathematics for Machine Technology / Edition 4

by Robert D. Smith
Pub. Date:
Cengage Learning


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Mathematics for Machine Technology / Edition 4

Occupations like those of machinists, tool and die makers, pattern makers, drafters, and designers require a fundamental knowledge of general math as well as more advanced topics like oblique trigonometry, compound angles, and numerical control. This updated edition of Mathematics for Machine Technology promotes an understanding of all the mathematical concepts necessary for success in the machine trades and manufacturing fields. The author effectively combines math concepts with the relevant machine applications so that readers fully understand the value of what they are learning. Industry-specific examples, realistic illustrations, and actual applications further enhance the theory-to-application connection.

Product Details

ISBN-13: 9780827379428
Publisher: Cengage Learning
Publication date: 09/01/1998
Edition description: Older Edition
Pages: 483
Product dimensions: 8.55(w) x 10.98(h) x 0.75(d)

About the Author

Robert D. Smith was Associate Professor Emeritus of Industrial Technology at Central Connecticut State University, New Britain, Connecticut. Mr. Smith has had experience in the manufacturing industry as 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. He is the author of Delmar Cengage Learning's Mathematics for Machine Technology.

John C. Peterson is a retired Professor of Mathematics at Chattanooga State Technical 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 the automotive industry. In addition to MATH FOR THE TECHNICAL TRADE, 6th Edition, Dr. Peterson authored or coauthored four other Cengage books: Introductory Technical Mathematics, Technical Mathematics, Technical Mathematics with Calculus, and Mathematics for Machine Technology. 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 PhD in Mathematics Education from The Ohio State University.

Table of Contents

Section 1Common Fractions, Decimal Fractions, and Percentage1
Unit 1Introduction to Common Fractions and Mixed Numbers1
Unit 2Addition of Common Fractions and Mixed Numbers6
Unit 3Subtraction of Common Fractions and Mixed Numbers11
Unit 4Multiplication of Common Fractions and Mixed Numbers15
Unit 5Division of Common Fractions and Mixed Numbers19
Unit 6Combined Operations of Common Fractions and Mixed Numbers22
Unit 7Computing with a Calculator: Fractions and Mixed Numbers27
Unit 8Introduction to Decimal Fractions32
Unit 9Rounding Decimal Fractions and Equivalent Decimal and Common Fractions36
Unit 10Addition and Subtraction of Decimal Fractions41
Unit 11Multiplication of Decimal Fractions45
Unit 12Division of Decimal Fractions47
Unit 13Powers51
Unit 14Roots57
Unit 15Table of Decimal Equivalents and Combined Operations of Decimal Fractions62
Unit 16Computing with a Calculator: Decimals68
Unit 17Introduction to Percents73
Unit 18Basic Calculations of Percentages, Percents, and Rates76
Unit 19Percent Practical Applications82
Unit 20Achievement Review--Section One87
Section 2Linear Measurement: Customary (English) and Metric95
Unit 21Customary (English) and Metric Units of Measure95
Unit 22Degree of Precision, Greatest Possible Error, Absolute Error, and Relative Error102
Unit 23Tolerance, Clearance, and Interference107
Unit 24Customary and Metric Steel Rules115
Unit 25Customary Vernier Calipers and Height Gages121
Unit 26Customary Micrometers129
Unit 27Customary and Metric Gage Blocks135
Unit 28Achievement Review--Section Two139
Section 3Fundamentals of Algebra145
Unit 29Symbolism and Algebraic Expressions145
Unit 30Signed Numbers152
Unit 31Algebraic Operations of Addition, Subtraction, and Multiplication165
Unit 32Algebraic Operations of Division, Powers, and Roots172
Unit 33Introduction to Equations184
Unit 34Solution of Equations by the Substraction, Addition, and Division Principles of Equality191
Unit 35Solution of Equations by the Multiplication, Root, and Power Principles of Equality200
Unit 36Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas207
Unit 37Ratio and Proportion215
Unit 38Direct and Inverse Proportions223
Unit 39Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time229
Unit 40Applications of Formulas to Spur Gears238
Unit 41Achievement Review--Section Three246
Section 4Fundamentals of Plane Geometry251
Unit 42Lines and Angular Measure251
Unit 43Protractors--Simple Semicircular and Vernier264
Unit 44Types of Angles and Angular Geometric Principles270
Unit 45Introduction to Triangles277
Unit 46Geometric Principles for Triangles and Other Common Polygons283
Unit 47Introduction to Circles293
Unit 48Arcs and Angles of Circles, Tangent Circles302
Unit 49Fundamental Geometric Constructions312
Unit 50Achievement Review--Section Four320
Section 5Geometric Figures: Areas and Volumes329
Unit 51Areas of Rectangles, Parallograms, and Trapezoids329
Unit 52Areas of Triangles336
Unit 53Areas of Circles, Sectors, and Segments340
Unit 54Volumes of Prisms and Cylinders346
Unit 55Volumes of Pyramids and Cones354
Unit 56Volumes of Spheres and Composite Solid Figures361
Unit 57Achievement Review--Section Five366
Section 6Trigonometry373
Unit 58Introduction to Trigonometric Functions373
Unit 59Analysis of Trigonometric Functions382
Unit 60Basic Calculations of Angles and Sides of Right Triangles386
Unit 61Simple Practical Machine Applications395
Unit 62Complex Practical Machine Applications402
Unit 63The Cartesian Coordinate System412
Unit 64Oblique Triangles: Law of Sines and Law of Cosines416
Unit 65Achievement Review--Section Six426
Section 7Compound Angles431
Unit 66Introduction to Compound Angles431
Unit 67Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths434
Unit 68Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles438
Unit 69Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt445
Unit 70Computing Angles Made by the Intersection of Two Angular Surfaces452
Unit 71Computing Compound Angles on Cutting and Forming Tools458
Unit 72Achievement Review--Section Seven465
Section 8Computer Numerical Control (CNC)467
Unit 73Introduction to Computer Numerical Control (CNC)467
Unit 74Control Systems, Absolute Positioning, Incremental Positioning470
Unit 75Binary Numeration System478
Unit 76Achievement Review--Section Eight482
AUnited States Customary and Metric Units of Measure485
BPrinciples of Plane Geometry486
CFormulas for Areas (A) of Plane Figures488
DFormulas for Volumes of Solid Figures489
Answers to Odd-Numbered Applications493

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