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Basic Technical Mathematics,9780201356649
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Basic Technical Mathematics

by
Edition:
7th
ISBN13:

9780201356649

ISBN10:
0201356643
Format:
Hardcover
Pub. Date:
1/1/2000
Publisher(s):
Addison Wesley
List Price: $128.20
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Summary

Technical mathematics is a course pioneered by Allyn Washington, and the seventh edition of this text preserves the author's highly regarded approach to technical math while improving on the integration of technology in the text. The book is intended for a two or three-semester course and is taught primarily to students who plan to pursue technical fields. The primary strength of the text is the heavy integration of technical applications, which aids the student pursuing a technical career by showing the importance of a strong foundation in algebraic and trigonometric math. Allyn Washington defined the technical math market when he wrote the first edition of Basic Technical Mathematics over thirty years ago. His continued vision is to provide highly accurate mathematical concepts based on technical applications. The course is designed to allow the student to be simultaneously enrolled in allied technical areas, such as physics or electronics. The material in the text can be easily rearranged to fit the needs of both instructor and students. Above all, the author's vision of this book is to continue to enlighten today's students that an understanding of elementary math is critical in many aspects of life.

Table of Contents

Basic Algebraic Operations
1(47)
Numbers
2(4)
Fundamental Operations of Algebra
6(4)
Calculators and Approximate Numbers
10(6)
Exponents
16(5)
Scientific Notation
21(3)
Roots and Radicals
24(2)
Addition and Subtraction of Algebraic Expressions
26(3)
Multiplication of Algebraic Expressions
29(2)
Division of Algebraic Expressions
31(3)
Solving Equations
34(4)
Formulas and Literal Equations
38(3)
Applied Word Problems
41(7)
Chapter Equations, Review Exercises, and Practice Test
45(3)
Geometry
48(29)
Lines and Angles
48(4)
Triangles
52(6)
Quadrilaterals
58(4)
Circles
62(3)
Measurement of Irregular Areas
65(4)
Solid Geometric Figures
69(8)
Chapter Equations, Review Exercises, and Practice Test
73(4)
Functions and Graphs
77(27)
Introduction to Functions
77(4)
More About Functions
81(5)
Rectangular Coordinates
86(2)
The Graph of a Function
88(5)
Graphs on the Graphing Calculator
93(4)
Graphs of Functions Defined by Tables of Data
97(7)
Review Exercises and Practice Test
101(3)
The Trigonometric Functions
104(25)
Angles
104(3)
Defining the Trigonometric Functions
107(5)
Values of the Trigonometric Functions
112(4)
The Right Triangle
116(4)
Applications of Right Triangles
120(9)
Chapter Equations, Review Exercises, and Practice Test
124(5)
Systems of Linear Equations; Determinants
129(37)
Linear Equations
129(3)
Graphs of Linear Functions
132(4)
Solving Systems of Two Linear Equations in Two Unknowns Graphically
136(4)
Solving Systems of Two Linear Equations in Two Unknowns Algebraically
140(7)
Solving Systems of Two Linear Equations in Two Unknowns by Determinants
147(5)
Solving Systems of Three Linear Equations in Three Unknowns Algebraically
152(5)
Solving Systems of Three Linear Equations in Three Unknowns by Determinants
157(9)
Chapter Equations, Review Exercises, and Practice Test
162(4)
Factoring and Fractions
166(36)
Special Products
166(4)
Factoring: Common Factor and Difference of Squares
170(4)
Factoring Trinomials
174(6)
The Sum and Difference of Cubes
180(1)
Equivalent Fractions
181(5)
Multiplication and Division of Fractions
186(3)
Addition and Subtraction of Fractions
189(6)
Equations Involving Fractions
195(7)
Chapter Equations, Review Exercises, and Practice Test
199(3)
Quadratic Equations
202(19)
Quadratic Equations; Solution by Factoring
202(5)
Completing the Square
207(3)
The Quadratic Formula
210(4)
The Graph of the Quadratic Function
214(7)
Chapter Equations, Review Exercises, and Practice Test
218(3)
Trigonometric Functions of Any Angle
221(22)
Signs of the Trigonometric Functions
221(3)
Trigonometric Functions of Any Angle
224(6)
Radians
230(5)
Applications of Radian Measure
235(8)
Chapter Equations, Review Exercises, and Practice Test
240(3)
Vectors and Oblique Triangles
243(33)
Introduction to Vectors
243(5)
Components of Vectors
248(4)
Vector Addition by Components
252(5)
Applications of Vectors
257(4)
Oblique Triangles, the Law of Sines
261(7)
The Law of Cosines
268(8)
Chapter Equations, Review Exercises, and Practice Test
272(4)
Graphs of the Trigonometric Functions
276(24)
Graphs of y = a sin x and y = a cos x
276(4)
Graphs of y = a sin bx and y = a cos bx
280(3)
Graphs of y = a sin(bx + c) and y = a cos(bx + c)
283(4)
Graphs of y = tan x, y = cot x, y = sec x, y = csc x
287(3)
Applications of the Trigonometric Graphs
290(3)
Composite Trigonometric Curves
293(7)
Chapter Equations, Review Exercises, and Practice Test
297(3)
Exponents and Radicals
300(21)
Simplifying Expressions with Integral Exponents
300(5)
Fractional Exponents
305(4)
Simplest Radical Form
309(3)
Addition and Subtraction of Radicals
312(3)
Multiplication and Division of Radicals
315(6)
Chapter Equations, Review Exercises, and Practice Test
319(2)
Complex Numbers
321(30)
Basic Definitions
321(4)
Basic Operations with Complex Numbers
325(3)
Graphical Representation of Complex Numbers
328(2)
Polar Form of a Complex Number
330(3)
Exponential Form of a Complex Number
333(3)
Products, Quotients, Powers, and Roots of Complex Numbers
336(6)
An Application to Alternating-Current (ac) Circuits
342(9)
Chapter Equations, Review Exercises, and Practice Test
348(3)
Exponential and Logarithmic Functions
351(28)
The Exponential and Logarithmic Functions
351(3)
Graphs of y = bx and y = logbx
354(4)
Properties of Logarithms
358(4)
Logarithms to the Base 10
362(3)
Natural Logarithms
365(3)
Exponential and Logarithmic Equations
368(4)
Graphs on Logarithmic and Semilogarithmic Paper
372(7)
Chapter Equations, Review Exercises, and Practice Test
376(3)
Additional Types of Equations and Systems of Equations
379(17)
Graphical Solution of Systems of Equations
379(4)
Algebraic Solution of Systems of Equations
383(3)
Equations in Quadratic Form
386(4)
Equations with Radicals
390(6)
Review Exercises and Practice Test
393(3)
Equations of Higher Degree
396(20)
The Remainder Theorem and the Factor Theorem
396(3)
Synthetic Division
399(4)
The Roots of an Equation
403(5)
Rational and Irrational Roots
408(8)
Chapter Equations, Review Exercises, and Practice Test
414(2)
Determinants and Matrices
416(33)
Determinants: Expansion by Minors
416(6)
Some Properties of Determinants
422(4)
Matrices: Definitions and Basic Operations
426(4)
Multiplication of Matrices
430(5)
Finding the Inverse of a Matrix
435(5)
Matrices and Linear Equations
440(9)
Chapter Equations, Review Exercises, and Practice Test
444(5)
Inequalities
449(26)
Properties of Inequalities
449(5)
Solving Linear Inequalities
454(5)
Solving Nonlinear Inequalities
459(6)
Inequalities Involving Absolute Values
465(3)
Graphical Solution of Inequalities with Two Variables
468(7)
Chapter Equations, Review Exercises, and Practice Test
473(2)
Variation
475(14)
Ratio and Proportion
475(5)
Variation
480(9)
Chapter Equations, Review Exercises, and Practice Test
485(4)
Sequences and the Binomial Theorem
489(20)
Arithmetic Sequences
489(6)
Geometric Sequences
495(3)
Infinite Geometric Series
498(4)
The Binomial Theorem
502(7)
Chapter Equations, Review Exercises, and Practice Test
506(3)
Additional Topics in Trigonometry
509(34)
Fundamental Trigonometric Identities
510(7)
The Sum and Difference Formulas
517(5)
Double-Angle Formulas
522(3)
Half-Angle Formulas
525(4)
Solving Trigonometric Equations
529(4)
The Inverse Trigonometric Functions
533(10)
Chapter Equations, Review Exercises, and Practice Test
539(4)
Plane Analytic Geometry
543(48)
Basic Definitions
543(5)
The Straight Line
548(6)
The Circle
554(4)
The Parabola
558(5)
The Ellipse
563(5)
The Hyperbola
568(6)
Translation of Axes
574(3)
The Second-Degree Equation
577(3)
Polar Coordinates
580(3)
Curves in Polar Coordinates
583(8)
Chapter Equations, Review Exercises, and Practice Test
586(5)
Introduction to Statistics
591(36)
Frequency Distributions
592(4)
Measures of Central Tendency
596(4)
Standard Deviation
600(4)
Normal Distributions
604(5)
Statistical Process Control
609(5)
Linear Regression
614(5)
Nonlinear Regression
619(8)
Chapter Equations, Review Exercises, and Practice Test
623(4)
SUPPLEMENTARY TOPICS 627
S-1 Gaussian Elimination
627
S-2 Rotation of Axes
630
APPENDIX A STUDY AIDS A-1
A-1 Introduction
A-1
A-2 Suggestions for Study
A-2
A-3 Solving Word Problems
A-3
APPENDIX B UNITS OF MEASUREMENT; THE METRIC SYSTEM A-4
B-1 Introduction
A-4
B-2 Reductions and Conversions
A-7
APPENDIX C THE GRAPHING CALCULATOR A-10
C-1 Introduction
A-10
C-2 The Graphing Calculator
A-10
C-3 Graphing Calculator Programs
A-14
Answers to Odd-Numbered Exercises B-1
Solutions to Practice Test Problems C-1
Index of Applications D-1
Index of Writing Exercises D-10
Index D-12


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