Fundamentals of Engineering Mathematics
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Description
Book Introduction
If you have a solid foundation in mathematics, engineering will be a breeze!
Have you ever taken a close look at engineering from the ground up? Engineering begins with basic mathematical operations.
There is no need to be intimidated by the word 'mathematics'.
If you follow the simple and concise explanations in this book, math will no longer seem difficult.
Mathematics is used in a variety of ways in our daily lives.
This book presents 20 real-world examples of mathematics topics directly applied, and explains in an easy-to-understand way how mathematics connects with various engineering fields.
Now, let's solidify our foundation in mathematics with this book and apply it to engineering and real life, starting with easy concepts.
Engineering mathematics, which once seemed difficult, will now feel much more familiar.
Have you ever taken a close look at engineering from the ground up? Engineering begins with basic mathematical operations.
There is no need to be intimidated by the word 'mathematics'.
If you follow the simple and concise explanations in this book, math will no longer seem difficult.
Mathematics is used in a variety of ways in our daily lives.
This book presents 20 real-world examples of mathematics topics directly applied, and explains in an easy-to-understand way how mathematics connects with various engineering fields.
Now, let's solidify our foundation in mathematics with this book and apply it to engineering and real life, starting with easy concepts.
Engineering mathematics, which once seemed difficult, will now feel much more familiar.
- You can preview some of the book's contents.
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index
Before we begin: How to use an engineering calculator
PART 01 Basics of Operations
CHAPTER 01 Sets and Numbers
1.1 Sets / 1.2 Integer Calculus / 1.3 Rational Number Calculus / 1.4 Engineering Problems
Practice problems
CHAPTER 02 Divisors and Multiples
2.1 Divisors and Multiples / 2.2 Finding Divisors and Multiples / 2.3 Greatest Common Divisor and Least Common Multiple / 2.4 Engineering Problems
Practice problems
CHAPTER 03 Decimals and Percentages
3.1 Decimals and Fractions / 3.2 Percentages / 3.3 Applications of Percentages / 3.4 Engineering Problems
Practice problems
CHAPTER 04 Ratios and Proportions
4.1 Ratio / 4.2 Proportionality / 4.3 Fuel Efficiency / 4.4 Applications of Ratio / 4.5 Engineering Problems
Practice problems
CHAPTER 05 Powers and Square Roots
5.1 Exponentiation / 5.2 Calculating Exponentiation / 5.3 Square Roots / 5.4 Rationalizing Denominators / 5.5 Engineering Problems
Practice problems
CHAPTER 06 Basic Units and Unit Conversion
6.1 Base Units / 6.2 Unit Conversion / 6.3 Scientific and Engineering Notation / 6.4 Engineering Problems
Practice problems
CHAPTER 07 Errors and Significant Figures
7.1 Measurements and Errors / 7.2 Significant Figures / 7.3 Arithmetic Operations between Significant Figures / 7.4 Engineering Problems
Practice problems
CHAPTER 08 Complex Numbers
8.1 Imaginary and Complex Numbers / 8.2 Operations on Complex Numbers / 8.3 Conjugate Complex Numbers / 8.4 Engineering Problems
Practice problems
CHAPTER 09 Vectors
9.1 Scalars and Vectors / 9.2 Unit Vectors / 9.3 Vector Product / 9.4 Engineering Problems
Practice problems
CHAPTER 10 MATRIX
10.1 Matrices / 10.2 Matrix Product / 10.3 Determinants / 10.4 Inverse Matrices / 10.5 Engineering Problems
Practice problems
PART 02 The Basics of Mathematics
CHAPTER 11 Understanding Functions
11.1 Definition of a function / 11.2 Injective and surjective functions / 11.3 Composite functions / 11.4 Engineering problems
Practice problems
CHAPTER 12 POLYNOMIALS AND POLYNOMIAL FUNCTIONS
12.1 Monomials and Polynomials / 12.2 Arithmetic Operations on Polynomials / 12.3 Polynomial Functions / 12.4 Engineering Problems
Practice problems
CHAPTER 13 Equations
13.1 Identities / 13.2 Linear and Fractional Equations / 13.3 Quadratic Equations / 13.4 Systems of Linear Equations / 13.5 Engineering Problems
Practice problems
CHAPTER 14 Inequalities
14.1 Operations on Inequalities / 14.2 Linear Inequalities and Systems of Linear Inequalities / 14.3 Quadratic Inequalities / 14.4 Engineering Problems
Practice problems
CHAPTER 15 Rational and Irrational Functions
15.1 Rational Functions / 15.2 Rational Equations and Rational Inequalities / 15.3 Irrational Functions / 15.4 Irrational Equations and Irrational Inequalities / 15.5 Engineering Problems
Practice problems
CHAPTER 16 Exponential and Logarithmic Functions
16.1 Nth power and nth root / 16.2 Exponential function / 16.3 Logarithmic function / 16.4 Relationship between exponential and logarithmic functions / 16.5 Engineering problems
Practice problems
CHAPTER 17 Trigonometric Functions
17.1 The Hodo Method / 17.2 Definition of Trigonometric Functions / 17.3 Periods, Minimum Values, and Maximum Values of Trigonometric Functions / 17.4 Applications of Trigonometric Functions / 17.5 Engineering Problems
Practice problems
CHAPTER 18 Limits and Continuity of Functions
18.1 Limits of Functions / 18.2 Existence of Limits / 18.3 Calculation of Limits / 18.4 Continuous Functions / 18.5 Engineering Problems
Practice problems
CHAPTER 19 Differentiation
19.1 Derivatives / 19.2 Basic Properties of Differentiation / 19.3 Differentiation of Transcendental Functions / 19.4 Differentiation of Composite Functions / 19.5 Engineering Problems
Practice problems
CHAPTER 20 INTEGRATION
20.1 Indefinite Integrals / 20.2 Substitution Integrals / 20.3 Integrals of Trigonometric Functions / 20.4 Definite Integrals / 20.5 Engineering Problems
Practice problems
Search
PART 01 Basics of Operations
CHAPTER 01 Sets and Numbers
1.1 Sets / 1.2 Integer Calculus / 1.3 Rational Number Calculus / 1.4 Engineering Problems
Practice problems
CHAPTER 02 Divisors and Multiples
2.1 Divisors and Multiples / 2.2 Finding Divisors and Multiples / 2.3 Greatest Common Divisor and Least Common Multiple / 2.4 Engineering Problems
Practice problems
CHAPTER 03 Decimals and Percentages
3.1 Decimals and Fractions / 3.2 Percentages / 3.3 Applications of Percentages / 3.4 Engineering Problems
Practice problems
CHAPTER 04 Ratios and Proportions
4.1 Ratio / 4.2 Proportionality / 4.3 Fuel Efficiency / 4.4 Applications of Ratio / 4.5 Engineering Problems
Practice problems
CHAPTER 05 Powers and Square Roots
5.1 Exponentiation / 5.2 Calculating Exponentiation / 5.3 Square Roots / 5.4 Rationalizing Denominators / 5.5 Engineering Problems
Practice problems
CHAPTER 06 Basic Units and Unit Conversion
6.1 Base Units / 6.2 Unit Conversion / 6.3 Scientific and Engineering Notation / 6.4 Engineering Problems
Practice problems
CHAPTER 07 Errors and Significant Figures
7.1 Measurements and Errors / 7.2 Significant Figures / 7.3 Arithmetic Operations between Significant Figures / 7.4 Engineering Problems
Practice problems
CHAPTER 08 Complex Numbers
8.1 Imaginary and Complex Numbers / 8.2 Operations on Complex Numbers / 8.3 Conjugate Complex Numbers / 8.4 Engineering Problems
Practice problems
CHAPTER 09 Vectors
9.1 Scalars and Vectors / 9.2 Unit Vectors / 9.3 Vector Product / 9.4 Engineering Problems
Practice problems
CHAPTER 10 MATRIX
10.1 Matrices / 10.2 Matrix Product / 10.3 Determinants / 10.4 Inverse Matrices / 10.5 Engineering Problems
Practice problems
PART 02 The Basics of Mathematics
CHAPTER 11 Understanding Functions
11.1 Definition of a function / 11.2 Injective and surjective functions / 11.3 Composite functions / 11.4 Engineering problems
Practice problems
CHAPTER 12 POLYNOMIALS AND POLYNOMIAL FUNCTIONS
12.1 Monomials and Polynomials / 12.2 Arithmetic Operations on Polynomials / 12.3 Polynomial Functions / 12.4 Engineering Problems
Practice problems
CHAPTER 13 Equations
13.1 Identities / 13.2 Linear and Fractional Equations / 13.3 Quadratic Equations / 13.4 Systems of Linear Equations / 13.5 Engineering Problems
Practice problems
CHAPTER 14 Inequalities
14.1 Operations on Inequalities / 14.2 Linear Inequalities and Systems of Linear Inequalities / 14.3 Quadratic Inequalities / 14.4 Engineering Problems
Practice problems
CHAPTER 15 Rational and Irrational Functions
15.1 Rational Functions / 15.2 Rational Equations and Rational Inequalities / 15.3 Irrational Functions / 15.4 Irrational Equations and Irrational Inequalities / 15.5 Engineering Problems
Practice problems
CHAPTER 16 Exponential and Logarithmic Functions
16.1 Nth power and nth root / 16.2 Exponential function / 16.3 Logarithmic function / 16.4 Relationship between exponential and logarithmic functions / 16.5 Engineering problems
Practice problems
CHAPTER 17 Trigonometric Functions
17.1 The Hodo Method / 17.2 Definition of Trigonometric Functions / 17.3 Periods, Minimum Values, and Maximum Values of Trigonometric Functions / 17.4 Applications of Trigonometric Functions / 17.5 Engineering Problems
Practice problems
CHAPTER 18 Limits and Continuity of Functions
18.1 Limits of Functions / 18.2 Existence of Limits / 18.3 Calculation of Limits / 18.4 Continuous Functions / 18.5 Engineering Problems
Practice problems
CHAPTER 19 Differentiation
19.1 Derivatives / 19.2 Basic Properties of Differentiation / 19.3 Differentiation of Transcendental Functions / 19.4 Differentiation of Composite Functions / 19.5 Engineering Problems
Practice problems
CHAPTER 20 INTEGRATION
20.1 Indefinite Integrals / 20.2 Substitution Integrals / 20.3 Integrals of Trigonometric Functions / 20.4 Definite Integrals / 20.5 Engineering Problems
Practice problems
Search
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GOODS SPECIFICS
- Date of issue: May 2, 2022
- Page count, weight, size: 484 pages | 188*257*30mm
- ISBN13: 9791156646013
- ISBN10: 1156646014
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