by Allyn Washington, Mario Triola and Ellena Reda
List price: $238.00
Introduction to Technical Mathematics, Fifth Edition, has been thoroughly revised and modernized with up-to-date applications, an expanded art program, and new pedagogy to help today's students relate to the mathematics they are learning. The new edition continues to provide a thorough review of arithmetic and a solid foundation in algebra, geometry, and trigonometry. In addition to thousands of exercises, the examples in this text include a wealth of applications from various technological fields: electronics, mechanics, civil engineering, forestry, architecture, industrial engineering and design, physics, chemistry, and computer science.
1. Signed Numbers
1.1 Signed Numbers
1.2 Addition and Subtraction of Signed Numbers
1.3 Multiplication and Division of Signed Numbers
1.4 Powers and Roots
1.5 Order of Operation
1.6 Scientific Notation
1.7 Problem-Solving Strategies
Summary
Review Exercises
Test
2. Units of Measurement and Approximate Numbers
2.1 Working with Units of Measure
2.2 Units of Measurement: The Metric System
2.3 Reduction and Conversion of Units
2.4 Approximate Numbers and Significant Digits
Summary
Review Exercises
Test
3. Introduction to Algebra
3.1 Working with Formulas
3.2 Basic Algebraic Expressions
3.3 Addition and Subtraction of Algebraic Expressions
3.4 Multiplication of Algebraic Expressions
3.5 Division of Algebraic Expressions
Summary
Review Exercises
Test
4. Simple Equations and Inequalities
4.1 Solving a Simple Equation
4.2 Simple Formulas and Literal Equations
4.3 Simple Inequalities
4.4 Problem-Solving Strategies and Word Problems
4.5 Ratio, Proportion, and Variation
Summary
Review Exercises
Test
5. Graphs
5.1 Functions and Function Notation
5.2 The Rectangular Coordinate System
5.3 The Graph of a Function
5.4 Graphs of a Linear Function
5.5 Graphs of Other Functions
5.6 Graphical Solutions
5.7 Graphing Inequalities
Summary
Review Exercises
Test
6. Introduction to Geometry
6.1 Basic Geometric Figures
6.2 Perimeter
6.3 Area
6.4 Volume
Summary
Review Exercises
Test
7. Simultaneous Linear Equations
7.1 Graphical Solution of Two Simultaneous Equations
7.2 Substitution Method
7.3 Addition-Subtraction Method for Solving Simultaneous Equations
7.4 Determinants in Two Equations
7.5 Problem Solving Using Systems of Linear Equations
Summary
Review Exercises
Test
8. Factoring
8.1 The Distributive Property and Common Factors
8.2 Factoring Trinomials
8.3 Factoring General Trinomials
8.4 The Difference Between Two Squares
8.5 The Sum and Difference of Cubes
Summary
Review Exercises
Test
9. Algebraic Fractions
9.1 Equivalent Algebraic Fractions
9.2 Multiplication and Division of Algebraic Fractions
9.3 The Lowest Common Denominator
9.4 Addition and Subtraction of Algebraic Fractions
9.5 Solving Fractional Equations
Summary
Review Exercises
Test
10. Exponents, Roots, and Radicals
10.1 Integral Exponents
10.2 Fractional Exponents
10.3 Imaginary Roots
10.4 Simplifying Radicals
10.5 Operations with Radicals
10.6 Working with Radical Equations
Summary
Review Exercises
Test
11. Quadratic Equations
11.1 The Quadratic Equation
11.2 Solving Quadratic Equations by Factoring
11.3 Completing the Square
11.4 Solving Quadratic Equations Using the Quadratic Formula
11.5 Graphing the Quadratic Function
Summary
Review Exercises
Test
12. Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Logarithms
12.3 Properties of Logarithms
12.4 Natural Logarithms
12.5 Exponential and Logarithm Equations
12.6 Log-log and Semi-log Graphs
Summary
Review Exercises
Test
13. Geometry and Right Triangle Trigonometry
13.1 Angles and Their Measure
13.2 Other Geometric Figures
13.3 Right Triangles and the Pythagorean Theorem
13.4 Similar Triangles
13.5 The Trigonometric Ratios
13.6 Values of the Trigonometric Ratios
13.7 Right Triangle Applications
Summary
Review Exercises
Test
14. Oblique Triangles and Vectors
14.1 Trigonometric Functions of Any Angle
14.2 The Law of Sines
14.3 The Law of Cosines
14.4 Introduction to Vectors
14.5 Vector Components
14.6 Vector Addition
Summary
Review Exercises
Test
15. Graphs of Trigonometric Functions
15.1 Radian Measure
15.2 Applications of Radian Measure
15.3 Graphs of y = a sin x and y = a cos x
15.4 Graphs of y = a sin bx and y = a cos bx
15.5 Graphs of y = a sin (bx + c) and y = a cos (bx + c)
15.6 The Sine Function as a Function of Time
Summary
Review Exercises
Test
16. Complex Numbers
16.1 Introduction to Complex Numbers
16.2 Basic Operations with Complex Numbers
16.3 Graphical Representation of Complex Numbers
16.4 Polar Form of Complex Numbers
Summary
Review Exercises
Test
17. Introduction to Data Analysis
17.1 Creating Pie Charts and Bar Graphs
17.2 Frequency Tables and Histograms
17.3 Measures of Central Tendency
17.4 Measures of Spread and Variation
17.5 Probability
Summary
Review Exercises
Test
Appendix Review of Arithmetic
A.1 Addition and Subtraction of Whole Numbers
A.2 Multiplication and Division of Whole Numbers
A.3 Fractions
A.4 Equivalent Fractions
A.5 Addition and Subtraction of Fractions
A.6 Multiplication and Division of Fractions
A.7 Decimals
A.8 Percent
Answers to Selected Exercises
Index
Allyn Washington, Mario Triola and Ellena Reda
ISBN13: 978-0321374172Introduction to Technical Mathematics, Fifth Edition, has been thoroughly revised and modernized with up-to-date applications, an expanded art program, and new pedagogy to help today's students relate to the mathematics they are learning. The new edition continues to provide a thorough review of arithmetic and a solid foundation in algebra, geometry, and trigonometry. In addition to thousands of exercises, the examples in this text include a wealth of applications from various technological fields: electronics, mechanics, civil engineering, forestry, architecture, industrial engineering and design, physics, chemistry, and computer science.
Table of Contents
1. Signed Numbers
1.1 Signed Numbers
1.2 Addition and Subtraction of Signed Numbers
1.3 Multiplication and Division of Signed Numbers
1.4 Powers and Roots
1.5 Order of Operation
1.6 Scientific Notation
1.7 Problem-Solving Strategies
Summary
Review Exercises
Test
2. Units of Measurement and Approximate Numbers
2.1 Working with Units of Measure
2.2 Units of Measurement: The Metric System
2.3 Reduction and Conversion of Units
2.4 Approximate Numbers and Significant Digits
Summary
Review Exercises
Test
3. Introduction to Algebra
3.1 Working with Formulas
3.2 Basic Algebraic Expressions
3.3 Addition and Subtraction of Algebraic Expressions
3.4 Multiplication of Algebraic Expressions
3.5 Division of Algebraic Expressions
Summary
Review Exercises
Test
4. Simple Equations and Inequalities
4.1 Solving a Simple Equation
4.2 Simple Formulas and Literal Equations
4.3 Simple Inequalities
4.4 Problem-Solving Strategies and Word Problems
4.5 Ratio, Proportion, and Variation
Summary
Review Exercises
Test
5. Graphs
5.1 Functions and Function Notation
5.2 The Rectangular Coordinate System
5.3 The Graph of a Function
5.4 Graphs of a Linear Function
5.5 Graphs of Other Functions
5.6 Graphical Solutions
5.7 Graphing Inequalities
Summary
Review Exercises
Test
6. Introduction to Geometry
6.1 Basic Geometric Figures
6.2 Perimeter
6.3 Area
6.4 Volume
Summary
Review Exercises
Test
7. Simultaneous Linear Equations
7.1 Graphical Solution of Two Simultaneous Equations
7.2 Substitution Method
7.3 Addition-Subtraction Method for Solving Simultaneous Equations
7.4 Determinants in Two Equations
7.5 Problem Solving Using Systems of Linear Equations
Summary
Review Exercises
Test
8. Factoring
8.1 The Distributive Property and Common Factors
8.2 Factoring Trinomials
8.3 Factoring General Trinomials
8.4 The Difference Between Two Squares
8.5 The Sum and Difference of Cubes
Summary
Review Exercises
Test
9. Algebraic Fractions
9.1 Equivalent Algebraic Fractions
9.2 Multiplication and Division of Algebraic Fractions
9.3 The Lowest Common Denominator
9.4 Addition and Subtraction of Algebraic Fractions
9.5 Solving Fractional Equations
Summary
Review Exercises
Test
10. Exponents, Roots, and Radicals
10.1 Integral Exponents
10.2 Fractional Exponents
10.3 Imaginary Roots
10.4 Simplifying Radicals
10.5 Operations with Radicals
10.6 Working with Radical Equations
Summary
Review Exercises
Test
11. Quadratic Equations
11.1 The Quadratic Equation
11.2 Solving Quadratic Equations by Factoring
11.3 Completing the Square
11.4 Solving Quadratic Equations Using the Quadratic Formula
11.5 Graphing the Quadratic Function
Summary
Review Exercises
Test
12. Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Logarithms
12.3 Properties of Logarithms
12.4 Natural Logarithms
12.5 Exponential and Logarithm Equations
12.6 Log-log and Semi-log Graphs
Summary
Review Exercises
Test
13. Geometry and Right Triangle Trigonometry
13.1 Angles and Their Measure
13.2 Other Geometric Figures
13.3 Right Triangles and the Pythagorean Theorem
13.4 Similar Triangles
13.5 The Trigonometric Ratios
13.6 Values of the Trigonometric Ratios
13.7 Right Triangle Applications
Summary
Review Exercises
Test
14. Oblique Triangles and Vectors
14.1 Trigonometric Functions of Any Angle
14.2 The Law of Sines
14.3 The Law of Cosines
14.4 Introduction to Vectors
14.5 Vector Components
14.6 Vector Addition
Summary
Review Exercises
Test
15. Graphs of Trigonometric Functions
15.1 Radian Measure
15.2 Applications of Radian Measure
15.3 Graphs of y = a sin x and y = a cos x
15.4 Graphs of y = a sin bx and y = a cos bx
15.5 Graphs of y = a sin (bx + c) and y = a cos (bx + c)
15.6 The Sine Function as a Function of Time
Summary
Review Exercises
Test
16. Complex Numbers
16.1 Introduction to Complex Numbers
16.2 Basic Operations with Complex Numbers
16.3 Graphical Representation of Complex Numbers
16.4 Polar Form of Complex Numbers
Summary
Review Exercises
Test
17. Introduction to Data Analysis
17.1 Creating Pie Charts and Bar Graphs
17.2 Frequency Tables and Histograms
17.3 Measures of Central Tendency
17.4 Measures of Spread and Variation
17.5 Probability
Summary
Review Exercises
Test
Appendix Review of Arithmetic
A.1 Addition and Subtraction of Whole Numbers
A.2 Multiplication and Division of Whole Numbers
A.3 Fractions
A.4 Equivalent Fractions
A.5 Addition and Subtraction of Fractions
A.6 Multiplication and Division of Fractions
A.7 Decimals
A.8 Percent
Answers to Selected Exercises
Index