Basic Elllctronics Math

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Front Cover Basic Electronics Math Copyright Page Table of Contents Chapter 1. Arithmetic Fractions 1.1 Introduction 1.2 Rounding Off Numbers 1.3 Common Fractions 1.4 Addition of Fractions 1.5 Subtraction of Fractions 1.6 Mixed Numbers 1.7 Mathematical Expressions and Terms 1.8 Signs of Grouping Summary Chapter 2. Operations with Powers and Roots of Numbers 2.1 Introduction 2.2 Extraction of Square Roots 2.3 Roots of Fractions 2.4 Powers and Roots 2.5 Higher Powers and Roots of Numbers Summary Chapter 3. Scientific Notation and Powers of Ten 3.1 Scientific Notation (Powers of Ten) 3.2 Signs of Exponents 3.3 Addition and Subtraction of Powers of Ten 3.4 Multiplying with Powers of Ten 3.5 Dividing by Powers of Ten 3.6 Multiplication and Division Combined 3.7 Laws of Exponents 3.8 Raising a Power of Ten to a Power 3.9 Taking the Root of a Power of Ten Summary Chapter 4. Units--Measurements and the Metric System 4.1 Introduction 4.2 Units for Electronics 4.3 Ranges of Electrical Units 4.4 Systems of Measurement 4.5 The English System of Measurement 4.6 The SI Metric System of Measurement 4.7 A Summary of the Most Commonly Used Metric Measurements 4.8 Relationships Between the Metric and the English Systems 4.9 The Micron and the Mil 4.10 Style and Usage of the International System of Units (SI) Summary Chapter 5. Computer Numbering Systems 5.1 Introduction 5.2 Decimal Numbering System (Base 10) 5.3 Binary Numbering System (Base 2) 5.4 Binary to Decimal Conversion 5.5 Decimal to Binary Conversion 5.6 Octal Numbering System (Base 8) 5.7 Converting Binary Numbers into Octal Numbers 5.8 Hexadecimal Numbering System (Base 16) 5.9 Addition of Binary Numbers 5.10 Addition of Octal Numbers 5.11 Additional of Hexadecimal Numbers 5.12 Subtraction of Binary Numbers 5.13 Two's Complement 5.14 Eight's and Sixteen's Complement 5.15 Subtracting Octal Numbers Summary Chapter 6. Introduction to Algebra 6.1 Introduction 6.2 Expressed and Implied Signs of Algebraic Operations 6.3 Numerical and Literal Algebraic Expressions, Equations, and Formulas 6.4 Terms in Algebraic Expressions, Equations, and Formulas 6.5 Similar Terms 6.6 Monomials, Binomials, Trinomials, and Polynomials 6.7 Subscript and Prime Notations 6.8 Substitution of Numerical Values and Evolution 6.9 Algebraic Addition 6.10 Algebraic Subtraction 6.11 Addition of Polynomials 6.12 Subtraction of Polynomials Summary Chapter 7. Algebraic Multiplication of Monomials and Polynomials 7.1 Introduction 7.2 Multiplication of Signed Numbers 7.3 Multiplication of Signed Numbers with Exponents 7.4 Multiplication of Monomials Containing Exponents 7.5 Multiplication of Polynomials by Monomials 7.6 Multiplication of a Polynomial by Another Polynomial Summary Chapter 8. Division of Monomials and Polynomials 8.1 Introduction 8.2 Subtraction of Exponents 8.3 Division of Monomials 8.4 Division of a Polynomial by a Monomial 8.5 Division of a Polynomial by Another Polynomial Summary Chapter 9. Equations and Formulas 9.1 Introduction 9.2 Axioms for the Solution of Equations 9.3 Rules for the Solution of Equations 9.4 Mathematical Statements of Circuit Problems Summary Chapter 10. Factors of Algebraic Expressions 10.1 Introduction 10.2 Powers and Roots of Monomials 10.3 Monomial Factors of Polynomials 10.4 Calculation of the Square of a Binomial 10.5 The Product of Two Binomials 10.6 Extraction of the Square Root of a Trinomial 10.7 The Difference of Two Algebraic Numbers 10.8 Prime Factors of Polynomials 10.9 Factors of Trinomials Summary Chapter 11. Operations on Algebraic Fractions 11.1 Degrees of Monomials and Polynomials 11.2 Highest Common Factors of Monomials and Polynomials 11.3 Lowest Common Multiples of Monomials and Polynomials 11.4 Numerators and Denominators of Algebraic Fractions 11.5 Conversion of Mixed Expressions to Fractions and Vice-Versa 11.6 Lowest Common Denominator of Algebraic Fractions 11.7 Addition, Subtraction, Multiplication, and Division 11.8 Ratios and Quotients 11.9 Properties of Proportions Summary Chapter 12. Fractional Equations 12.1 Introduction 12.2 Series-Parallel Resistive Networks Summary Chapter 13. Network Theorems 13.1 Introduction 13.2 Thevenin's Theorem 13.3 Voltage-Divider Rule and Thevenin's Theorem 13.4 Norton's Theorem Summary Chapter 14. Simultaneous Equations and Graphical Solutions 14.1 Introduction 14.2 Rectangular or Cartesian Coordinates 14.3 Graphical Solutions of Equations 14.4 Algebraic Solution of Simultaneous Equations 14.5 Three Simultaneous Equations in Three Unknowns 14.6 Basic Determinants Summary Chapter 15. Complex Algebra 15.1 Introduction 15.2 Geometrical Representation of Imaginary Numbers 15.3 Pure Imaginary Numbers 15.4 Complex Numbers and Operations Summary Chapter 16. Logarithms 16.1 Introduction 16.2 Common Logarithms 16.3 Antilogarithms 16.4 Multiplication and Division by Logarithms 16.5 Evolution of Numbers by Logarithms 16.6 Applications of Common Logarithms 16.7 Decibel Reference Levels 16.8 Frequency Response and Decibel Gain 16.9 Filter Concepts and the Bode Plot 16.10 Band-Pass Filter Circuits Summary Chapter 17. Natural Logarithms and Exponential Functions 17.1 Introduction 17.2 Natural Logarithms 17.3 Inductance and Exponential Formulas Summary Chapter 18. Fundamentals of Trigonometry 18.1 Angular Notation 18.2 Trigonometric Functions 18.3 Trigonometric Functions of 30°, 45°, and 60° 18.4 General Angles Summary Chapter 19. Vector Fundamentals 19.1 Introduction 19.2 Periodic Functions 19.3 Vector Notations 19.4 Applications of Vectors Summary Chapter 20. Principles of Alternating Currents 20.1 Introduction 20.2 Voltage Relations in a Sine Wave 20.3 Capacitors in A-C Circuits 20.4 Power Relations in Capacitor Circuits 20.5 Capacitors Connected in Series 20.6 Resistance and Capacitance Connected in Series 20.7 Principles of Inductive Reactance 20.8 Resistance and Inductance Connected in Series 20.9 Admittance and Susceptance 20.10 Analysis of Parallel A-C Circuits 20.11 Resistance and Capacitance Connected in Parallel 20.12 Resistance and Inductance Connected in Parallel 20.13 The j Operator Notation 20.14 Analysis of Series-Parallel LCR Circuits 20.15 Analysis of Series-Parallel Circuits 20.16 Analysis of Series-Parallel LCR Circuits Summary Chapter 21. Boolean Algebra 21.1 Introduction 21.2 Boolean Addition and Multiplication 21.3 Logic Expressions and Symbology 21.4 Rules and Laws of Boolean Algebra 21.5 Theorems for Boolean Algebra 21.6 Demorgan's Theorems 21.7 KARNAUGH Maps 21.8 Entering Boolean Equations in a KARNAUGH Map 21.9 Simplification of Boolean Equations Summary Answers for Basic Electronics Math Index