Electronics and Computer Math

by Deem, Bill R.; Zannini, Tony

• ISBN13: 9780131711372
• ISBN10: 0131711377
• Edition: 8th
• Format: Paperback
• Copyright: 2005-07-13
• Publisher: Pearson

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.

Table of Contents

SECTION I Review of Arithmetic Fundamentals	1	(108)
The Decimal Number System	2	(24)
Math in Action	2	(1)
Introduction	2	(1)
Decimal Number System	3	(1)
Decimal Fractions	4	(4)
Whole Numbers and Fractions	8	(1)
Rounding Whole Numbers	9	(1)
Rounding Nonwhole Numbers	10	(1)
Significant Digits	11	(2)
Addition and Subtraction of Signed Numbers	13	(1)
Multiplication and Division of Signed Numbers	14	(2)
Mathematical Expressions and Terms	16	(1)
Parentheses ( ) and Other Signs of Grouping	17	(9)
Chapter 1 at a Glance	19	(1)
End of Chapter Problems	20	(6)
Powers of Ten	26	(32)
Math in Action	26	(1)
Introduction	26	(1)
Converting Numbers to Powers of Ten Form	27	(1)
Converting from Powers of Ten Form to Numbers	28	(1)
Converting Decimal Fractions to Powers of Ten Form	29	(1)
Converting Powers of Ten to Decimal Fractions	30	(1)
Multiplication in Powers of Ten Form	30	(1)
Division in Powers of Ten Form	31	(2)
Combined Multiplication and Division in Powers of Ten Form	33	(2)
Converting between Regular Numbers and Powers of Ten Notation	35	(1)
Expressing Numbers Greater Than One in Scientific Notation	36	(1)
Expressing Numbers Less Than One in Scientific Notation	37	(2)
Addition and Subtraction	39	(1)
Estimating	39	(2)
Problems with Complex Denominators	41	(1)
Reciprocals	42	(3)
Raising a Power of Ten to a Power	45	(1)
Square and Cube Roots in Power of Ten	46	(1)
Squaring Numbers	46	(1)
Square Roots of Numbers	47	(11)
Chapter 2 at a Glance	50	(2)
End of Chapter Problems	52	(6)
Units and Prefixes	58	(20)
Math in Action	58	(1)
Introduction	58	(1)
Units	59	(3)
Prefixes	62	(2)
Converting Numbers with Prefixes to Basic Units	64	(1)
Changing Prefixes	64	(2)
Applications	66	(3)
Systems of Measurement	69	(9)
Chapter 3 at a Glance	72	(1)
End of Chapter Problems	73	(5)
Fractions, Decimals, and Percents	78	(31)
Math in Action	78	(1)
Introduction	78	(1)
Prime Numbers and Prime Factors	78	(2)
Reducing Fractions To Lowest Terms	80	(2)
Multiplication of Fractions	82	(1)
Division of Fractions	83	(1)
Addition and Subtraction of Fractions	84	(3)
Lowest Common Multiple	87	(2)
Adding and Subtracting Fractions with Unlike Denominators	89	(3)
Improper Fractions and Mixed Numbers	92	(2)
Multiplication and Division of Improper Fractions	94	(1)
Addition and Subtraction of Improper Fractions	95	(2)
Fraction to Decimal to Percentage Conversions	97	(12)
Chapter 4 at a Glance	99	(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