Introduction to Technical Mathematics / Edition 5

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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 readers relate to the mathematics in today's world. 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 and problems 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. To enhance your course, the fifth edition is now available with Addison-Wesley's MathXL® and MyMathLab™ technologies. Signed Numbers; Units of Measurement and Approximate Numbers; Introduction to Algebra; Simple Equations and Inequalities; Graphs; Introduction to Geometry; Simultaneous Linear Equations; Factoring; Algebraic Fractions; Exponents, Roots and Radicals; Quadratic Equations; Exponential and Logarithmic Functions; Right Triangle Trigonometry; Oblique Triangles and Vectors; Graphs of Trigonometric Functions; Complex Numbers; Introduction to Data Analysis. For all readers interested in Technical Mathematics.
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Product Details

  • ISBN-13: 9780321374172
  • Publisher: Pearson
  • Publication date: 2/19/2007
  • Edition description: Revised Edition
  • Edition number: 5
  • Pages: 768
  • Sales rank: 353,387
  • Product dimensions: 8.70 (w) x 10.10 (h) x 1.20 (d)

Meet the Author

Allyn Washington was born and educated in Connecticut, where he also began teaching at Trinity College, his alma mater. He taught at Boise Junior College (now Boise State University) before joining the newly forming Dutchess Community College, in Poughkeepsie, New York, where he began writing Basic Technical Mathematics.

At the time, technical mathematics did not have a text that gave students the math they needed to successfully achieve their goals in the technical mathematics program. Al decided to write a book that specifically aligned itself with the technical programs these students were taking. He wanted his text to be flexible, allowing instructors to teach in ways that would most benefit their students. Through his vision and determination, Allyn Washington created the Technical Mathematics series.

Mario F. Triola is a Professor Emeritus of Mathematics at Dutchess Community College, where he has taught statistics for over 30 years. Marty is the author of Elementary Statistics, 10th Edition, Elementary Statistics Using Excel, Elementary Statistics Using the TI-83 84 Plus Calculator, and he is a co-author of Biostatistics for the Biological and Health Sciences, Statistical Reasoning for Everyday Life, and Business Statistics. He has written several manuals and workbooks for technology supporting statistics education. Outside of the classroom, Marty has been a speaker at many conferences and colleges. His consulting work includes the design of casino slot machines and fishing rods, and he has worked with attorneys in determining probabilities in paternity lawsuits, identifying salary inequities based on gender, analyzing disputed election results, analyzing medical data, and analyzing medical school surveys. Marty has testified as an expert witness in New York State Supreme Court. The Text and Academic Authors Association has awarded Mario F. Triola a "Texty" for Excellence for his work on Elementary Statistics.

Ellena Reda is the Department Head of the Mathematics, Physical and Computer Sciences Department at Dutchess Community College in Poughkeepsie, NY. She began her career at DCC in 1988 as an adjunct instructor. Ellena received her Bachelor’s degree in Mathematics at Marist College, her Master’s degree in Mathematics/Education from the State University of New York at New Paltz, and an advanced graduate certificate in Educational Computing from the University at Stony Brook. She is the program coordinator at DCC for the Verizon Next Step Program, has served as the program’s mathematics curriculum leader, and has taught a variety of courses in this technical program.

Ellena is a member of the American Mathematical Association of Two Year Colleges. She was a writing team member of the NSF - AMATYC Math Works Project. She was the principal investigator for a National Science Foundation Computer Science, Engineering and Mathematics Scholarship (CSEMS) Grant and a team leader/teacher leader for the State Professional Development Collaborative, an NSF/ATE Grant. In spring 2005 she was named a Regional Teacher of the Year by the New York State Technology Education Association. Ellena has co-authored the Excel Manual that accompanies Elementary Statistics, 8th, 9th and 10th editions written by Mario Triola.

In her spare time Ellena enjoys golfing, running, and reading. In 2003 she ran her first marathon to raise money for the American Stroke Association. Since then she has run 2 marathons and 3 half-marathons. She has three grown children and lives locally with her husband.

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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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


6. Introduction to Geometry

6.1 Basic Geometric Figures

6.2 Perimeter

6.3 Area

6.4 Volume


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


Review Exercises


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


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