Mathematics for Machine Technology

by Smith, Robert D.; Peterson, John C.

• ISBN13: 9781428336568
• ISBN10: 1428336567
• Edition: 6th
• Format: Paperback
• Copyright: 2008-12-24
• Publisher: Cengage Learning

Summary

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.

Table of Contents

Common Fractions and Decimal Fractions

Introduction to Common Fractions and Mixed Numbers

Addition of Common Fractions and Mixed Numbers

Subtraction of Common Fractions and Mixed Numbers

Multiplication of Common Fractions and Mixed Numbers

Division of Common Fractions and Mixed Numbers

Combined Operations of Common Fractions and Mixed Numbers

Computing with a Calculator: Fractions and Mixed Numbers

Introduction to Decimal Fractions

Rounding Decimal Fractions and Equivalent Decimal and Common Fractions

Addition and Subtraction of Decimal Fractions

Multiplication of Decimal Fractions

Division of Decimal Fractions

Powers

Roots

Table of Decimal Equivalents and Combined Operations of Decimal Fractions

Computing with a Calculator: Decimals

Achievement Review- Section I

Ratio, Proportion, and Percent

Ratio and Proportion

Introduction to Percents

Basic Calculations of Percentages, Percents, and Rates

Percent Practical Applications

Direct and Inverse Proportions

Achievement Review- Section II

Linear Measurement: English and Metric

Customary (English) Units of Measure

Metric Units of Measure

Degree of Precision and Greatest Possible Error, Absolute Error, and Relative Error

Tolerance, Clearance, and Interference

Customary and Metric Steel Rules

Customary Vernier Calipers and Height Gages

Customary Micrometers

Customary and Metric Gage Blocks

Achievement Review- Section III

Fundamentals of Algebra

Symbolism and Algebraic Expressions

Signed Numbers

Algebraic Operations of Addition, Subtraction, and Multiplication

Algebraic Operations of Division, Powers, and Roots

Introduction to Equations

Solution of Equations by the Subtraction, Addition, and Division Principles of Equality

Solution of Equations by the Multiplication, Root and Power Principles of Equality

Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas

Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time

Applications of Formulas to Spur Gears

Achievement Review- Section IV

Fundamentals of Plane Geometry

Lines and Angular Measure

Protractors- Simple, Semicircular, and Vernier

Types of Angles and Angular Geometric Principles

Introduction to Triangles

Geometric Principles for Triangles and Other Common Polygons

Introduction to Circles

Arcs and Angles of Circles

Fundamental Geometric Constructions

Achievement Review- Section V

Geometric Figures, Areas and Volumes

Areas of Rectangles, Parallelograms, and Trapezoids

Areas of Triangles

Areas of Circles, Sectors, and Segments

Volumes of Prisms and Cyclinders

Volumes of Pyramids and Cones

Volumes of Spheres and Composite Solid Figures

Achievement Review- Section VI

Trigonometry

Introduction to Trigonometric Functions

Analysis of Trigonometric Functions

Basic Calculations of Angles and Sides of Right Triangles

Simple Practical Machine Applications

Complex Practical Machine Applications

The Cartesian Coordinate System

Oblique Triangles: Law of Sines and Law of Cosines

Achievement Review- Section VII

Compound Angles

Introduction to Compound Angles

Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths

Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles

Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt U

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