Mathematics Applied To Electronics / Edition 6

Hardcover (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $144.45
Usually ships in 1-2 business days
(Save 30%)
Other sellers (Hardcover)
  • All (11) from $144.45   
  • New (8) from $188.46   
  • Used (3) from $142.72   

Overview

Now in its sixth edition, Mathematics Applied to Electronics relates selected mathematical topics to the fields of electronics, electromechanics. automation, and computer technology. The text is intended for those who want a book in which each section of theoretical chapters is followed immediately by one or more applications chapters. Harter and Beitzel continue their tradition of excellence with this state-of-the-art text, designed to fully integrate the use of both the programmable and conventional scientific calculator. Written for students of technology, this straightforward book guides the reader through a graduated treatment of topics in pre-algebra, number notation and operation, quantities and units of measurement, algebra, analytical geometry, trigonometry, logarithms, exponential equations, phasor algebra, math analysis, computer number systems, and the mathematics of computer logic.

The text requires a knowledge only of mathematics fundamentals. It introduces new mathematical concepts in a direct manner, reinforced by hundreds of examples, scores of realistic pictorials and figures, dozens of calculator drills and review summaries, and problem sets. In all, this sixth edition provides more than 5,000 exercises and more than 600 examples.

New to the Sixth Edition:

  • Chapter 10, "Applying Fractions to Electrical Circuits," is rewritten with an emphasis on the product over the sum form of the two-branch equivalent resistance equation.
  • Chapter ?4, "Vectors and Phasors." is rewritten with an emphasis on the use of the calculator's rectangular to polar and polar to rectangular keys to carry out mathematical operations with complex numbers.
  • New Chapter Performance Objectives provide the learner with key outcomes fur each chapter.
  • New Web and Section Challenges unify the reader's comprehension of key mathematical concepts :panning several chapters.
  • New Companion Website with multiple choice and true/false review quizzes for each chapter.
  • New Appendix A reference table, "Development of the International System of Units."
Other Features:
  • Consistent reading level throughout.
  • Integrated use of the scientific calculator.
  • Authoritative use of SI units and conventional metric practices with electronics.
  • In-depth treatment of graphing functions, empirical data, and the interpretation of graphs.
  • Comprehensive coverage of computer number systems and computer logic commonly associated with automatic control, networking, and digital equipment.
  • Glossary selected technical terms.
  • Answers to all odd-numbered problems, including marry detailed graphical solutions and the answers to all calculator drills.
Read More Show Less

Editorial Reviews

Booknews
A textbook for courses or self-study within an electronics curriculum and designed to be used in conjunction with any of the popular texts on electric circuits. Assuming only a knowledge of mathematical fundamentals, proceeds from pre-algebra through number notation, the fundamentals of algebra, evaluating formulas, and linear equations. Explains scientific calculators at the beginning and requires them henceforth. Complementary educational support material is available from the publisher. No bibliography. Previously published between 1980 and 1988. Annotation c. by Book News, Inc., Portland, Or.
Read More Show Less

Product Details

  • ISBN-13: 9780130476005
  • Publisher: Prentice Hall
  • Publication date: 6/30/2003
  • Edition description: Subsequent
  • Edition number: 6
  • Pages: 864
  • Product dimensions: 7.50 (w) x 9.00 (h) x 1.80 (d)

Read an Excerpt

The purpose of this book is to provide an understanding of mathematics as it is applied to electronics. The text may be used in a formal classroom setting or in a self-paced or self-study program. Mathematics Applied to Electronics is for those who are studying technology related to electronics, computers, electromechanics, or automation.

Modern curriculums, based on electronics, need the support of a large and diverse amount of mathematics, so the content of this text is a trade-off between a formal proof orientation and the need for expediency in developing a broad, general mathematics ability. The sequence of chapters and topics within each chapter have been planned to be compatible with the electric circuits books currently in use. The scientific calculator is an integral part of the text, and its introduction early in the book enhances the learning process.

NEW TO THE SIXTH EDITION

  • Chapter 10, "Applying Fractions to Electrical Circuits," is rewritten with an emphasis on the product over the sum form of the two branch equivalent resistance equation.
  • Chapter 24, "Vectors and Phasors," is rewritten with an emphasis on the use of the calculator's rectangular to polar and polar to rectangular keys to carry out mathematical operations with complex numbers.
  • New Chapter Performance Objectives provide the learner with key outcomes for each chapter.
  • New Section Challenges unify the reader's comprehension of key mathematical concepts spanning several chapters.
  • New companion website with multiple choice and true/false review quizzes for each chapter.
  • New Appendix A entry, the Development of the International System of Units.
TEXT ORGANIZATION

The book begins with selected topics in prealgebra, number notation, and units of measurement, which are followed by several chapters dealing with the fundamentals of algebra, including the evaluation of formulas. This series of chapters culminates with a chapter devoted to the solution of linear equations, which is followed by a chapter that applies mathematics to electronic circuits.

The text is structured so that each section of theoretical chapters is followed by one or more application chapters. The application chapters reinforce materials previously presented and provide the learner with an opportunity to transfer mathematical skills to electronics concepts. Interspersed throughout the book are chapters and topics dealing with graphing and graphical analysis. These chapters are essential because so much valuable information is presented in graphical form in handbooks and data sheets.

Following chapters dealing with quadratic equations and exponents and radicals are chapters covering logarithmic, exponential, and trigonometric functions. These topics are followed by a series of chapters covering the mathematics of alternating current. The text concludes with chapters dealing with math analysis, computer number systems, and computer logic.

FEATURES

This book has been designed to guide the reader through the learning process by providing a means of coordinating the instruction in the classroom with outside assignments. The reader is helped by hundreds of detailed examples, figures, graphs, and problems. The utilization of the SI system of measurement throughout the text enables the user to make an easy transition to any technology book in use today.

A companion website (www.prenhall.com/harter) is available for this text. It contains true/false and multiple choice questions for each chapter. This website also contains Syllabus Manager, which instructors can use to easily create and revise syllabi. Syllabus Manager includes direct links into the companion website and other online content.

Read More Show Less

Table of Contents

1. Selected Prealgebra Topics.

Natural Numbers and Number Systems. Signed Numbers. Numerical Expressions and Equations. Order of Operations. Symbols of Grouping. Double Meaning of + and -. Absolute Value of a Signed Number. Combining Signed Numbers. Relational Operators. Multiplying with Signed Numbers. Dividing with Signed Numbers.

2. Number Notation and Operation.

Introduction to Exponents. Number Notation. Numeric Operations and Rounding. Operations with Approximate Numbers. Square Roots, Radicals and Reciprocals. Combined Operations. Powers of Ten and Approximations.

3. Quantities and Units of Measurement.

International System of Units. Selected Physical Quantities. Forming Decimal Multiples and Submultiples of the SI Units. Unit Analysis and Conversion between Systems. Applying Unit Analysis to Energy Cost. Units and Exponents.

4. Algebra Fundamentals I.

Variables, Subscripts, and Primes. Indicating Multiplication. General Numbers. Algebraic Expressions. Products, Factor, and Coefficients. Combining Like Terms. Polynomials. Adding Polynomials.

5. Algebra Fundamentals II.

Multiplying Monomials. Multiplying a Monomial and a Binomial. Multiplying a Monomial and a Polynomial. Subtracting Polynomials. Additional Work with Polynomials. Division of Monomials. Dividing a Polynomial by a Monomial. Factoring Polynomials with a Common Monomial Factor. Evaluating Algebraic Expressions.

6. Solving Equations.

Equations. Finding the Root of an Equation. Using Addition to Transform Equations. Using Multiplication to Transform Equations. Additional Techniques. Equations Containing Parentheses. Solving Formulas. Evaluating Formulas. Forming Equations. Solving Word Problems.

7. Applying Mathematics to Electrical Circuits.

Current, Voltage, and Resistance. Ohm's Law. Resistance in a Series Circuit. Applying Ohm's Law. Summary of the Series Circuit. Power.

8. Fractions.

Introductory Concepts. Forming Equivalent Fractions. Simplifying Fractions. Multiplying Fractions. Dividing Fractions. Complex Fractions. Adding and Subtracting Fractions. Changing a Mixed Expression to a Fraction. Additional Work with Complex Fractions.

9. Equations Containing Fractions.

Solving Equations Containing Fractions. Solving Fractional Equations. Literal Equations Containing Fractions. Evaluating Formulas.

10. Applying Fractions to Electrical Circuits.

Voltage Division in a Series Circuit. Conductance of the Parallel Circuit. Equivalent Resistance of the Parallel Circuit. Current Division in the Parallel Circuit. Solving Parallel Circuit Problems. Using Network Theorems to Form Equivalent Circuits.

11. Special Products, Factoring, and Equations.

Mentally Multiplying Two Binomials. Product of the Sum and Difference of Two Numbers. Square of a Binomial. Factoring the Difference of Two Squares. Factoring a Perfect Trinomial Square. Factoring By Grouping. Combining Several Types of Factoring. Literal Equations.

12. Applying Mathematics to Electrical Concepts.

Ratio, Percent, and Parts Per Million. Accounting for Empirical Error in Calculations. Efficiency. Proportion. Electrical Conductors.

13. Relations and Functions.

Meaning of a Function. Variables and Constants. Functional Notation. Functional Variation. Simplifying Formulas.

14. Graphs and Graphing Techniques.

Rectangular Coordinates. Graphs of Equations. Graphs of Linear Equations. Deriving a Linear Equation from a Graph. Graphing Empirical Data.

15. Applying Graphs to Electronic Concepts.

Graphic Estimation of Static Parameters. Graphic Estimation of Dynamic Parameters. Graphic Analysis of Linear Circuits. Graphic Analysis of Nonlinear Circuits.

16. Solving Systems of Linear Equations.

Addition or Subtraction Method. Substitution Method. Deriving Electrical Formulas. Determinants of the Second Order. Determinants of the Third Order.

17. Applying Systems of Linear Equations to Electronic Concepts.

Applying Kirchhoff's Voltage Law. Mesh Analysis. Solving Networks by Mesh Analysis.

18. Solving Quadratic Equations.

Introduction. Solving Incomplete Quadratic Equations. Solving Complete Quadratic Equations. Solving Quadratic Equations by the Quadratic Formula. Graphing the Quadratic Function. Applying the Techniques of Solving Quadratic Equations to Electronic Problems.

19. Exponents, Radicals, and Equations.

Laws of Exponents. Zero and Negative Integers as Exponents. Fractional Exponents. Laws of Radicals. Simplifying Radicals. Radical Equations.

20. Logarithmic and Exponential Functions.

Common Logarithms. Common Logarithms and Scientific Notation. Antilogarithms. Logarithms, Products, and Quotients. Logarithms, Powers, and Radicals. Natural Logarithms. Changing Base. Further Properties of Natural Logarithms. Logarithmic Equations. Exponential Equations. Semilog and Log-Log Plots. Nomographs.

21. Applications of Logarithmic and Exponential Equations to Electronic Concepts.

The Decibel. System Calculations. RC and RL Transient Behavior. Preferred Number Series.

22. Angles and Triangles.

Points, Lines, and Angles. Special Angles. Triangles. Right Triangles and the Pythagorean Theorem. Similar Triangles; Trigonometric Functions. Using the Trigonometric Functions to Solve Right Triangles. Inverse Trigonometric Functions. Solving Right Triangles When Two Sides Are Known.

23. Circular Functions.

Angles of Any Magnitude. Circular Functions. Graphs of the Circular Functions. Inverse Circular Functions. The Law of Sines and the Law of Cosines. Polar Coordinates. Converting between Rectangular and Polar Coordinates.

24. Vectors and Phasors.

Scalars and Vectors. Complex Plane. Real and Imaginary Numbers. Complex Numbers. Phasors. Transforming Complex Number Forms. Resolving Systems of Phasors and Vectors.

25. The Mathematics of Phasors.

Addition and Subtraction of Phasor Quantities. Multiplication of Phasor Quantities. Division of Phasor Quantities. Powers and Roots of Phasor Quantities.

26. Fundamentals of Alternating Current.

Alternating-Current Terminology. Resistance. Inductance and Inductive Reactance. Capacitance and Capacitive Reactance. Voltage Phasor for Series Circuits. Current Phasor for Parallel Circuits.

27. Alternating-Current Circuits.

Impedance of Series AC Circuits. Solving Series AC Circuits. Admittance Concepts. Admittance of Parallel AC Circuits.

28. Sinusoidal Alternating Current.

Time and Displacement. Power and Power Factor. Instantaneous Equations and the EI Phasor Diagram.

29. Additional Trigonometric and Exponential Functions.

Auxiliary Trigonometric Functions. Graphs of the Auxiliary Trigonometric Functions. Trigonometric Identities. Hyperbolic Functions. Graphing the Hyperbolic Functions. Hyperbolic Identities. Inverse Hyperbolic Functions.

30. Mathematical Analysis.

Domain and Range. Discontinuities. Functions of Large Numbers. Asymptotes.

31. Computer Number Systems.

Decimal Number Systems. Three Additional Number Systems. Converting Numbers to the Decimal System. Converting Decimal Numbers to Other Systems. Converting between Binary, Octal, and Hexadecimal. Binary Addition and Subtraction. Octal Addition and Subtraction. Hexadecimal Addition and Subtraction. Complements. Binary Arithmetic with Complements. Review.

32. Mathematics of Computer Logic.

Introductory Concepts. Inversion Operator (NOT). Conjunction Operator (AND). Disjunction Operator (OR). Applications of Logic Concepts. Introduction to Karnaugh Maps. DeMorgan's Theorem. Boolean Theorems. Applications.

Section Challenges.

Glossary of Selected Terms.

Appendix A: Reference Tables.

Appendix B: Answers to Selected Problems.

Appendix C: Solutions to Section Challenges.

Index.

Read More Show Less

Preface

The purpose of this book is to provide an understanding of mathematics as it is applied to electronics. The text may be used in a formal classroom setting or in a self-paced or self-study program. Mathematics Applied to Electronics is for those who are studying technology related to electronics, computers, electromechanics, or automation.

Modern curriculums, based on electronics, need the support of a large and diverse amount of mathematics, so the content of this text is a trade-off between a formal proof orientation and the need for expediency in developing a broad, general mathematics ability. The sequence of chapters and topics within each chapter have been planned to be compatible with the electric circuits books currently in use. The scientific calculator is an integral part of the text, and its introduction early in the book enhances the learning process.

NEW TO THE SIXTH EDITION

  • Chapter 10, "Applying Fractions to Electrical Circuits," is rewritten with an emphasis on the product over the sum form of the two branch equivalent resistance equation.
  • Chapter 24, "Vectors and Phasors," is rewritten with an emphasis on the use of the calculator's rectangular to polar and polar to rectangular keys to carry out mathematical operations with complex numbers.
  • New Chapter Performance Objectives provide the learner with key outcomes for each chapter.
  • New Section Challenges unify the reader's comprehension of key mathematical concepts spanning several chapters.
  • New companion website with multiple choice and true/false review quizzes for each chapter.
  • New Appendix A entry, the Development of the International System of Units.

TEXT ORGANIZATION

The book begins with selected topics in prealgebra, number notation, and units of measurement, which are followed by several chapters dealing with the fundamentals of algebra, including the evaluation of formulas. This series of chapters culminates with a chapter devoted to the solution of linear equations, which is followed by a chapter that applies mathematics to electronic circuits.

The text is structured so that each section of theoretical chapters is followed by one or more application chapters. The application chapters reinforce materials previously presented and provide the learner with an opportunity to transfer mathematical skills to electronics concepts. Interspersed throughout the book are chapters and topics dealing with graphing and graphical analysis. These chapters are essential because so much valuable information is presented in graphical form in handbooks and data sheets.

Following chapters dealing with quadratic equations and exponents and radicals are chapters covering logarithmic, exponential, and trigonometric functions. These topics are followed by a series of chapters covering the mathematics of alternating current. The text concludes with chapters dealing with math analysis, computer number systems, and computer logic.

FEATURES

This book has been designed to guide the reader through the learning process by providing a means of coordinating the instruction in the classroom with outside assignments. The reader is helped by hundreds of detailed examples, figures, graphs, and problems. The utilization of the SI system of measurement throughout the text enables the user to make an easy transition to any technology book in use today.

A companion website ( www.prenhall.com/harter ) is available for this text. It contains true/false and multiple choice questions for each chapter. This website also contains Syllabus Manager, which instructors can use to easily create and revise syllabi. Syllabus Manager includes direct links into the companion website and other online content.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)