Mathematics for Machine Technology / Edition 4

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MULTIPLE NEW COPIES AVAILABLE: Published 4th EDITION 1998: DESCRIPTION: 448 Pages: Delmar Cengage Learning; 4 edition (September 1, 1998) : The mathematical concepts that must be ... understood and applied in the machine trades and manufacturing are presented in clear, real world terms in the new edition of this best selling book. The understanding of those concepts is stressed in both the presentation and application in all topics, from simple to complex. The presentation of basic concepts is accompanied by realistic, industry related examples, illustrations, and actual applications. Drawings, rather than words, often inform and motivate the user. Algebraic and geometric principles are carefully sequenced and integrated with trigonometric applications. ABOUT THE AUTHOR: Robert D. Smith is an Associate Professor Emeritus of Industrial Technology at Central Connecticut State University in New Britain Connecticut. His manufacturing industry experience includes work as a tool designer quality control engineer and chief manufacturing engineer. He is also co-author of Delmar's bestselling Mathematics for Machine Technology book. Read more Show Less

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Overview

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.
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Product Details

  • ISBN-13: 9780827379428
  • Publisher: Cengage Learning
  • Publication date: 9/1/1998
  • Edition description: Older Edition
  • Edition number: 4
  • Pages: 483
  • Product dimensions: 8.55 (w) x 10.98 (h) x 0.75 (d)

Meet the Author


Robert D. Smith was an associate professor emeritus of Industrial Technology at Connecticut State University.

John C. Peterson is a retired professor of mathematics at Chattanooga State Technical Community College, where he received the college's Teaching Excellence Award. In addition, he is a past vice president of the American Mathematical Association for Two-Year Colleges (AMATYC) and was co-director of the AMATYC project on Mathematics for the Emerging Technologies funded by the National Science Foundation. He also authored the project report, A Vision: Mathematics for the Emerging Technologies. Dr. Peterson's 90 professional publications include textbooks TECHNICAL MATHEMATICS and INTRODUCTORY TECHNICAL MATHEMATICS. He holds Bachelor of Arts and Master of Arts degrees from the University of Northern Iowa and a doctor of philosophy degree in mathematics education from The Ohio State University.

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Table of Contents

Preface xi
Section 1 Common Fractions, Decimal Fractions, and Percentage 1
Unit 1 Introduction to Common Fractions and Mixed Numbers 1
Unit 2 Addition of Common Fractions and Mixed Numbers 6
Unit 3 Subtraction of Common Fractions and Mixed Numbers 11
Unit 4 Multiplication of Common Fractions and Mixed Numbers 15
Unit 5 Division of Common Fractions and Mixed Numbers 19
Unit 6 Combined Operations of Common Fractions and Mixed Numbers 22
Unit 7 Computing with a Calculator: Fractions and Mixed Numbers 27
Unit 8 Introduction to Decimal Fractions 32
Unit 9 Rounding Decimal Fractions and Equivalent Decimal and Common Fractions 36
Unit 10 Addition and Subtraction of Decimal Fractions 41
Unit 11 Multiplication of Decimal Fractions 45
Unit 12 Division of Decimal Fractions 47
Unit 13 Powers 51
Unit 14 Roots 57
Unit 15 Table of Decimal Equivalents and Combined Operations of Decimal Fractions 62
Unit 16 Computing with a Calculator: Decimals 68
Unit 17 Introduction to Percents 73
Unit 18 Basic Calculations of Percentages, Percents, and Rates 76
Unit 19 Percent Practical Applications 82
Unit 20 Achievement Review--Section One 87
Section 2 Linear Measurement: Customary (English) and Metric 95
Unit 21 Customary (English) and Metric Units of Measure 95
Unit 22 Degree of Precision, Greatest Possible Error, Absolute Error, and Relative Error 102
Unit 23 Tolerance, Clearance, and Interference 107
Unit 24 Customary and Metric Steel Rules 115
Unit 25 Customary Vernier Calipers and Height Gages 121
Unit 26 Customary Micrometers 129
Unit 27 Customary and Metric Gage Blocks 135
Unit 28 Achievement Review--Section Two 139
Section 3 Fundamentals of Algebra 145
Unit 29 Symbolism and Algebraic Expressions 145
Unit 30 Signed Numbers 152
Unit 31 Algebraic Operations of Addition, Subtraction, and Multiplication 165
Unit 32 Algebraic Operations of Division, Powers, and Roots 172
Unit 33 Introduction to Equations 184
Unit 34 Solution of Equations by the Substraction, Addition, and Division Principles of Equality 191
Unit 35 Solution of Equations by the Multiplication, Root, and Power Principles of Equality 200
Unit 36 Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas 207
Unit 37 Ratio and Proportion 215
Unit 38 Direct and Inverse Proportions 223
Unit 39 Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time 229
Unit 40 Applications of Formulas to Spur Gears 238
Unit 41 Achievement Review--Section Three 246
Section 4 Fundamentals of Plane Geometry 251
Unit 42 Lines and Angular Measure 251
Unit 43 Protractors--Simple Semicircular and Vernier 264
Unit 44 Types of Angles and Angular Geometric Principles 270
Unit 45 Introduction to Triangles 277
Unit 46 Geometric Principles for Triangles and Other Common Polygons 283
Unit 47 Introduction to Circles 293
Unit 48 Arcs and Angles of Circles, Tangent Circles 302
Unit 49 Fundamental Geometric Constructions 312
Unit 50 Achievement Review--Section Four 320
Section 5 Geometric Figures: Areas and Volumes 329
Unit 51 Areas of Rectangles, Parallograms, and Trapezoids 329
Unit 52 Areas of Triangles 336
Unit 53 Areas of Circles, Sectors, and Segments 340
Unit 54 Volumes of Prisms and Cylinders 346
Unit 55 Volumes of Pyramids and Cones 354
Unit 56 Volumes of Spheres and Composite Solid Figures 361
Unit 57 Achievement Review--Section Five 366
Section 6 Trigonometry 373
Unit 58 Introduction to Trigonometric Functions 373
Unit 59 Analysis of Trigonometric Functions 382
Unit 60 Basic Calculations of Angles and Sides of Right Triangles 386
Unit 61 Simple Practical Machine Applications 395
Unit 62 Complex Practical Machine Applications 402
Unit 63 The Cartesian Coordinate System 412
Unit 64 Oblique Triangles: Law of Sines and Law of Cosines 416
Unit 65 Achievement Review--Section Six 426
Section 7 Compound Angles 431
Unit 66 Introduction to Compound Angles 431
Unit 67 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths 434
Unit 68 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles 438
Unit 69 Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt 445
Unit 70 Computing Angles Made by the Intersection of Two Angular Surfaces 452
Unit 71 Computing Compound Angles on Cutting and Forming Tools 458
Unit 72 Achievement Review--Section Seven 465
Section 8 Computer Numerical Control (CNC) 467
Unit 73 Introduction to Computer Numerical Control (CNC) 467
Unit 74 Control Systems, Absolute Positioning, Incremental Positioning 470
Unit 75 Binary Numeration System 478
Unit 76 Achievement Review--Section Eight 482
Appendixes
A United States Customary and Metric Units of Measure 485
B Principles of Plane Geometry 486
C Formulas for Areas (A) of Plane Figures 488
D Formulas for Volumes of Solid Figures 489
E Trigonometry 490
Answers to Odd-Numbered Applications 493
Index 521
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