Chapter 1: How to Handle Numbers
1-1 Number notation ①: Significant figures
1-2 Number notation ②: Exponent notation
1-3 Number notation ③: Prefix
Meaning and notation of units 1-4
1-5 Addition and Subtraction
1-6 Multiplication and Division
1-7 Arithmetic Operations and Significant Figures

Chapter 2: Instructions for Using Numbers and Letters
2-1 Types of numbers ①: Natural numbers
2-2 Types of numbers ②: Integers
2-3 Types of numbers ③: Rational numbers
Types of Numbers 2-4 ④: Irrational Numbers
2-5 Types of Numbers ⑤: Real Numbers
2-6 Character Expression ①: Meaning
2-7 Character Formula ②: Technique
2-8 Character Formula ③: Purpose
2-9 Calculation of character expressions ①
Calculation of 2-10 character expressions ②
2-11 Calculation of character expressions ③

Chapter 3 Linear Equations
3-1 What is an equation?
3-2 What is the 'linear' in linear equations?
3-3 Monomials and polynomials, coefficients and constants
3-4 Coefficients and Constants
3-5 Identities and Equations
3-6 Addition and Subtraction
3-7 Multiplication and Division
Solution to Equation 3-8
3-9 Solution to linear equation ①
Solution to linear equation 3-10 ②
3-11 Solution to linear equation ③
3-12 Application of Linear Equations ①
3-13 Application of Linear Equations ②

Chapter 4 Systems of Equations and Matrices
4-1 Simultaneous Equations ①: What is it?
4-2 Simultaneous Equations ②: Units of Characters
4-3 Simultaneous Equations ③: Various Solutions
4-4 Simultaneous Equations ④: How to Use It?
4-5 Matrix ①: Elements and Addition/Subtraction
4-6 Matrix ②: Multiplication
4-7 Matrix ③: What you get from a matrix
4-8 Matrix ④: Matrices and Simultaneous Equations
4-9 Matrix ⑤: Solution to the simultaneous equations
4-10 Matrix ⑥: Matrix coefficients and simultaneous equations
4-11 Matrix ⑦: Application of Matrix ①
4-12 Matrix ⑧: Application of Matrix ②
4-13 Matrix ⑨: Application of Matrix ③

Chapter 5 Functions
5-1 What is a function?
5-2 Simple functions
5-3 Graph of function ①
Graph of function 5-4 ②
5-5 trigonometric ratios
5-6 Getting Started with Trigonometry
5-7 Hodo method and general angles
5-8 Pythagorean theorem
5-9 Graphs of Trigonometric Functions ①
5-10 Graphs of Trigonometric Functions ②
5-11 Graphs of Trigonometric Functions ③
5-12 Graphs of Trigonometric Functions ④
5-13 Addition theorem of trigonometric functions
5-14 index
5-15 What is an exponential function?
5-16 Graph of exponential functions
5-17 log
5-18 What is a logarithmic function?
5-19 Properties of logarithmic functions
5-20 Graph of logarithmic function
5-21 Logarithmic graph and double logarithmic graph

Chapter 6 Complex Numbers
6-1 What is a complex number?
6-2 The Secret of the Imaginary Unit
6-3 Rectangular and Polar Coordinates
6-4 Coordinate System Transformation
6-5 Complex Number Calculation ①: Rectangular Coordinates
6-6 Complex Number Calculation ②: Polar Coordinates
6-7 Euler's formula

Chapter 7 Differentiation and Integration
7-1 Differentiation ①: Meaning of Differentiation
7-2 Differentiation ②: Differential Coefficient
7-3 Differentiation ③: Notation of Differentiation
7-4 Differentiation Operations
7-5 Derivatives of various functions
7-6 Properties of Differentiation
7-7 Differentiation and Graphs
7-8 What is integration?
7-9 Integration and Differentiation
7-10 Integral Calculation

Chapter 8 Differential Equations and Laplace Transforms
8-1 What is a differential equation?
8-2 Applications of Differential Equations
8-3 Solution to Differential Equations ①
8-4 Solution to Differential Equations ②
8-5 Basics of Laplace Transforms
8-6 Calculating the Laplace Transform
8-7 Laplace Transforms and Differential Equations

Chapter 9 Fourier Series and Fourier Transforms
Before going in 9-0
9-1 Getting Started with Fourier Series
9-2 Calculation of Fourier Series ①
9-3 Calculation of Fourier Series ②
9-4 Complex Fourier Series and Fourier Transform

Problem solving and answers
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Chapter 1: How to Handle Numbers
Explains how numbers are handled in electrical and electronic engineering.
Although it is not necessary to solve the problem directly, it contains a lot of 'important common sense in electrical and electronic engineering'.
By reading this chapter, you will be able to better understand the contents of the professional book.
Since it is relatively easy content, I recommend reading it.

Chapter 2: Instructions for Using Numbers and Letters
Basic usage of numbers and strings is written.
If you think, “It’s okay, it’s not that much,” you can skip it or just read the parts you need.
However, if you neglect the basic rules of mathematics, you may have a hard time studying more advanced mathematics later on.
You may want to read it through to solidify your foundation.

Chapter 3 Linear Equations
Except for the parts that require an understanding of electrical and electronic engineering, the first three chapters are math content learned in middle school.
You can skip it if you don't need it, but this chapter covers a lot of important formulas and equations.
By solving equation problems, you will learn what you can do with math (how to use math as a weapon).

Chapter 4 Systems of Equations and Matrices
The first half of Chapter 4, up to Section 4-4, is about ‘simultaneous equations’ that we learn in middle school.
This book goes further and even covers 'matrices'.
In the matrix, the amazing parts of mathematics and the essence of mathematics are explained in a fun way so that you can understand them. If you have time, reading the contents after verses 4-5 will also be an opportunity to become familiar with mathematics.

Chapter 5 Functions
This is the chapter that takes up the most pages in the book.
The mathematics presented here will be as important a tool as writing instruments in studying electrical and electronic engineering.
This has been explained in great detail, so please read it carefully to understand the chapters that follow or to understand the specialized book.
It contains a wealth of content, including mathematical concepts and how to use them in electrical and electronic engineering.

Chapter 6 Complex Numbers
J, which is essential for electrical and electronic circuits, appears.
We will explain complex numbers from a mathematical perspective, not an electrical engineering perspective.
Please refer to a book on electrical and electronic circuits to learn why complex numbers appear in electrical and electronic circuits.
This chapter focuses on laying the foundations of mathematics.

Chapter 7 Differentiation and Integration
To have a solid understanding of electrical and electronic engineering, knowledge of differentiation and integration is necessary.
However, since the content is so vast that it could fill an entire book just with differentiation and integration, many books omit detailed explanations and only publish the results.
When looking at such books, the knowledge in Chapter 7 is essential to understand the content.

Chapter 8: Differential Equations and Laplace Transforms, Chapter 9: Fourier Series and Fourier Transforms
This topic is so in-depth that it could easily be covered in a book, but Chapters 8 and 9 cover the basics necessary to read books that cover differential equations, Laplace transforms, Fourier series, and Fourier transforms in detail.
Due to space limitations, it is difficult to explain everything in this book.
However, we have extracted only the key contents and organized them so that you can read them with interest.