Mathematics for Machine Technology

by Smith, Robert D.

• ISBN13: 9780827379428
• ISBN10: 0827379420
• Edition: 4th
• Format: Paperback
• Copyright: 1998-09-01
• Publisher: Cengage Learning

Summary

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.

Author Biography

Robert D. Smith was an Associate Professor Emeritus of Industrial Technology at Central Connecticut State University in New Britain, Connecticut. His manufacturing industry experience included work as a tool designer, quality control engineer, and chief manufacturing engineer

Table of Contents

Preface	ix
SECTION 1 Common Fractions, Decimal Fractions, and Percentage	1	(94)
UNIT 1 Introduction to Common Fractions and Mixed Numbers	1	(5)
UNIT 2 Addition of Common Fractions and Mixed Numbers	6	(5)
UNIT 3 Subtraction of Common Fractions and Mixed Numbers	11	(4)
UNIT 4 Multiplication of Common Fractions and Mixed Numbers	15	(4)
UNIT 5 Division of Common Fractions and Mixed Numbers	19	(3)
UNIT 6 Combined Operations of Common Fractions and Mixed Numbers	22	(5)
UNIT 7 Computing with a Calculator: Fractions and Mixed Numbers	27	(5)
UNIT 8 Introduction to Decimal Fractions	32	(4)
UNIT 9 Rounding Decimal Fractions and Equivalent Decimal and Common Fractions	36	(5)
UNIT 10 Addition and Subtraction of Decimal Fractions	41	(4)
UNIT 11 Multiplication of Decimal Fractions	45	(2)
UNIT 12 Division of Decimal Fractions	47	(4)
UNIT 13 Powers	51	(6)
UNIT 14 Roots	57	(5)
UNIT 15 Table of Decimal Equivalents and Combined Operations of Decimal Fractions	62	(6)
UNIT 16 Computing with a Calculator: Decimals	68	(6)
UNIT 17 Introduction to Percents	74	(3)
UNIT 18 Basic Calculations of Percentages, Percents, and Rates	77	(5)
UNIT 19 Percent Practical Applications	82	(6)
UNIT 20 Achievement Review-Section One	88	(7)
SECTION 2 Linear Measurement: English and Metric	95	(60)
UNIT 21 English and Metric Units of Measure	95	(7)
UNIT 22 Degree of Precision, Greatest Possible Error, Absolute Error, and Relative Error	102	(5)
UNIT 23 Tolerance, Clearance, and Interference	107	(8)
UNIT 24 English and Metric Steel Rules	115	(6)
UNIT 25 English Vernier Calipers and Height Gages	121	(8)
UNIT 26 Metric Vernier Calipers and Height Gages	129	(5)
UNIT 27 English Micrometers	134	(7)
UNIT 28 Metric Micrometers	141	(5)
UNIT 29 English and Metric Gage Blocks	146	(3)
UNIT 30 Achievement Review-Section Two	149	(6)
SECTION 3 Fundamentals of Algebra	155	(103)
UNIT 31 Symbolism	155	(7)
UNIT 32 Signed Numbers	162	(13)
UNIT 33 Algebraic Operations of Addition, Subtraction, and Multiplication	175	(7)
UNIT 34 Algebraic Operations of Division, Powers, and Roots	182	(10)
UNIT 35 Introduction to Equations	192	(7)
UNIT 36 Solution of Equations by the Subtraction, Addition, and Division Principles of Equality	199	(9)
UNIT 37 Solution of Equations by the Multiplication, Root, and Power Principles of Equality	208	(8)
UNIT 38 Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas	216	(8)
UNIT 39 Ratio and Proportion	224	(7)
UNIT 40 Direct and Inverse Proportions	231	(6)
UNIT 41 Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time	237	(9)
UNIT 42 Applications of Formulas to Spur Gears	246	(8)
UNIT 43 Achievement Review-Section Three	254	(4)
SECTION 4 Fundamentals of Plane Geometry	258	(75)
UNIT 44 Introduction to Geometric Figures	258	(13)
UNIT 45 Protractors-Simple and Vernier	271	(6)
UNIT 46 Angles	277	(7)
UNIT 47 Introduction to Triangles	284	(6)
UNIT 48 Geometric Principles for Triangles and Other Common Polygons	290	(11)
UNIT 49 Introduction to Circles	301	(8)
UNIT 50 Arcs and Angles of Circles	309	(10)
UNIT 51 Fundamental Geometric Constructions	319	(9)
UNIT 52 Achievement Review-Section Four	328	(5)
SECTION 5 Trigonometry	333	(57)
UNIT 53 Introduction to Trigonometric Functions	333	(9)
UNIT 54 Analysis of Trigonometric Functions	342	(5)
UNIT 55 Basic Calculations of Angles and Sides of Right Triangles	347	(7)
UNIT 56 Simple Practical Machine Applications	354	(7)
UNIT 57 Complex Practical Machine Applications	361	(10)
UNIT 58 The Cartesian Coordinate System	371	(4)
UNIT 59 Oblique Triangles: Law of Sines and Law of Cosines	375	(10)
UNIT 60 Achievement Review-Section Five	385	(5)
SECTION 6 Compound Angles	390	(38)
UNIT 61 Introduction to Compound Angles	390	(3)
UNIT 62 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths	393	(4)
UNIT 63 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles	397	(7)
UNIT 64 Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt	404	(8)
UNIT 65 Computing Angles Made by the Intersection of Two Angular Surface	412	(6)
UNIT 66 Computing Compound Angles on Cutting and Forming Tools	418	(7)
UNIT 67 Achievement Review-Section Six	425	(3)
SECTION 7 Computer Numerical Control (CNC)	428	(18)
UNIT 68 Introduction to Computer Numerical Control (CNC)	428	(4)
UNIT 69 Control Systems, Absolute Positioning, Incremental Positioning	432	(7)
UNIT 70 Binary Numeration System	439	(4)
UNIT 71 Achievement Review-Section Seven	443	(3)
Appendix	446	(4)
Answers to Odd-Numbered Applications	450	(27)
Index	477