Basic Technical Mathematics
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Basic Technical Mathematics

Basic Technical Mathematics


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About the Book

For courses in technical and pre-engineering technical programs or other programs for which coverage of basic mathematics is required.   The best-seller in technical mathematics gets an “Oh, wow!” update The 11th Edition of Basic Technical Mathematics is a bold revision of this classic best-seller. The text now sports an engaging full-color design, and new co-author Rich Evans has introduced a wealth of relevant applications and improvements, many based on user feedback. The text is supported by an all-new online graphing calculator manual, accessible at point-of-use via short URLs. The MyLab™ Math course features hundreds of new algorithmic exercises, tutorial videos, and PowerPoint slides.  The text continues to feature a vast number of applications from technical and pre-engineering fields–including computer design, electronics, solar energy, lasers fiber optics, and the environment–and aims to develop students’ understanding of mathematical methods without simply providing a collection of formulas. The authors start the text by establishing a solid background in algebra and trigonometry, recognizing the importance of these topics for success in solving applied problems.   Also available with MyLab Math MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The MyLab Math course features hundreds of new algorithmic exercises, tutorial videos, and PowerPoint slides. Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for:   0134769546 / 9780134769547 Basic Technical Mathematics plus MyLab Math with Pearson eText -- Title-Specific Access Card Package, 11/e   Package consists of:    0134437705 / 9780134437705 Basic Technical Mathematics 0134764706 / 9780134764702 MyLab Math with Pearson eText -- Standalone Access Card -- for Basic Technical Mathematics

Table of Contents:
1 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 2 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 3 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   4 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   5 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 6 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 7 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 8 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 9 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 10 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 11 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 12 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 Alternating-current (ac) Circuits 13 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 14 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 15 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 16 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 Higher-order Determinants 17 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 18 Variation 18.1 Ratio and Proportion 18.2 Variation 19 Sequences and the Binomial Theorem 19.1 Arithmetic Sequences 19.2 Geometric Sequences 19.3 Infinite Geometric Series 19.4 The Binomial Theorem   20 Additional Topics in Trigonometry 20.1 Fundamental Trigonometric Identities 20.2 The Sum and Difference Formulas 20.3 Double-Angle Formulas 20.4 Half-Angle Formulas 20.5 Solving Trigonometric Equations 20.6 The Inverse Trigonometric Functions 21 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 Second-degree Equation 21.9 Rotation of Axes 21.10 Polar Coordinates 21.11 Curves in Polar Coordinates 22 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 Appendix A Solving Word Problems Appendix B Units of Measurement 

About the Author :
Allyn J. Washington received his Masters Degree from Brown University, Providence, Rhode Island. Allyn taught mathematics at Trinity College, Hartford, Connecticut, after graduating Phi Beta Kappa from Trinity. He was Professor of Mathematics at Dutchess Community College, Poughkeepsie, New York, where he served as the Mathematics Department Head as well as Dean of the College. Allyn is a founding member of the New York State Mathematics Association of Two Year Colleges and also a founding member of the American Mathematics Association of Two Year Colleges. He was awarded an Honorary Doctorate Degree by State University of New York. He is presently listed in Who's Who in America. The Allyn J. Washington Center for Science and Art Building is named in his honor at Dutchess Community College, Poughkeepsie, New York. Allyn has authored several textbooks in Technical Mathematics for over 50 years, including this edition of Basic Technical Mathematics.   Richard Evans received a Master’s Degree in mathematics from Binghamton University in Binghamton, New York. He is currently a professor of mathematics at Corning Community College, where he has taken an active role in the college’s governance system, including having chaired the mathematics department as well as the College Association. He is a long-standing member of the New York Mathematics Association of Two-Year Colleges and has attended and presented at many of these annual conferences. Rich has a strong background in applied mathematics, and has taken two sabbatical leaves involving real-world applications of math in business and industry. In his free time, Rich enjoys spending time with his family, playing guitar, and boating in the Finger Lakes.


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Product Details
  • ISBN-13: 9780134435824
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Language: English
  • Weight: 1 gr
  • ISBN-10: 0134435826
  • Publisher Date: 03 Feb 2017
  • Binding: Digital download
  • No of Pages: 768


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