Mathematics for Electricity and Electronics

by Kramer,Dr. Arthur

• ISBN13: 9780766827011
• ISBN10: 0766827011
• Edition: CD
• Format: Hardcover
• Copyright: 2001-08-07
• Publisher: Cengage Learning

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