
NEWTON HIGHLIGHT 142 High School Mathematics
Description
Book Introduction
Explaining the concepts and applications of middle and high school mathematics through pictures.
I think there are quite a few people who wonder, 'What good is the math we learn in middle and high school?'
But in reality, mathematics is a very helpful subject.
For example, when analyzing data released by the government, the concepts of 'exponent' and 'log' are helpful in simplifying and calculating large numbers such as the national budget.
When managing assets, you can manage them with a forward-looking perspective by using the knowledge of 'sequences'.
When predicting sales and forecasting profits for new products, you can easily calculate them by applying knowledge of linear and quadratic functions.
In addition, knowledge of the 'exponential function' can be utilized when predicting the spread of infectious diseases.
Video games use calculations of 'vectors' and 'matrices', and the mechanisms of smartphones use knowledge of trigonometric functions.
Also, most of the mathematics learned in middle and high school, including ‘differentiation’ and ‘integration’, are essential tools in physics, which explains the mechanisms of the natural world.
This book covers all the content of middle and high school mathematics and explains it in an easy-to-understand way.
At the same time, it also goes into detail about 'what it can help with.'
By the time you finish reading this book, I hope you will have a deeper understanding of the appeal of mathematics and be able to enjoy its fun.
I think there are quite a few people who wonder, 'What good is the math we learn in middle and high school?'
But in reality, mathematics is a very helpful subject.
For example, when analyzing data released by the government, the concepts of 'exponent' and 'log' are helpful in simplifying and calculating large numbers such as the national budget.
When managing assets, you can manage them with a forward-looking perspective by using the knowledge of 'sequences'.
When predicting sales and forecasting profits for new products, you can easily calculate them by applying knowledge of linear and quadratic functions.
In addition, knowledge of the 'exponential function' can be utilized when predicting the spread of infectious diseases.
Video games use calculations of 'vectors' and 'matrices', and the mechanisms of smartphones use knowledge of trigonometric functions.
Also, most of the mathematics learned in middle and high school, including ‘differentiation’ and ‘integration’, are essential tools in physics, which explains the mechanisms of the natural world.
This book covers all the content of middle and high school mathematics and explains it in an easy-to-understand way.
At the same time, it also goes into detail about 'what it can help with.'
By the time you finish reading this book, I hope you will have a deeper understanding of the appeal of mathematics and be able to enjoy its fun.
- You can preview some of the book's contents.
Preview
index
1 Let's use 'number' skillfully
Mathematics that supports society/Positive and negative numbers/Rational and irrational numbers/Imaginary numbers/Sequences/Column 1 The brightness of stars is thought of using 'similarity'/Vectors/Vectors and matrices/Column 2 √2 and √3 are hidden in copy paper/Column 3 Visualizing multiplication/Column 4 Division and gears/Column 5 The emergence of negative numbers was a miraculous event in the world of mathematics/Chapter 1 Formula collection
2 Let's predict what doesn't appear as a 'function'
Functions/Exponential functions/Logarithmic functions/Origins of trigonometric functions/Trigonometric functions ①~②/Column 6: Finding the area of a triangle without knowing its height/Column 7: The mysterious relationship between circles and right triangles/Solar panels and trigonometric functions/Trigonometric functions for dividing a pizza into six equal parts/Chapter 2: Formula collection
3 Let's measure the change of objects using differentiation and integration.
58 Differentiation/The Essence of Differentiation/Integration/Integration and Volume/Basic Theorems of Differentiation and Integration/Differential Equations/Column 8 Archimedes's Quadrature Method/Column 9 The Idea of Integration by Adding Infinitely Small Parts/Column 10 How Long Will It Take for a Room to Warm Up?/Chapter 3 Formula Collection
4. Let's discover the laws of things with 'probability and statistics'.
80 What is probability? / Expected value / Law of large numbers / Probability of gambling / Conditional probability / Wolf boy / What is statistics / Variance and standard deviation / Normal distribution / Column 11 Standard values and normal distribution for health checkups / Correlation / Correlation coefficient / Regression analysis / Probability of weather forecasting / Chapter 4 Formula collection
5 High School Math for Adults
112 Profit Comparison/Profit Forecasting of New Products/Setting List Price from Profit Target/Compare with Graphs/Become Strong with Numbers/Read Multiple Digits/Calculate Compensation/Tracking Surveys/Measuring Sloped Land/Building Slopes/Column 12 The Mysterious Relationship Between Trigonometry and Smartphones/Converting to Real-World Numbers/Dividing Data into Groups/Diversified Investments and Mathematics
Mathematics that supports society/Positive and negative numbers/Rational and irrational numbers/Imaginary numbers/Sequences/Column 1 The brightness of stars is thought of using 'similarity'/Vectors/Vectors and matrices/Column 2 √2 and √3 are hidden in copy paper/Column 3 Visualizing multiplication/Column 4 Division and gears/Column 5 The emergence of negative numbers was a miraculous event in the world of mathematics/Chapter 1 Formula collection
2 Let's predict what doesn't appear as a 'function'
Functions/Exponential functions/Logarithmic functions/Origins of trigonometric functions/Trigonometric functions ①~②/Column 6: Finding the area of a triangle without knowing its height/Column 7: The mysterious relationship between circles and right triangles/Solar panels and trigonometric functions/Trigonometric functions for dividing a pizza into six equal parts/Chapter 2: Formula collection
3 Let's measure the change of objects using differentiation and integration.
58 Differentiation/The Essence of Differentiation/Integration/Integration and Volume/Basic Theorems of Differentiation and Integration/Differential Equations/Column 8 Archimedes's Quadrature Method/Column 9 The Idea of Integration by Adding Infinitely Small Parts/Column 10 How Long Will It Take for a Room to Warm Up?/Chapter 3 Formula Collection
4. Let's discover the laws of things with 'probability and statistics'.
80 What is probability? / Expected value / Law of large numbers / Probability of gambling / Conditional probability / Wolf boy / What is statistics / Variance and standard deviation / Normal distribution / Column 11 Standard values and normal distribution for health checkups / Correlation / Correlation coefficient / Regression analysis / Probability of weather forecasting / Chapter 4 Formula collection
5 High School Math for Adults
112 Profit Comparison/Profit Forecasting of New Products/Setting List Price from Profit Target/Compare with Graphs/Become Strong with Numbers/Read Multiple Digits/Calculate Compensation/Tracking Surveys/Measuring Sloped Land/Building Slopes/Column 12 The Mysterious Relationship Between Trigonometry and Smartphones/Converting to Real-World Numbers/Dividing Data into Groups/Diversified Investments and Mathematics
Detailed image

Publisher's Review
● Explaining the basics of numbers
In middle and high school, various number concepts such as ‘irrational numbers’, ‘real numbers’, and ‘imaginary numbers’ appear.
A clear understanding of what these mean is the foundation for utilizing middle and high school mathematics.
Chapter 1 explains the basics of using numbers skillfully and introduces how numbers help us in our lives.
● Easy-to-understand explanation of functions
In middle school mathematics, we only learn relatively simple functions such as ‘quadratic functions’, but in high school mathematics, functions such as ‘trigonometric functions’, ‘exponential functions’, and ‘logarithmic functions’ appear.
Understanding the meaning and properties of these functions is very important in high school mathematics.
Chapter 2 provides an easy-to-understand explanation of functions and how they can be useful in society and science.
●Introduces the seemingly difficult concept of differentiation and integration and explains where it is applied.
‘Differential and integral calculus’ is an important unit in high school.
Many people will think it is difficult.
However, differential and integral calculus have a very wide range of applications and are an indispensable tool in modern science and technology.
Chapter 3 provides an easy-to-understand explanation of differentiation and integration, introducing how they can be applied in social life and science.
I have also summarized important formulas related to differentiation and integration that are good to know.
●Explains the basics of probability and statistics based on specific examples.
Probability and statistics are relatively easy fields to understand and how they can be helpful in real life and society.
The concept of probability can also be applied in games using dice and cards, and a knowledge of statistics is required to properly understand the meaning of the 'variance' of a test.
Chapter 4 explains the basics of probability and statistics based on specific examples.
●Introducing the knowledge and concepts of middle and high school mathematics used in real life.
How much use is middle and high school math in real life? Surprisingly, middle and high school math is used extensively in real life, especially math learned in high school.
Chapter 5 introduces the knowledge and concepts of middle and high school mathematics used in real life.
● Functions, differentiation and integration, statistics, and formulas required for each chapter are organized and included.
From numerical concepts to statistics, the formulas necessary to understand each field are organized and included so that you can see them at a glance.
In middle and high school, various number concepts such as ‘irrational numbers’, ‘real numbers’, and ‘imaginary numbers’ appear.
A clear understanding of what these mean is the foundation for utilizing middle and high school mathematics.
Chapter 1 explains the basics of using numbers skillfully and introduces how numbers help us in our lives.
● Easy-to-understand explanation of functions
In middle school mathematics, we only learn relatively simple functions such as ‘quadratic functions’, but in high school mathematics, functions such as ‘trigonometric functions’, ‘exponential functions’, and ‘logarithmic functions’ appear.
Understanding the meaning and properties of these functions is very important in high school mathematics.
Chapter 2 provides an easy-to-understand explanation of functions and how they can be useful in society and science.
●Introduces the seemingly difficult concept of differentiation and integration and explains where it is applied.
‘Differential and integral calculus’ is an important unit in high school.
Many people will think it is difficult.
However, differential and integral calculus have a very wide range of applications and are an indispensable tool in modern science and technology.
Chapter 3 provides an easy-to-understand explanation of differentiation and integration, introducing how they can be applied in social life and science.
I have also summarized important formulas related to differentiation and integration that are good to know.
●Explains the basics of probability and statistics based on specific examples.
Probability and statistics are relatively easy fields to understand and how they can be helpful in real life and society.
The concept of probability can also be applied in games using dice and cards, and a knowledge of statistics is required to properly understand the meaning of the 'variance' of a test.
Chapter 4 explains the basics of probability and statistics based on specific examples.
●Introducing the knowledge and concepts of middle and high school mathematics used in real life.
How much use is middle and high school math in real life? Surprisingly, middle and high school math is used extensively in real life, especially math learned in high school.
Chapter 5 introduces the knowledge and concepts of middle and high school mathematics used in real life.
● Functions, differentiation and integration, statistics, and formulas required for each chapter are organized and included.
From numerical concepts to statistics, the formulas necessary to understand each field are organized and included so that you can see them at a glance.
GOODS SPECIFICS
- Publication date: June 15, 2022
- Page count, weight, size: 144 pages | 210*275*20mm
- ISBN13: 9791161961187
- ISBN10: 1161961186
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