Summary: 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.
Summary: 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. ...show less
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
5.1 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
8.1 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
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