Basic Electronics Math

Basic Electronics Math

by Clyde Herrick
Released March 1997
Publisher(s): Newnes
ISBN: 9780080499802

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Book description

Most students entering an electronics technician program have an understanding of mathematics. Basic Electronics Math provides is a practical application of these basics to electronic theory and circuits.

The first half of Basic Electronics Math provides a refresher of mathematical concepts. These chapters can be taught separately from or in combination with the rest of the book, as needed by the students. The second half of Basic Electronics Math covers applications to electronics.

  • Basic concepts of electronics math
  • Numerous problems and examples
  • Uses real-world applications

Table of contents

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

Product information

  • Title: Basic Electronics Math
  • Author(s): Clyde Herrick
  • Release date: March 1997
  • Publisher(s): Newnes
  • ISBN: 9780080499802