** ** This book provides an introduction to mathematics applied to electronics, computers, electromechanics, and automation. Organized to be compatible with electric circuit books currently in use, its content balances a formal proof-orientation against the need for expediency in developing a broad, general mathematics ability. **KEY TOPICS** Chapter topics cover algebra fundamentals, fractions, graphs, linear equations, logarithmic and exponential functions, angles and triangles, vectors and phasors, alternating-current circuits, mathematical analysis, computer numbers systems, and mathematics of computer logic. ** ** For Mathematics majors.

*"synopsis" may belong to another edition of this title.*

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 studying technology related to electronics, computers, electromechanics, or automation.

Modern electronics curriculums 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 FIFTH EDITION Chapter 2, "Number Notation and Operation," is rewritten with an emphasis on precision rounding and number notation. Chapter 3, "Quantities and Units of Measurement," is updated to IEEE/ASTM SI 10-1997 standards to provide readers with the most current standards for applying the SI systems to electronics. Expanded coverage of metrology concepts in Chapter 12, "Applying Mathematics to Electrical Concepts." New Chapter 32, "Mathematics of Computer Logic," offers readers a comprehensive introduction to digital logic. New Glossary provides readers with a single place to locate all key terms in the text. 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 is available for this text. It contains multiple choice questions for each chapter as well as short answer and/or problem solving questions for Chapters 2-6. This website also contains Syllabus Manager, which instructors can use to easily create and revise syllabi. Syllabus Manager includes direct links into companion website and other online content. ACKNOWLEDGMENTS

In closing, we wish to thank you, the adopters of this and the previous editions of Mathematics Applied to Electronics, for your helpful comments and suggestions and for your diligence in bringing oversights and omissions to our attention. We acknowledge all of you who have communicated with us, including Roger Harlow, Archie Gillespie, and Anna Spear. We also thank the reviewers of this edition: Nasser Hedayat, Valencia Community College; Barbara Miller, University of Alaska; Saeed A. Shaikh, Miami-Dade Community College; and Stephen Trudeau, Denver Technical College.

Proposals for improvement, questions about problems, or comments on the content may be made by writing us in care of the publisher. SUPPLEMENTS It is our sincere intention to provide high-quality materials for your use. To that end, adopters of the text may request (from the publisher) a complimentary package of materials, including a detailed Instructor's Solutions Manual, Transparency Masters, an extensive Text Item File, and a Windows-based Prentice Hall Test Manager (electronic version of the Test Item File).

Again, thank you for your continued support.

James Harter

Surprise, Arizona

2000

Wallace Beitzel

Redondo Beach, California

2000

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.

- 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."

- 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.

*"About this title" may belong to another edition of this title.*

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