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Tables of Contents for Mathematics for Grob Basic Electronics
Chapter/Section Title
Page #
Page Count
Preface
v
Decimal Numbers and Arithmetic
1
18
The Order of Places
1
1
The Decimal Point
2
1
Decimal Fractions
3
1
Addition
3
2
Subtraction
5
1
Multiplication
6
1
Division
7
2
Moving the Decimal Point
9
1
The Percent (%) Sign
10
1
Squares and Square Roots
11
1
Average Value
12
1
Root-Mean-Square (RMS) Value
13
1
Order of Operations and Signs for Grouping Numbers
13
1
Rounding Off a Number
14
1
When a Zero Can Be Dropped
15
1
Evaluation of Formulas
15
4
Negative Numbers
19
5
Positive and Negative Numbers
19
1
Addition of Negative Numbers
19
1
Subtraction of Negative Numbers
20
1
Multiplication and Division of Negative Numbers
21
3
Fractions
24
7
Multiplication of Fractions
24
1
Division of Fractions
24
1
The Simplest Form of a Fraction
25
1
Multiplying or Dividing a Fraction by a Whole Number
26
1
Addition and Subtraction of Fractions
26
1
Negative Fractions
27
1
Reciprocals and Decimal Fractions
28
1
Working with Decimal Fractions
29
2
Powers and Roots
31
8
Positive Exponents
31
1
Roots of Positive Numbers
31
1
Squares and Roots for the Digits
32
1
Powers of a Negative Number
32
1
Roots of a Negative Number
33
1
Powers and Roots of Fractions
33
1
Powers and Roots of Numbers with Exponents
34
1
Squares and Roots with Factors
35
1
Squares and Roots with Terms
35
1
Using a Calculator for Powers and Roots
36
3
Powers of 10
39
11
Positive Exponents of 10
39
1
Negative Exponents of 10
39
1
Converting to Powers of 10
40
2
Multiplication with Powers of 10
42
1
Division with Powers of 10
43
2
Reciprocals with Powers of 10
45
1
Addition and Subtraction with Powers of 10
45
1
Raising an Exponent of 10 to a High Power
46
1
Taking a Root with Powers of 10
47
1
Summary of Arithmetic Operations with Digits 1 and 0
48
1
Combined Operations
48
2
Logarithms
50
12
Examples of Logarithms
50
1
Characteristic and Mantissa of a Logarithm
51
1
Negative Logarithms
52
1
Antilogarithms
53
1
Logarithmic Graph Paper
53
4
Decibel (dB) Units
57
1
Natural Logarithms
58
4
The Metric System
62
9
Metric Prefixes
62
3
Length Units
65
1
Weight Units
65
2
Volume Units
67
1
Metric Units of Power, Work, and Energy
68
1
Temperature and Heat Units
68
3
Algebra
71
10
Literal Numbers
71
1
Adding or Subtracting Literal Numbers
71
1
Powers and Roots of Literal Numbers
72
1
Multiplying or Dividing Literal Numbers with Exponents
73
1
Fractions with Literal Numbers
73
1
Terms and Factors
74
1
Polynomials
75
2
Cancelling Literal Numbers in a Fraction
77
1
Binomials
77
1
Factoring
78
3
Methods of Solving Equations
81
6
Operations on Both Sides of an Equation
81
2
Transposing Terms
83
1
Solutions of Numerical Equations
83
1
Inverting Factors in Literal Equations
84
3
Simultaneous Linear Equations
87
5
Adding or Subtracting Equations
87
1
Method of Subtraction for One Unknown
88
1
Determinants for Two Equations
88
2
Determinants for Three Equations
90
2
Trigonometry
92
18
Types of Angles
92
1
The Right Triangle
93
4
Trigonometric Functions
97
1
Table of Trigonometric Functions
98
3
Angles of More Than 90°
101
1
Radian Measure of Angles
102
2
Special Values of Angles
104
2
The Inverse Trigonometric Functions
106
1
Using the Electronic Calculator for Trigonometric Functions
107
3
Computer Mathematics
110
23
Binary Numbers
110
1
Counting with Binary Numbers
110
2
Binary Addition
112
1
Subtraction by Adding the Complement
113
1
Converting Decimal Numbers to Binary Numbers
114
1
Binary-Coded Decimal (BCD) Numbers
114
1
Octal Number System
115
1
Hexadecimal System
115
3
The ASCII Code
118
1
Binary Logic
119
1
AND Gate
120
1
OR Gate
121
1
Truth Tables
121
1
Logic Symbols
121
2
The NOT or Inverter
123
1
Other Logic Gates
123
2
Logic Theorems
125
1
De Morgan's Theorem
126
1
Simplifying Boolean Expressions
126
7
Complex Numbers
133
9
Complex Number Forms
133
2
Converting Rectangular to Polar Forms
135
1
Converting Polar to Rectangular Forms
136
1
Addition and Subtraction in Rectangular Form
136
1
Addition and Subtraction in Polar Form
137
1
Multiplication and Division in Polar Form
138
1
Multiplication and Division in Rectangular Form
138
1
Operations on Unlike Forms
139
1
Compound Arithmetic Operations
140
2
Answers to Odd-Numbered Review Problems
142
2
Index
144