Fundamentals of technical mathematics

Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions. The boo...

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Detalles Bibliográficos
Otros Autores:	Musa, Sarhan M., author (author)
Formato:	Libro electrónico
Idioma:	Inglés
Publicado:	Amsterdam, [Netherlands] : Academic Press 2016.
Edición:	1st edition
Materias:	Mathematics.
Ver en Biblioteca Universitat Ramon Llull:	https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009629586106719

Tabla de Contenidos:

Front Cover
Fundamentals of Technical Mathematics
Copyright
Dedication
Contents
Preface
Acknowledgments
1 - Basic Concepts in Arithmetic
INTRODUCTION
1.1 BASIC ARITHMETIC
1.1.1 Arithmetic operations
1.1.1.1 Addition (+)
Example 1
Solution
1.1.1.2 Subtraction (−)
Example 2
Solution
1.1.1.3 Multiplication (×)
Example 3
Solution
Example 4
1.1.1.4 Division (÷)
Example 5
Solution
Example 6
1.1.1.5 Fraction (-, /)
Example 7
Solution
Example 8
Solution
Example 9
Solution
Example 10
Solution
1.1.1.6 Adding or subtracting of fractions
Example 11
Solution
Example 12
Solution
1.1.1.7 Multiplying fractions
Example 13
Solution
Example 14
Solution
1.1.1.8 Dividing fractions
Example 15
Solution
Example 16
Solution
1.1 EXERCISES
1.2 DECIMALS
Example 1
Solution
Example 2
Solution
1.2.1 Rules to rounding off decimals
Example 3
Solution
Example 4
1.2.2 Addition of decimals
Example 5
Solution
1.2.3 Subtraction of decimals
Example 6
Solution
1.2.4 Multiplication of decimals
Example 7
Solution
1.2.5 Division of decimals
Example 8
Solution
1.2 EXERCISES
1.3 PERCENTS (%)
Example 9
Solution
Example 10
Solution
Example 11
Example 12
Solution
Example 13
Solution
Example 14
Solution
Example 15
Solution
1.3 EXERCISES
CHAPTER 1 REVIEW EXERCISES
2 - Introduction to Algebra
INTRODUCTION
2.1 INTRODUCTION TO ALGEBRA
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
2.1.1 Basic principles of addition
Example 1
2.1.2 Basic principles of multiplication
Example 1
Example 2
Solution
Example 3
Solution
Example 4
2.1.3 Exponent and radicals.
Example 1
Solution
Example 2
2.1 EXERCISES
2.2 ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION OF MONOMIALS
Example 1
Example 2
Example 3
2.2.1 Rules for multiplication of monomials
Example 1
2.2.2 Rules for division of monomials
Example 1
Solution
2.2.3 Addition, subtraction, multiplication, and division of polynomials
Example 1
Example 2
Solution
Example 3
Solution
Example 4
Solution
2.2 EXERCISES
2.3 RATIO, PROPORTION, AND VARIATION
2.3.1 Ratio
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
2.3.2 Proportion
Example 1
Solution
Example 2
Solution
2.3.3 Variation
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
2.3 EXERCISES
CHAPTER 2 REVIEW EXERCISES
3 - Equations, Inequalities, and Modeling
INTRODUCTION
3.1 EQUATIONS
Example 1
Example 2
Solution
3.1.1 Constructing models to solve problems with one variable
Example 1
Solution
Example 2
Solution
3.1.2 Equations with two variables
Example 1
Solution
3.1.3 Quadratic equations
Example 1
Solution
3.1.4 Equations with rational, radical, and absolute value
3.1.4.1 Rational equation
Example 1
Solution
3.1.4.2 Radical equation
Example 1
Solution
3.1.4.3 Absolute value equation
Example 1
Solution
3.1 EXERCISES
3.2 INEQUALITY EQUATIONS AND INTERVALS
Example 1
Example 2
Solution
Example 3
Solution
Example 4
3.2.1 Solving linear inequality
Example 1
Solution
Example 2
Solution
Example 3
Solution
3.2.1.1 Inequality involving absolute value (||)
Example 1
Solution
Example 2
Solution
3.2 EXERCISES
3.3 COMPLEX NUMBERS
Example 1
Solution.
3.3 EXERCISES
CHAPTER 3 REVIEW EXERCISES
4 - Graphs and Functions
INTRODUCTION
4.1 GRAPHS
4.1.1 Rectangular (Cartesian) coordinates
Example 1
Solution
Example 2
Solution
4.1.2 Distance between points and midpoint
Example 1
Solution
Example 2
Solution
4.1.3 Straight line equation
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
Example 6
Solution
Example 7
Solution
Example 8
Solution
Example 9
Solution
4.1 EXERCISES
4.2 FUNCTIONS
4.2.1 Theorem: Vertical line test
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
4.2.2 Inverse of function f−1(x)
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
Example 6
Solution
4.2 EXERCISES
CHAPTER 4 REVIEW EXERCISES
5 - Measurement
INTRODUCTION
5.1 LENGTH MEASUREMENTS
5.1.1 The metric system
Example 1
Solution
5.1.2 The U.S. customary system
Example 1
Solution
Example 2
Solution
Example 3
Solution
5.1 EXERCISES
5.2 MASS AND WEIGHT MEASUREMENTS
Example 1
Solution
5.2 EXERCISES
5.3 CAPACITY MEASUREMENTS OF LIQUID
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
5.3 EXERCISES
5.4 TIME MEASUREMENTS
Example 1
Solution
5.4 EXERCISES
5.5 TEMPERATURE (T) MEASUREMENT
Example 1
Solution
Example 2
Solution
5.5 EXERCISES
5.6 DERIVED UNITS
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
5.6 EXERCISES
CHAPTER 5 REVIEW EXERCISES
Chapter 6 - Geometry
INTRODUCTION.
6.1 BASIC CONCEPTS IN GEOMETRY
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Solution
Example 11
Solution
6.1 EXERCISES
6.2 ANGLE MEASUREMENT AND TRIANGLES
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
Example 6
Solution
6.2 EXERCISES
6.3 PERIMETER AND CIRCUMFERENCE IN GEOMETRY
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
6.3 EXERCISES
6.4 AREA IN GEOMETRY
Example 1
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
Example 6
Solution
Example 7
Solution
Example 8
Solution
Example 9
Solution
6.4 EXERCISES
6.5 VOLUME IN GEOMETRY
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
Example 6
Solution
6.5 EXERCISES
CHAPTER 6 REVIEW EXERCISES
7 - Trigonometry
INTRODUCTION
7.1 UNITS OF ANGLES
Example 1
Solution
7.1 EXERCISES
7.2 TYPES OF ANGLES AND RIGHT TRIANGLE
Example 1
Solution
Example 2
Solution
7.2.1 Right triangle
Example 1
Solution
Example 2
Solution
7.2 EXERCISES
7.3 TRIGONOMETRIC FUNCTIONS
Example 1
Solution
Example 2
Solution
Example 3
Solution
7.3.1 Trigonometry reciprocal identities
Example 1
Solution
7.3.2 Trigonometry complementary (cofunction identities) functions
Example 1
Solution
7.3.3 Trigonometry supplementary functions
Example 1
Solution
7.3.4 Inverse trigonometric functions
Example 1
Solution
Example 2
Solution
7.3 EXERCISES
7.4 UNIT CIRCLE AND OBLIQUE TRIANGLES
Example 1.
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
7.4.1 The law of sines
Example 1
Solution
7.4.2 The law of cosines
Example 1
Solution
7.4 EXERCISES
CHAPTER 7 REVIEW EXERCISES
8 - Matrices, Determinants, and Vectors
INTRODUCTION
8.1 MATRICES
Example 1
Solution
Example 2
Solution
Outline placeholder
Outline placeholder
8.1.1 Operations with matrices and their properties
8.1.1.1 Equality of matrices
Example 1
Solution
8.1.1.2 Addition of matrices
8.1.1.3 Subtraction of matrices
Example 1
Solution
8.1.1.4 Additive identity matrix (zero matrix)
Example 1
8.1.1.5 Additive inverse (negative) matrix
Example 1
8.1.1.6 Commutative property of matrix addition
Example 1
8.1.1.7 Associative property of matrix addition
Example 1
8.1.1.8 Product of constant (scalar) and a matrix
Example 1
8.1.1.9 Product of two matrices
Example 1
8.1.1.10 Multiplicative identity matrix
Example 1
8.1.1.11 Multiplicative inverse matrix
Example 1
Solution
Method 1
Method 2
8.1.1.12 Transpose of a matrix
Example 1
8.1.1.13 Symmetric matrix
Example 1
8.1 EXERCISES
8.2 DETERMINANTS
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
8.2 EXERCISES
8.3 VECTORS
Example 1
Solution
8.3.1 Vector operations
Example 1
Solution
Example 2
Solution
8.3.2 Standard unit vectors
Example 1
Solution
Example 2
Solution
Example 3
Solution
8.3.3 The dot product
Example 1
Solution
Example 2
Solution
Example 3
Solution
Example 4
Solution
Example 5
Solution
8.3.4 Work
Example 1
Solution
Example 2
Solution
8.3 EXERCISES
CHAPTER 8 REVIEW EXERCISES.
A - MAPLE.

Fundamentals of technical mathematics

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