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Mathematics for Electricity and Electronics,9780766827011
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Mathematics for Electricity and Electronics

by
Edition:
2nd
ISBN13:

9780766827011

ISBN10:
0766827011
Format:
Hardcover
Pub. Date:
8/7/2001
Publisher(s):
Cengage Learning

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Summary

With more than twice as many exercises and examples, this all-new edition of Mathematics for Electricity and Electronics equips future electronics technicians/technologists with an understanding of essential algebra and trigonometry principles while it sharpens their ability to think quantitatively, predict results accurately, and troubleshoot effectively. Complete with the latest ideas and technologies, this edition features expanded coverage of basic arithmetic and algebra, earlier introduction of calculator examples, extensive discussion of DC and AC fundamentals, and an all-new chapter on statistics. Concrete examples that link the underlying theory to a practical electronics application are used to introduce new mathematical concepts, while "Highlights" summarize the important ideas and formulas to be presented in each chapter. Flowcharts to promote logical thought processes, plus helpful hints and references, are also included to aid readers in solving problems that require them to apply their knowledge of both math and electronics concepts.

Table of Contents

Preface xi
Basic Arithmetic
1(24)
Arithmetic Operations
1(6)
Multiplying and Dividing Fractions
7(5)
Adding Fractions
12(7)
Hand Calculator Operations
19(6)
Decimals and Percentages
25(22)
Decimals
25(5)
Percentages
30(6)
Precision and Accuracy
36(4)
Hand Calculator Operations
40(7)
Powers of Numbers
47(28)
Powers
47(5)
Powers of Ten
52(9)
Square Roots and Cube Roots
61(6)
Hand Calculator Operations
67(8)
Systems of Measurement
75(24)
Scientific and Engineering Notation
75(8)
Metric System (SI)
83(5)
The U.S. Customary System
88(3)
Hand Calculator Operations
91(8)
Basic Algebra
99(28)
Signed Numbers
99(7)
Algebraic Terms
106(5)
Rules for Exponents
111(16)
Computer Number Systems
127(26)
Binary Number System
127(5)
Binary Arithmetic
132(5)
Octal Number System
137(3)
Hexadecimal Number System
140(5)
Computer Codes
145(8)
Linear Equations
153(14)
Solution of First-Degree Equations
153(5)
Equation Solving Methods
158(9)
Basics of DC Circuits
167(16)
DC Circuits and Ohm's Law
167(6)
Electric Power
173(10)
Multiplying and Factoring Polynomials
183(20)
Multiplying Polynomials
183(3)
Monomial Factors
186(3)
Binomial Factors
189(4)
Second-Degree Equations
193(10)
Algebraic Fractions
203(18)
Reducing Fractions
203(3)
Multiplying and Dividing Fractions
206(3)
Addition of Fractions
209(4)
Equations with Fractions
213(8)
Formulas and Problem Solving
221(18)
Formulas and Literal Equations
221(7)
Problem Solving
228(11)
Series and Parallel DC Circuits
239(22)
Series Circuits
239(5)
Parallel Circuits
244(6)
Series-Parallel Circuits
250(11)
Graphs
261(20)
Rectangular Coordinate System
261(4)
Linear Function
265(6)
Nonlinear Graphs
271(10)
Linear Systems
281(24)
Graphical Solution of Two Linear Equations
281(4)
Algebraic Solution of Two Linear Equations
285(7)
Solution by Determinants
292(5)
Solution of Three Linear Equations
297(8)
Network Analysis
305(14)
Voltage Division
305(4)
Kirchhoff's Laws
309(3)
Solving Circuits
312(7)
Network Theorems
319(18)
Superposition Theorem
319(5)
Thevenin's Theorem
324(5)
Norton's Theorem
329(8)
Trigonometry of the Right Triangle
337(22)
Angles and Triangles
337(5)
Pythagorean Theorem
342(6)
Trigonometric Ratios
348(11)
Trigonometry of the Circle
359(16)
Trigonometric Functions
359(5)
Reference Angles and Special Angles
364(4)
Inverse Functions
368(7)
Alternating Current
375(20)
Alternating Current Waves
375(5)
Root Mean Square Values
380(3)
Frequency and Period
383(5)
Phase Angle
388(7)
Trigonometry of Vectors
395(16)
Vectors and Phasors
395(6)
Law of Sines
401(3)
Law of Cosines
404(7)
Complex Numbers and Phasors
411(18)
The j Operator
411(4)
Complex Numbers
415(4)
Complex Phasors
419(3)
Operations with Complex Phasors
422(7)
Series AC Circuits
429(22)
Inductive Reactance and RL Series Circuits
429(7)
Capacitive Reactance and RC Series Circuits
436(5)
RLC Series Circuits and Resonance
441(10)
Parallel AC Circuits
451(24)
RL Circuits
451(3)
RC Circuits
454(3)
Susceptance and Admittance
457(3)
RLC Circuits
460(4)
AC Networks
464(3)
Filters
467(8)
Exponents and Logarithms
475(16)
Fractional Exponents
475(4)
Exponential Functions
479(4)
Common and Natural Logarithms
483(8)
Applications of Logarithms
491(16)
Exponential Equations
491(3)
RC and RL Circuits
494(6)
Power and Gain
500(7)
Boolean Algebra
507(20)
Boolean Algebra
507(5)
Logic Circuits
512(7)
Karnaugh Maps
519(8)
Statistics
527(16)
Mean, Median, and Mode
527(5)
Standard Deviation
532(4)
Histograms and the Normal Curve
536(7)
Appendix A Calculator Functions 543(4)
Appendix B Notation and Formulas 547(8)
Appendix C Answers to Odd-Numbered Problems 555(36)
Index 591


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