Electronics And Computer Math

, by Deem, Bill R.; Zannini, Tony

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ISBN: 9780131711372 | 0131711377
Cover: Paperback
Copyright: 7/13/2005

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Summary

Appropriate for courses in Electronics Math, Math for Electronics, and Algebra & Trigometry for Electronics. Practical, Proven, Trusted! The Eighth Edition continues the tradition of providing the most complete, thorough, and practical coverage of mathematics and its application in the world of electronics. This market leading text has been used in hundreds of classrooms by thousands of students who have benefited from the clear explanations and large practice sets that develop both computational and quantitative thinking skills.

SECTION I Review of Arithmetic Fundamentals

(108)

The Decimal Number System

(24)

Math in Action

(1)

Introduction

(1)

Decimal Number System

(1)

Decimal Fractions

(4)

Whole Numbers and Fractions

(1)

Rounding Whole Numbers

(1)

Rounding Nonwhole Numbers

(1)

Significant Digits

(2)

Addition and Subtraction of Signed Numbers

(1)

Multiplication and Division of Signed Numbers

(2)

Mathematical Expressions and Terms

(1)

Parentheses ( ) and Other Signs of Grouping

(9)

Chapter 1 at a Glance

(1)

End of Chapter Problems

(6)

Powers of Ten

(32)

Math in Action

(1)

Introduction

(1)

Converting Numbers to Powers of Ten Form

(1)

Converting from Powers of Ten Form to Numbers

(1)

Converting Decimal Fractions to Powers of Ten Form

(1)

Converting Powers of Ten to Decimal Fractions

(1)

Multiplication in Powers of Ten Form

(1)

Division in Powers of Ten Form

(2)

Combined Multiplication and Division in Powers of Ten Form

(2)

Converting between Regular Numbers and Powers of Ten Notation

(1)

Expressing Numbers Greater Than One in Scientific Notation

(1)

Expressing Numbers Less Than One in Scientific Notation

(2)

Addition and Subtraction

(1)

Estimating

(2)

Problems with Complex Denominators

(1)

Reciprocals

(3)

Raising a Power of Ten to a Power

(1)

Square and Cube Roots in Power of Ten

(1)

Squaring Numbers

(1)

Square Roots of Numbers

(11)

Chapter 2 at a Glance

(2)

End of Chapter Problems

(6)

Units and Prefixes

(20)

Math in Action

(1)

Introduction

(1)

Units

(3)

Prefixes

(2)

Converting Numbers with Prefixes to Basic Units

(1)

Changing Prefixes

(2)

Applications

(3)

Systems of Measurement

(9)

Chapter 3 at a Glance

(1)

End of Chapter Problems

(5)

Fractions, Decimals, and Percents

(31)

Math in Action

(1)

Introduction

(1)

Prime Numbers and Prime Factors

(2)

Reducing Fractions To Lowest Terms

(2)

Multiplication of Fractions

(1)

Division of Fractions

(1)

Addition and Subtraction of Fractions

(3)

Lowest Common Multiple

(2)

Adding and Subtracting Fractions with Unlike Denominators

(3)

Improper Fractions and Mixed Numbers

(2)

Multiplication and Division of Improper Fractions

(1)

Addition and Subtraction of Improper Fractions

(2)

Fraction to Decimal to Percentage Conversions

(12)

Chapter 4 at a Glance

(2)

End of Chapter Problems

101

(8)

SECTION 2 Algebra Fundamentals

109

(88)

Algebraic Terms: Roots and Powers

110

(14)

Math in Action

110

(1)

Introduction

110

(1)

Numbers, Expressions, and Terms

110

(2)

Exponents

112

(1)

Finding Values of Algebraic Expressions

113

(1)

Roots

114

(2)

Practical Applications---DC Circuits

116

(2)

Practical Applications---AC Circuits

118

(6)

Chapter 5 at a Glance

120

(1)

End of Chapter Problems

120

(4)

Fractions and Literal Numbers

124

(16)

Math in Action

124

(1)

Introduction

124

(1)

Prime Factors

124

(1)

Lowest Common Multiple

125

(2)

Multiplication of Monomials

127

(1)

Division of Monomials

128

(2)

Multiplication of Fractions

130

(1)

Division of Fractions

131

(1)

Adding and Subtracting Fractions with Common Denominators

132

(2)

Adding and Subtracting Fractions with Unlike Denominators

134

(6)

Chapter 6 at a Glance

136

(1)

End of Chapter Problems

136

(4)

Linear and Second-Degree Equations

140

(20)

Math in Action

140

(1)

Introduction

140

(1)

Linear Equations

141

(7)

Second-Degree Equations

148

(4)

Applications

152

(8)

Chapter 7 at a Glance

156

(1)

End of Chapter Problems

156

(4)

Factoring Algebraic Expressions

160

(20)

Math in Action

160

(1)

Introduction

160

(1)

Multiplication of Polynomials by Monomials---Whole Numbers

161

(2)

Multiplication of Polynomials by Monomials---Fractional Numbers

163

(1)

Multiplication of Binomials by Binomials

164

(2)

Division of Polynomials

166

(4)

Factoring Polynomials

170

(2)

Factors of Trinomials

172

(8)

Chapter 8 at a Glance

175

(1)

End of Chapter Problems

176

(4)

Fractional Equations

180

(17)

Math in Action

180

(1)

Introduction

180

(1)

General Equations

181

(4)

Some Real Equations

185

(2)

Applications

187

(2)

Quadratic Equations

189

(8)

Chapter 9 at a Glance

193

(1)

End of Chapter Problems

194

(3)

SECTION 3 Math for DC Electronics

197

(124)

DC Circuit Analysis: Kirchhoff's Laws

198

(22)

Math in Action

198

(1)

Introduction

198

(1)

Kirchhoff's Current Law

199

(7)

Kirchhoff's Voltage Law

206

(5)

Polarity

211

(9)

Chapter 10 at a Glance

215

(1)

End of Chapter Problems

216

(4)

DC Circuit Analysis: Ohm's Law

220

(24)

Math in Action

220

(1)

Introduction

220

(1)

Circuit Resistance in Series and Parallel Circuits

221

(3)

Resistance in Series--Parallel Circuits

224

(2)

Ohm's Law: Series Circuits

226

(4)

Ohm's Law: Parallel Circuits

230

(3)

Ohm's Law: Series--Parallel Circuits

233

(11)

Chapter 11 at a Glance

237

(1)

End of Chapter Problems

238

(6)

DC Circuit Analysis: Circuit Theorems

244

(26)

Math in Action

244

(1)

Introduction

244

(1)

Superposition Theorem

245

(6)

Thevenin's Theorem

251

(2)

Thevenin's Theorem and Complex Circuits

253

(7)

Norton's Theorem

260

(10)

Chapter 12 at a Glance

263

(2)

End of Chapter Problems

265

(5)

Graphing

270

(22)

Introduction

270

(2)

Plotting Points on a System of Rectangular Coordinates

272

(2)

Graphing Linear Equations

274

(3)

Slope of a Line

277

(1)

Slope-Intercept Form

278

(2)

Interpreting Graphs

280

(4)

Plotting Curves

284

(8)

Chapter 13 at a Glance

286

(1)

End of Chapter Problems

287

(5)

Simultaneous Linear Equations

292

(29)

Math in Action

292

(1)

Introduction

292

(1)

Graphical Solution

293

(1)

Solution by Addition or Subtraction

294

(2)

Solution by Substitution

296

(1)

Second-Order Determinants

297

(3)

Third-Order Determinants

300

(2)

Applications---Circuits with One Source

302

(6)

Applications---Circuits with Two Sources

308

(13)

Chapter 14 at a Glance

316

(1)

End of Chapter Problems

316

(5)

SECTION 4 Math for AC Electronics

321

(126)

Complex Numbers

322

(12)

Math in Action

322

(1)

Introduction

322

(1)

Imaginary Numbers

323

(3)

Complex Numbers

326

(2)

Addition and Subtraction of Complex Numbers

328

(1)

Multiplication and Division of Complex Numbers

328

(6)

Chapter 15 at a Glance

330

(1)

End of Chapter Problems

331

(3)

The Right Triangle

334

(24)

Math in Action

334

(1)

Introduction

334

(1)

Sides and Angles

335

(2)

Pythagorean Theorem

337

(3)

Trigonometric Functions

340

(3)

Trigonometric Tables

343

(3)

Inverse Trig Functions

346

(2)

Trigonometric Equations

348

(10)

Chapter 16 at a Glance

353

(1)

End of Chapter Problems

354

(4)

AC Fundamentals

358

(20)

Math in Action

358

(1)

Introduction

358

(1)

The Sine Wave

359

(6)

Angular Velocity

365

(1)

Instantaneous Values of Voltage and Current

366

(3)

RMS Values of Voltage and Current

369

(1)

Angle of Lead or Lag

370

(8)

Chapter 17 at a Glance

374

(1)

End of Chapter Problems

375

(3)

AC Circuit Analysis: Series Circuits

378

(30)

Math in Action

378

(1)

Introduction

378

(1)

Series RC Circuits---Finding Voltages and Phase Angles

379

(2)

Series RC Circuits---Resistance, Reactance, and Impedance

381

(4)

Series RL Circuits---Finding Voltages and Phase Angles

385

(2)

Series RL Circuits---Resistance, Reactance, and Impedance

387

(3)

Polar to Rectangular Conversion

390

(4)

Addition and Subtraction of Phasors

394

(1)

Equivalent Series Circuit

395

(2)

Series Resonance

397

(11)

Chapter 18 at a Glance

401

(1)

End of Chapter Problems

402

(6)

AC Circuit Analysis: Parallel Circuits

408

(24)

Math in Action

408

(1)

Introduction

408

(1)

RC Circuit Analysis---Circuit Currents

409

(2)

RC Circuit Analysis---Circuit Parameters

411

(2)

RL Circuit Analysis---Circuit Currents

413

(1)

RL Circuit Analysis---Circuit Parameters

414

(2)

Equivalent Circuits---Phasors

416

(2)

Equivalent Circuits---Parallel-Series Conversions

418

(3)

AC Networks---Transforms

421

(1)

AC Networks---Problem Solving

422

(10)

Chapter 19 at a Glance

426

(1)

End of Chapter Problems

427

(5)

Filters

432

(15)

Math in Action

432

(1)

Introduction

432

(1)

Low-Pass and High-Pass Filters

433

(2)

Thevenin's and Norton's Theorems

435

(3)

Band-Pass Filters

438

(9)

Chapter 20 at a Glance

442

(1)

End of Chapter Problems

443

(4)

SECTION 5 Logarithms in Electronics

447

(42)

Logarithms

448

(14)

Math in Action

448

(1)

Introduction

448

(1)

Common Logarithms

449

(1)

Finding the Logarithms of Numbers Between 1 and 10

450

(1)

Finding the Logarithms of Numbers Greater Than 10

451

(1)

Finding the Logarithms of Numbers Less Than 1

452

(1)

Multiplication of Numbers by Using Logarithms

453

(2)

Division of Numbers by Using Logarithms

455

(1)

Raising a Number to a Power by Using Logarithms

456

(1)

Natural Logarithms

457

(5)

Chapter 21 at a Glance

458

(1)

End of Chapter Problems

459

(3)

Logarithmic Equations

462

(10)

Math in Action

462

(1)

Introduction

462

(1)

Logarithmic and Exponential Forms

462

(2)

Logarithmic Equations: Common Logs

464

(1)

More Common Logarithmic Equations

465

(2)

Logarithmic Equations: Natural Logs

467

(1)

More Natural Logarithmic Equations

468

(4)

Chapter 22 at a Glance

469

(1)

End of Chapter Problems

469

(3)

Applications of Logarithms

472

(17)

Math in Action

472

(1)

Introduction

472

(1)

Gain Measurements

473

(5)

Frequency Response

478

(2)

Amplifier Gain and the Bode Plot

480

(3)

RC Circuits

483

(6)

Chapter 23 at a Glance

486

(1)

End of Chapter Problems

486

(3)

SECTION 6 Math for Digital Electronics

489

(64)

Computer Number Systems

490

(34)

Math in Action

490

(1)

Introduction

490

(1)

Binary Number System

490

(6)

Octal Number System

496

(2)

Hexadecimal Number System

498

(2)

Binary to Octal to Hexadecimal Conversions

500

(2)

Binary to Octal to Decimal to Hexadecimal Conversions

502

(2)

Decimal and Octal Addition

504

(2)

Adding Hexadecimal Numbers

506

(1)

Adding Binary Numbers

507

(2)

Decimal and Octal Subtraction

509

(2)

Subtracting Hexadecimal Numbers

511

(1)

Subtracting Binary Numbers

512

(1)

Complement Method of Subtraction

512

(4)

Sixteen's and Eight's Complement

516

(8)

Chapter 24 at a Glance

518

(1)

End of Chapter Problems

518

(6)

Boolean Algebra

524

(29)

Math in Action

524

(1)

Introduction

524

(1)

Logic Gates

525

(8)

Boolean Postulates and Theorems

533

(6)

De Morgan's Theorem and the Absorption Theorem

539

(6)

Application Problems

545

(8)

Chapter 25 at a Glance

547

(1)

End of Chapter Problems

548

(5)

SECTION 7 Introduction to Statistics in Electronics

553

(158)

Introduction to Statistics

554

(157)

Math in Action

554

(1)

Introduction

554

(2)

Frequency Distribution

556

(5)

Measures of Central Tendency

561

(4)

Standard Deviation

565

(3)

The Normal Curve

568

(8)

Chapter 26 at a Glance

570

(1)

End of Chapter Problems

571

(5)

Appendices

A. The Calculator

576

(7)

B. Trigonometric Functions of Degrees

583

(11)

C. Answers to Selected Problems

594

(113)

D. Sample Graph Paper

707

(4)

Index

711

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Electronics And Computer Math

Summary

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