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Technical Mathematics,9780130255266
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Technical Mathematics

by ; ;
ISBN13:

9780130255266

ISBN10:
0130255262
Media:
Hardcover w/CD
Pub. Date:
1/1/2001
Publisher(s):
Prentice Hall
List Price: $101.00
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  • Technical Mathematics
    Technical Mathematics




Summary

//--4881K-2, 0-13-048810-0, Ewen, Dale, Gary, Joan S., Trefzger, James E., Technical Mathematics, 2/E//-- This book provides readers with necessary mathematics skills. Mathematics provides the essential framework for and is the basic language of all the technologies. Mathematical, problem-solving, and critical thinking skills are crucial to understanding the changing face of technology. It presents the following major areas: fundamental concepts and measurement; fundamental algebraic concepts; exponential and logarithmic functions; right-triangle trigonometry; the trigonometric functions with formulas and identities; complex numbers; matrices; polynomial and rational functions; basic statistics for process control; and analytic geometry. An excellent learning aid and resource tool for engineers, especially computer software, hardware, and peripheral manufacturers. Its comprehensive appendices make this an excellent desktop reference.

Table of Contents

Fundamental Concepts
1(76)
The Real Number System
1(4)
Zero and Order of Operations
5(4)
Scientific Notation and Powers of 10
9(5)
Measurement
14(3)
Operations with Measurements
17(4)
Algebraic Expressions
21(5)
Exponents and Radicals
26(5)
Multiplication of Algebraic Expressions
31(4)
Division of Algebraic Expressions
35(3)
Linear Equations
38(4)
Formulas
42(3)
Substitution of Data into Formulas
45(5)
Applications Involving Linear Equations
50(5)
Ratio and Proportion
55(5)
Variation
60(16)
Chapter Summary
65(5)
Review
70(4)
Precision-Machined Computer Disks
74(2)
Right-Triangle Trigonometry
76(34)
The Trigonometric Ratios
76(10)
Values of the Trigonometric Ratios
86(6)
Solving Right Triangles
92(5)
Applications of the Right Triangle
97(13)
Chapter Summary
105(1)
Review
106(2)
The Global Positioning System
108(2)
Equations and Their Graphs
110(32)
Functions
110(5)
Graphing Equations
115(9)
The Straight Line
124(7)
Parallel and Perpendicular Lines
131(4)
The Distance and Midpoint Formulas
135(7)
Chapter Summary
138(2)
Review
140(2)
Factoring and Algebraic Fractions
142(32)
Special Products
142(3)
Factoring Algebraic Expressions
145(6)
Other Forms of Factoring
151(3)
Equivalent Fractions
154(3)
Multiplication and Division of Algebraic Fractions
157(3)
Addition and Subtraction of Algebraic Fractions
160(4)
Complex Fractions
164(3)
Equations with Fractions
167(7)
Chapter Summary
171(2)
Review
173(1)
Systems of Linear Equations
174(48)
Solving a System of Two Linear Equations
174(10)
Other Systems of Equations
184(2)
Solving a System of Three Linear Equations
186(6)
Determinants
192(5)
Properties of Determinants
197(3)
Solving a System of Linear Equations Using Determinants
200(6)
Partial Fractions
206(16)
Chapter Summary
213(4)
Review
217(3)
Solar Cell Technology
220(2)
Quadratic Equations
222(17)
Solving a Quadratic Equation by Factoring
222(3)
Solving Quadratic Equations by Completing the Square
225(3)
The Quadratic Formula
228(4)
Applications
232(7)
Chapter Summary
236(1)
Review
237(2)
Exponents and Radicals
239(25)
Integral Exponents
239(4)
Fractional Exponents
243(3)
Simplest Radical Form
246(6)
Addition and Subtraction of Radicals
252(2)
Multiplication and Division of Radicals
254(3)
Equations with Radicals
257(3)
Equations in Quadratic Form
260(4)
Chapter Summary
262(1)
Review
263(1)
Exponentials and Logarithms
264(42)
The Exponential Function
264(4)
The Logarithm
268(3)
Properties of Logarithms
271(4)
Common Logarithms
275(4)
Natural Logarithms
279(6)
Solving Exponential Equations
285(3)
Solving Logarithmic Equations
288(2)
Applications: Solving Exponential and Logarithmic Equations
290(4)
Data Along a Straight Line
294(12)
Chapter Summary
300(2)
Review
302(2)
Airbags
304(2)
Trigonometric Functions
306(27)
The Trigonometric Functions
306(8)
Trigonometric Functions of Any Angle
314(5)
Radian Measure
319(7)
Use of Radian Measure
326(7)
Chapter Summary
330(1)
Review
331(2)
Oblique Triangles and Vectors
333(44)
Law of Sines
333(6)
The Ambiguous Case
339(4)
Law of Cosines
343(4)
Applications of Oblique Triangles
347(5)
Addition of Vectors: Graphical Methods
352(5)
Addition of Vectors: Trigonometric Methods
357(3)
Vector Components
360(6)
Vector Applications
366(11)
Chapter Summary
373(1)
Review
374(3)
Graphing the Trigonometric Functions
377(23)
Graphing the Sine and Cosine Functions
377(5)
Phase Shift
382(4)
Graphing the Other Trigonometric Functions
386(3)
Graphing Composite Curves
389(2)
Simple Harmonic Motion
391(9)
Chapter Summary
395(1)
Review
396(2)
Improving Color Television
398(2)
Trigonometric Formulas and Identities
400(35)
Basic Trigonometric Identities
400(6)
Formulas for the Sum and the Difference of Two Angles
406(5)
Double- and Half-Angle Formulas
411(6)
Trigonometric Equations
417(3)
Inverse Trigonometric Relations
420(5)
Inverse Trigonometric Functions
425(10)
Chapter Summary
431(2)
Review
433(2)
Complex Numbers
435(21)
Complex Numbers in Rectangular Form
435(6)
Trigonometric and Exponential Forms of Complex Numbers
441(3)
Multiplication and Division of Complex Numbers in Exponential and Trigonometric Forms
444(4)
Powers and Roots
448(8)
Chapter Summary
453(2)
Review
455(1)
Matrices
456(24)
Basic Operations
456(5)
Multiplication of Matrices
461(4)
Finding the Inverse of a Matrix
465(8)
Solving a System of Equations by a Matrix Method
473(7)
Chapter Summary
477(1)
Review
478(2)
Polynomials of Higher Degree
480(16)
Polynomial Functions
480(5)
Real Solutions of Polynomial Equations
485(3)
Complex Solutions of Polynomial Equations
488(8)
Chapter Summary
491(1)
Review
492(2)
Matrices Used to Encode Information
494(2)
Inequalities and Absolute Value
496(20)
Inequalities
496(8)
Equations and Inequalities Involving Absolute Value
504(3)
Other Types of Inequalities
507(4)
Inequalities in Two Variables
511(5)
Chapter Summary
513(1)
Review
514(2)
Progressions and the Binomial Theorem
516(16)
Arithmetic Progressions
516(3)
Geometric Progressions
519(4)
The Binomial Theorem
523(9)
Chapter Summary
525(1)
Review
526(2)
Statistics in the Manufacturing Process
528(4)
Statistics for Process Control
532(29)
Graphic Presentation of Data
532(5)
Measures of Central Tendency
537(3)
Measures of Dispersion
540(4)
The Normal Distribution
544(3)
Fitting Curves to Data Sets
547(5)
Statistical Process Control
552(9)
Chapter Summary
557(1)
Review
558(3)
Analytic Geometry
561(52)
The Circle
561(5)
The Parabola
566(9)
The Ellipse
575(4)
The Hyperbola
579(6)
Translation of Axes
585(5)
The General Second-Degree Equation
590(2)
Systems of Quadratic Equations
592(3)
Polar Coordinates
595(8)
Graphs in Polar Coordinates
603(10)
Chapter Summary
609(2)
Review
611(2)
APPENDIX A Review of Geometry 613(6)
A.1 Angle and Lines
613(1)
A.2 Triangles
614(2)
A.3 Quadrilaterals
616(1)
A.4 Circles
617(1)
A.5 Areas and Volumes of Solids
618(1)
APPENDIX B The Metric System 619(25)
B.1 Introduction
619(3)
B.2 Length
622(4)
B.3 Mass
626(2)
B.4 Volume and Area
628(5)
B.5 Temperature, Time, Current, and Power
633(6)
B.6 Other Conversions
639(5)
Appendix B Review
642(2)
APPENDIX C Using a Graphing Calculator 644(29)
C.1 Introduction to the TI-83 Keyboard
644(3)
C.2 Computational Examples
647(3)
C.3 Graphing Features
650(2)
C.4 Examples of Graphing
652(6)
C.5 Trigonometric Functions and Polar Coordinates
658(4)
C.6 Equation-Solving and TABLE Features
662(3)
C.7 The Numeric SOLVER
665(2)
C.8 Matrix Features
667(2)
C.9 LIST Features and Descriptive Statistics
669(2)
C.10 The Line of Best Fit (Linear Regression)
671(2)
APPENDIX D Using an Advanced Graphing Calculator 673(38)
D.1 Introduction to the TI-89 Keyboard
673(3)
D.2 Variables and Editing
676(1)
D.3 The Home Screen Menus
677(2)
D.4 The Keyboard Menus
679(5)
D.5 Graphing Functions
684(2)
D.6 Examples of Graphing
686(8)
D.7 Trig Functions and Polar Coordinates
694(4)
D.8 Numerical GRAPH and TABLE Features
698(3)
D.9 Sequences and Series
701(1)
D.10 The Numeric Solver
702(2)
D.11 Matrix Features
704(1)
D.12 The Data Editor and Descriptive Statistics
705(1)
D.13 The Line of Best Fit (Linear Regression)
706(1)
D.14 Symbolic Algebra Features
707(4)
APPENDIX E Tables 711(6)
Table 1 English Weights and Measures
711(1)
Table 2 Metric System Prefixes
712(1)
Table 3 Conversion Tables
713(2)
Table 4 Physical Quantities and Their Units
715(2)
Answers to Odd-Numbered Exercises and Chapter Reviews 717(60)
Index 777


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