Basic Technical Mathematics, 12th edition
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Overview
Basic Technical Mathematics focuses on the essentials you need, with no added theory or side trips. It supports understanding of mathematical techniques and how they apply on the job in fields like computer design, electronics, solar energy, lasers, and the environment. A vast number of applications create a solid foundation in algebra and trigonometry and demonstrate their applicability in various technical fields. Plenty of solved examples, problem sets, and practice exercises help reinforce skills. Endofchapter review and test prep help you succeed on quizzes and exams. Additionally, the authors point out common errors, frequently misunderstood topics, and essential material.
Published by Pearson (January 8th 2022)  Copyright © 2023
ISBN13: 9780137529704
Subject: Technical, Trade, & Business Mathematics
Category: Technical Math
Table of contents
 Basic Algebraic Operations
 1.1 Numbers
 1.2 Fundamental Operations of Algebra
 1.3 Calculators and Approximate Numbers
 1.4 Exponents and Unit Conversions
 1.5 Scientific Notation
 1.6 Roots and Radicals
 1.7 Addition and Subtraction of Algebraic Expressions
 1.8 Multiplication of Algebraic Expressions
 1.9 Division of Algebraic Expressions
 1.10 Solving Equations
 1.11 Formulas and Literal Equations
 1.12 Applied Word Problems
 Key Formulas and Equations, Review Exercises, and Practice Test
 Geometry
 2.1 Lines and Angles
 2.2 Triangles
 2.3 Quadrilaterals
 2.4 Circles
 2.5 Measurement of Irregular Areas
 2.6 Solid Geometric Figures
 Key Formulas and Equations, Review Exercises, and Practice Test
 Functions and Graphs
 3.1 Introduction to Functions
 3.2 More about Functions
 3.3 Rectangular Coordinates
 3.4 The Graph of a Function
 3.5 Graphs on the Graphing Calculator
 3.6 Graphs of Functions Defined by Tables of Data
 Review Exercises and Practice Test
 The Trigonometric Functions
 4.1 Angles
 4.2 Defining the Trigonometric Functions
 4.3 Values of the Trigonometric Functions
 4.4 The Right Triangle
 4.5 Applications of Right Triangles
 Key Formulas and Equations, Review Exercises, and Practice Test
 Systems of Linear Equations;Determinants
 5.1 Linear Equations and Graphs of Linear Functions
 5.2 Systems of Equations and Graphical Solutions
 5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically
 5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants
 5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically
 5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants
 Key Formulas and Equations, Review Exercises, and Practice Test
 Factoring and Fractions
 6.1 Factoring: Greatest Common Factor and Difference of Squares
 6.2 Factoring Trinomials
 6.3 The Sum and Difference of Cubes
 6.4 Equivalent Fractions
 6.5 Multiplication and Division of Fractions
 6.6 Addition and Subtraction of Fractions
 6.7 Equations Involving Fractions
 Key Formulas and Equations, Review Exercises, and Practice Test
 Quadratic Equations
 7.1 Quadratic Equations; Solution by Factoring
 7.2 Completing the Square
 7.3 The Quadratic Formula
 7.4 The Graph of the Quadratic Function
 Key Formulas and Equations, Review Exercises, and Practice Test
 Trigonometric Functions of Any Angle
 8.1 Signs of the Trigonometric Functions
 8.2 Trigonometric Functions of Any Angle
 8.3 Radians
 8.4 Applications of Radian Measure
 Key Formulas and Equations, Review Exercises, and Practice Test
 Vectors and Oblique Triangles
 9.1 Introduction to Vectors
 9.2 Components of Vectors
 9.3 Vector Addition by Components
 9.4 Applications of Vectors
 9.5 Oblique Triangles, the Law of Sines
 9.6 The Law of Cosines
 Key Formulas and Equations, Review Exercises, and Practice Test
 Graphs of the Trigonometric Functions
 10.1 Graphs of y = a sin x and y = a cos x
 10.2 Graphs of y = a sin bx and y = a cos bx
 10.3 Graphs of y = a sin(bx + c) and y = a cos(bx + c)
 10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x
 10.5 Applications of the Trigonometric Graphs
 10.6 Composite Trigonometric Curves
 Key Formulas and Equations, Review Exercises, and Practice Test
 Exponents and Radicals
 11.1 Simplifying Expressions with Integer Exponents
 11.2 Fractional Exponents
 11.3 Simplest Radical Form
 11.4 Addition and Subtraction of Radicals
 11.5 Multiplication and Division of Radicals
 Key Formulas and Equations, Review Exercises, and Practice Test
 Complex Numbers
 12.1 Basic Definitions
 12.2 Basic Operations with Complex Numbers
 12.3 Graphical Representation of Complex Numbers
 12.4 Polar Form of a Complex Number
 12.5 Exponential Form of a Complex Number
 12.6 Products, Quotients, Powers, and Roots of Complex Numbers
 12.7 An Application to Alternatingcurrent (ac) Circuits
 Key Formulas and Equations, Review Exercises, and Practice Test
 Exponential and Logarithmic Functions
 13.1 Exponential Functions
 13.2 Logarithmic Functions
 13.3 Properties of Logarithms
 13.4 Logarithms to the Base 10
 13.5 Natural Logarithms
 13.6 Exponential and Logarithmic Equations
 13.7 Graphs on Logarithmic and Semilogarithmic Paper
 Key Formulas and Equations, Review Exercises, and Practice Test
 Additional Types of Equations and Systems of Equations
 14.1 Graphical Solution of Systems of Equations
 14.2 Algebraic Solution of Systems of Equations
 14.3 Equations in Quadratic Form
 14.4 Equations with Radicals
 Review Exercises and Practice Test
 Equations of Higher Degree
 15.1 The Remainder and Factor Theorems; Synthetic Division
 15.2 The Roots of an Equation
 15.3 Rational and Irrational Roots
 Key Formulas and Equations, Review Exercises, and Practice Test
 Matrices; Systems of Linear Equations
 16.1 Matrices: Definitions and Basic Operations
 16.2 Multiplication of Matrices
 16.3 Finding the Inverse of a Matrix
 16.4 Matrices and Linear Equations
 16.5 Gaussian Elimination
 16.6 Higherorder Determinants
 Key Formulas and Equations, Review Exercises, and Practice Test
 Inequalities
 17.1 Properties of Inequalities
 17.2 Solving Linear Inequalities
 17.3 Solving Nonlinear Inequalities
 17.4 Inequalities Involving Absolute Values
 17.5 Graphical Solution of Inequalities with Two Variables
 17.6 Linear Programming
 Key Formulas and Equations, Review Exercises, and Practice Test
 Variation
 18.1 Ratio and Proportion
 18.2 Variation
 Key Formulas and Equations, Review Exercises, and Practice Test
 Sequences and the Binomial Theorem
 19.1 Arithmetic Sequences
 19.2 Geometric Sequences
 19.3 Infinite Geometric Series
 19.4 The Binomial Theorem
 Key Formulas and Equations, Review Exercises, and Practice Test
 Additional Topics in Trigonometry
 20.1 Fundamental Trigonometric Identities
 20.2 The Sum and Difference Formulas
 20.3 DoubleAngle Formulas
 20.4 HalfAngle Formulas
 20.5 Solving Trigonometric Equations
 20.6 The Inverse Trigonometric Functions
 Key Formulas and Equations, Review Exercises, and Practice Test
 Plane Analytic Geometry
 21.1 Basic Definitions
 21.2 The Straight Line
 21.3 The Circle
 21.4 The Parabola
 21.5 The Ellipse
 21.6 The Hyperbola
 21.7 Translation of Axes
 21.8 The Seconddegree Equation
 21.9 Rotation of Axes
 21.10 Polar Coordinates
 21.11 Curves in Polar Coordinates
 Key Formulas and Equations, Review Exercises, and Practice Test
 Introduction to Statistics
 22.1 Graphical Displays of Data
 22.2 Measures of Central Tendency
 22.3 Standard Deviation
 22.4 Normal Distributions
 22.5 Statistical Process Control
 22.6 Linear Regression
 22.7 Nonlinear Regression
 Key Formulas and Equations, Review Exercises, and Practice Test
APPENDICES
 A. Solving Word Problems
 B. Units of Measurement
 E. Binary and Hexadecimal Numbers (online at bit.ly/3h1t3lt)
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