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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Amsterdam :
Academic Press is an imprint of Elsevier,
[2016]
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Ch. 1 Basic Concepts in Arithmetic
- Introduction
- 1.1.Basic arithmetic
- 1.1.1.Arithmetic operations
- 1.1.Exercises
- 1.2.Decimals
- 1.2.1.Rules to rounding off decimals
- 1.2.2.Addition of decimals
- 1.2.3.Subtraction of decimals
- 1.2.4.Multiplication of decimals
- 1.2.5.Division of decimals
- 1.2.Exercises
- 1.3.Percents (%)
- 1.3.Exercises
- ch. 1 Review exercises
- ch. 2 Introduction to Algebra
- Introduction
- 2.1.Introduction to algebra
- 2.1.1.Basic principles of addition
- 2.1.2.Basic principles of multiplication
- 2.1.3.Exponent and radicals
- 2.1.Exercises
- 2.2.Addition, subtraction, multiplication, and division of monomials
- 2.2.1.Rules for multiplication of monomials
- 2.2.2.Rules for division of monomials
- 2.2.3.Addition, subtraction, multiplication, and division of polynomials
- 2.2.Exercises
- 2.3.Ratio, proportion, and variation
- 2.3.1.Ratio
- 2.3.2.Proportion
- 2.3.3.Variation
- 2.3.Exercises
- ch. 2 Review exercises
- ch. 3 Equations, Inequalities, and Modeling
- Introduction
- 3.1.Equations
- 3.1.1.Constructing models to solve problems with one variable
- 3.1.2.Equations with two variables
- 3.1.3.Quadratic equations
- 3.1.4.Equations with rational, radical, and absolute value
- 3.1.Exercises
- 3.2.Inequality equations and intervals
- 3.2.1.Solving linear inequality
- 3.2.Exercises
- 3.3.Complex numbers
- 3.3.Exercises
- ch. 3 Review exercises
- ch. 4 Graphs and Functions
- Introduction
- 4.1.Graphs
- 4.1.1.Rectangular (Cartesian) coordinates
- 4.1.2.Distance between points and midpoint
- 4.1.3.Straight line equation
- 4.1.Exercises
- 4.2.Functions
- 4.2.1.Theorem: Vertical line test
- 4.2.2.Inverse of function f
- 1 (x)
- 4.2.Exercises
- ch. 4 Review exercises
- ch. 5 Measurement
- Introduction
- 5.1.Length measurements
- 5.1.1.The metric system
- 5.1.2.The U.S. customary system
- 5.7.Exercises
- 5.2.Mass and weight measurements
- 5.2.Exercises
- 5.3.Capacity measurements of liquid
- 5.3.Exercises
- 5.4.Time measurements
- 5.4.Exercises
- 5.5.Temperature (T) measurement
- 5.5.Exercises
- 5.6.Derived units
- 5.6.Exercises
- ch. 5 Review exercises
- ch. 6 Geometry
- Introduction
- 6.1.Basic concepts in geometry
- 6.1.Exercises
- 6.2.Angle measurement and triangles
- 6.2.Exercises
- 6.3.Perimeter and circumference in geometry
- 6.3.Exercises
- 6.4.Area in geometry
- 6.4.Exercises
- 6.5.Volume in geometry
- 6.5.Exercises
- ch. 6 Review exercises
- ch. 7 Trigonometry
- Introduction
- 7.1.Units of angles
- 7.1.Exercises
- 7.2.Types of angles and right triangle
- 7.2.1.Right triangle
- 7.2.Exercises
- 7.3.Trigonometric functions
- 7.3.1.Trigonometry reciprocal identities
- 7.3.2.Trigonometry complementary (cofunction identities) functions
- 7.3.3.Trigonometry supplementary functions
- 7.3.4.Inverse trigonometric functions
- 7.3.Exercises
- 7.4.Unit circle and oblique triangles
- 7.4.1.The law of sines
- 7.4.2.The law of cosines
- 7.4.Exercises
- ch. 7 Review exercises
- ch. 8 Matrices, Determinants, and Vectors
- Introduction
- 8.1.Matrices
- 8.1.1.Operations with matrices and their properties
- 8.1.Exercises
- 8.2.Determinants
- 8.2.Exercises
- 8.3.Vectors
- 8.3.1.Vector operations
- 8.3.2.Standard unit vectors
- 8.3.3.The dot product
- 8.3.4.Work
- 8.3.Exercises
- ch. 8 Review exercises.