Math is difficult, but I want to know calculus.
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Description
Book Introduction
Easy-to-understand explanations that you can understand in just one hour
The World's Easiest Calculus Course
"Math is Difficult, but I Want to Know Calculus" is a book written by Takumi Yobinori, a popular Japanese educational YouTuber who explains math and physics in an easy-to-understand way like a private academy teacher. It is a book that organizes the explanations of the principles of calculus in a conversational manner so that anyone can understand them in just one hour.
Calculus is a high school mathematics subject that condenses the charm and fun of mathematics itself, but unfortunately, it is also the most difficult subject that produces the most dropouts.
The author has completed a one-hour lecture in the form of a virtual question-and-answer dialogue, allowing anyone to quickly grasp the concepts and principles of calculus, which many find most difficult.
This book explains the essence of calculus in a way that anyone can easily understand, and after reading it, you'll find yourself exclaiming, "Wow, there's a calculus lecture like this!" and experiencing the thrill of awakening a "math brain" you didn't even know existed.
The World's Easiest Calculus Course
"Math is Difficult, but I Want to Know Calculus" is a book written by Takumi Yobinori, a popular Japanese educational YouTuber who explains math and physics in an easy-to-understand way like a private academy teacher. It is a book that organizes the explanations of the principles of calculus in a conversational manner so that anyone can understand them in just one hour.
Calculus is a high school mathematics subject that condenses the charm and fun of mathematics itself, but unfortunately, it is also the most difficult subject that produces the most dropouts.
The author has completed a one-hour lecture in the form of a virtual question-and-answer dialogue, allowing anyone to quickly grasp the concepts and principles of calculus, which many find most difficult.
This book explains the essence of calculus in a way that anyone can easily understand, and after reading it, you'll find yourself exclaiming, "Wow, there's a calculus lecture like this!" and experiencing the thrill of awakening a "math brain" you didn't even know existed.
- You can preview some of the book's contents.
Preview
index
Reviewer's note
preface
HOME ROOM 1 Can even elementary school students understand calculus?
HOME ROOM 2 Math is 90 percent 'image'!
HOME ROOM 3 Calculus used in various places
HOME ROOM 4 Calculus: Understanding the World! ①
HOME ROOM 5 Calculus: Understanding the World! ②
HOME ROOM 6 Why Many Managers Study Math
4 Steps to Understanding Calculus in 60 Minutes
LESSON 1 Study calculus in 4 steps!
LESSON 2 There are only two new symbols.
LESSON 3 What is a 'function'?
LESSON 4: Let's calculate using the 'converter'
LESSON 5 What is a 'graph'?
LESSON 6 Let's actually draw a graph.
LESSON 7 Let's draw a parabola graph.
LESSON 8 What is 'slope'?
LESSON 9 What is 'area'?
LESSON 10: When Calculus Comes to Life: When It's Not a Constant Velocity!
Chapter 1 What is Differentiation?
LESSON 1 Differentiation is seeing incredibly small changes.
LESSON 2 Let's represent 'average speed' as a symbol.
LESSON 3: 'Instantaneous velocity' can be found through 'tangential line'
Differentiation practice problems ①~③
LESSON 4 How is differentiation used in the world?
Chapter 2 What is Integration?
LESSON 1 Integration comes into play when the speed is not constant.
LESSON 2: Draw an elongated rectangle within the area you want to find.
LESSON 3: Think about the gap problem in a rectangle.
LESSON 4: How to Find the Area of a Rectangle
LESSON 5: How to Find the Area of a Curved Section
LESSON 6: This is how integration was born
Integration practice problems ①~③
LESSON 7: Calculus Hidden in Elementary School Math
Reviews
preface
HOME ROOM 1 Can even elementary school students understand calculus?
HOME ROOM 2 Math is 90 percent 'image'!
HOME ROOM 3 Calculus used in various places
HOME ROOM 4 Calculus: Understanding the World! ①
HOME ROOM 5 Calculus: Understanding the World! ②
HOME ROOM 6 Why Many Managers Study Math
4 Steps to Understanding Calculus in 60 Minutes
LESSON 1 Study calculus in 4 steps!
LESSON 2 There are only two new symbols.
LESSON 3 What is a 'function'?
LESSON 4: Let's calculate using the 'converter'
LESSON 5 What is a 'graph'?
LESSON 6 Let's actually draw a graph.
LESSON 7 Let's draw a parabola graph.
LESSON 8 What is 'slope'?
LESSON 9 What is 'area'?
LESSON 10: When Calculus Comes to Life: When It's Not a Constant Velocity!
Chapter 1 What is Differentiation?
LESSON 1 Differentiation is seeing incredibly small changes.
LESSON 2 Let's represent 'average speed' as a symbol.
LESSON 3: 'Instantaneous velocity' can be found through 'tangential line'
Differentiation practice problems ①~③
LESSON 4 How is differentiation used in the world?
Chapter 2 What is Integration?
LESSON 1 Integration comes into play when the speed is not constant.
LESSON 2: Draw an elongated rectangle within the area you want to find.
LESSON 3: Think about the gap problem in a rectangle.
LESSON 4: How to Find the Area of a Rectangle
LESSON 5: How to Find the Area of a Curved Section
LESSON 6: This is how integration was born
Integration practice problems ①~③
LESSON 7: Calculus Hidden in Elementary School Math
Reviews
Detailed image
Into the book
Simply put, physics is a discipline that seeks to discover laws within phenomena that exist in the natural world.
And my math lectures don't just explain formulas in an easy-to-understand way; they mix in a physics perspective to connect them to the real world.
So, since it is easy to imagine the image of the formula, it is also easy to understand.
--- p.21
The reason I named the box ∫ is because ∫ means function.
When there is some relationship between 'what is input' and 'what is output', it is called a 'function'.
So, the function has a role called a 'conversion device', and the goal is to find out what characteristics the conversion device has through differentiation.
--- p.53
Eri walks one meter per second.
Looking at the graph, you can see that the straight line connecting the points where Eri's walking time and distance intersect increases by 1 meter for every second that passes. The pace of that change, or rate of change, is the "slope."
So, are "finding velocity" and "finding slope" the same thing? You're sharp! Velocity refers directly to slope.
And the slope (rate of change) can be calculated as (change in vertical axis)/(change in horizontal axis).
--- p.80~81
By using it with some other letter, like Δx, it can indicate a 'change' in what that letter means.
What exactly is "change"? For example, if x is a position, Δx represents a "change in position," and if t is a time, Δt represents a "change in time."
So, t+Δt means 'the point in time when t has changed by Δt'.
Earlier, I told you that in mathematics, you can omit the multiplication sign, but here, Δt absolutely does not mean Δ×t.
The Δ in front of a letter is just a 'sign' that indicates 'this is a change in ○○'.
--- p.97~98
If you study stocks diligently, you will inevitably come across the concept of 'differentiation'.
Anyway, the conclusion of what I said is that by using differentiation for each element, you can understand stock price trends to some extent or predict the future.
I had no idea differentiation was used in stock charts! It's amazing how much differentiation is used all over the world!
--- p.142
The thinner the rectangle, the more it could fill the area surrounded by curves without any gaps.
How would this be expressed in mathematical terms? Making Δt smaller? Excellent! Making Δt smaller fills in the gaps between the rectangular and squiggly graphs, and reduces the amount of overhang.
As Eri said, let's make Δt as small as possible.
In integration, this is expressed as 'dt'.
And my math lectures don't just explain formulas in an easy-to-understand way; they mix in a physics perspective to connect them to the real world.
So, since it is easy to imagine the image of the formula, it is also easy to understand.
--- p.21
The reason I named the box ∫ is because ∫ means function.
When there is some relationship between 'what is input' and 'what is output', it is called a 'function'.
So, the function has a role called a 'conversion device', and the goal is to find out what characteristics the conversion device has through differentiation.
--- p.53
Eri walks one meter per second.
Looking at the graph, you can see that the straight line connecting the points where Eri's walking time and distance intersect increases by 1 meter for every second that passes. The pace of that change, or rate of change, is the "slope."
So, are "finding velocity" and "finding slope" the same thing? You're sharp! Velocity refers directly to slope.
And the slope (rate of change) can be calculated as (change in vertical axis)/(change in horizontal axis).
--- p.80~81
By using it with some other letter, like Δx, it can indicate a 'change' in what that letter means.
What exactly is "change"? For example, if x is a position, Δx represents a "change in position," and if t is a time, Δt represents a "change in time."
So, t+Δt means 'the point in time when t has changed by Δt'.
Earlier, I told you that in mathematics, you can omit the multiplication sign, but here, Δt absolutely does not mean Δ×t.
The Δ in front of a letter is just a 'sign' that indicates 'this is a change in ○○'.
--- p.97~98
If you study stocks diligently, you will inevitably come across the concept of 'differentiation'.
Anyway, the conclusion of what I said is that by using differentiation for each element, you can understand stock price trends to some extent or predict the future.
I had no idea differentiation was used in stock charts! It's amazing how much differentiation is used all over the world!
--- p.142
The thinner the rectangle, the more it could fill the area surrounded by curves without any gaps.
How would this be expressed in mathematical terms? Making Δt smaller? Excellent! Making Δt smaller fills in the gaps between the rectangular and squiggly graphs, and reduces the amount of overhang.
As Eri said, let's make Δt as small as possible.
In integration, this is expressed as 'dt'.
--- p.163~164
Publisher's Review
It is not easy to explain the formula as it is
Explain using specific images from the real world as examples.
The author is a person who has gained popularity among many students who have failed in college, to the point that he has earned the nickname “Magician of Math” through his appearances on the YouTube channel [Learning University Math and Physics in a School Atmosphere] and the AbemaTV entrance exam documentary program [Dragon Horie].
The secret to his popularity was his ability to explain difficult mathematical concepts using concrete, real-world examples.
People who are frustrated with math often try to understand it by memorizing the formulas as they are when studying math.
However, the author takes the approach of explaining it from the perspective of physics, which was his major, and connecting it to the real world.
In other words, it is a friendly way of explaining things by giving an example that can bring to mind a specific image, like showing a picture of two apples to an elementary school student when they first learn addition.
This world is described by 'differentiation'
Read it as 'integral'
According to his explanation, differentiation is trying to see something as small as dust through a microscope, and integration is trying to accumulate those things as small as dust until they are visible to the eye.
In other words, differentiation is 'seeing' 'incredibly small changes', and integration is 'adding' 'incredibly small changes'.
Based on this premise, the author explains the principles of calculus in an easy-to-understand manner, using formulas and diagrams to explain the definition of a function, the advantages of graph format, and the meaning of slope and area.
Through this, we slowly help students understand the process through which calculus is derived.
In this process, we learn that differentiation is a formula created to find the rate of change in a graph where the velocity (slope) is not constant, and integration is a formula created to find the state of that non-constant change.
If you study math consistently,
You can train your eyes to see the world.
In fact, calculus is widely used in fields closely related to our lives.
Calculus is used when measuring the distance of a home run in a baseball game, calculating the thrust of a rocket in space development, or analyzing stock prices over a period of time.
It was also used in the equations of motion to investigate the orbit of Halley's Comet, which served as an opportunity to recognize the usefulness of calculus.
In this way, calculus is of great help in understanding the world we live in.
Mathematics is the process of finding an answer by applying simple rules to a problem.
In other words, it can be said that it is a general common rule extracted and organized from all objects and events that exist in the world.
Therefore, studying mathematics not only trains us to find the shortest path to a result, but also sharpens our perspective on the world by helping us discover common patterns.
This book provides an easy-to-understand explanation of the principles of calculus, allowing us to experience the true joy of studying mathematics by experiencing how mathematics helps us understand the world and its usefulness.
Explain using specific images from the real world as examples.
The author is a person who has gained popularity among many students who have failed in college, to the point that he has earned the nickname “Magician of Math” through his appearances on the YouTube channel [Learning University Math and Physics in a School Atmosphere] and the AbemaTV entrance exam documentary program [Dragon Horie].
The secret to his popularity was his ability to explain difficult mathematical concepts using concrete, real-world examples.
People who are frustrated with math often try to understand it by memorizing the formulas as they are when studying math.
However, the author takes the approach of explaining it from the perspective of physics, which was his major, and connecting it to the real world.
In other words, it is a friendly way of explaining things by giving an example that can bring to mind a specific image, like showing a picture of two apples to an elementary school student when they first learn addition.
This world is described by 'differentiation'
Read it as 'integral'
According to his explanation, differentiation is trying to see something as small as dust through a microscope, and integration is trying to accumulate those things as small as dust until they are visible to the eye.
In other words, differentiation is 'seeing' 'incredibly small changes', and integration is 'adding' 'incredibly small changes'.
Based on this premise, the author explains the principles of calculus in an easy-to-understand manner, using formulas and diagrams to explain the definition of a function, the advantages of graph format, and the meaning of slope and area.
Through this, we slowly help students understand the process through which calculus is derived.
In this process, we learn that differentiation is a formula created to find the rate of change in a graph where the velocity (slope) is not constant, and integration is a formula created to find the state of that non-constant change.
If you study math consistently,
You can train your eyes to see the world.
In fact, calculus is widely used in fields closely related to our lives.
Calculus is used when measuring the distance of a home run in a baseball game, calculating the thrust of a rocket in space development, or analyzing stock prices over a period of time.
It was also used in the equations of motion to investigate the orbit of Halley's Comet, which served as an opportunity to recognize the usefulness of calculus.
In this way, calculus is of great help in understanding the world we live in.
Mathematics is the process of finding an answer by applying simple rules to a problem.
In other words, it can be said that it is a general common rule extracted and organized from all objects and events that exist in the world.
Therefore, studying mathematics not only trains us to find the shortest path to a result, but also sharpens our perspective on the world by helping us discover common patterns.
This book provides an easy-to-understand explanation of the principles of calculus, allowing us to experience the true joy of studying mathematics by experiencing how mathematics helps us understand the world and its usefulness.
GOODS SPECIFICS
- Publication date: October 20, 2020
- Page count, weight, size: 200 pages | 276g | 128*188*20mm
- ISBN13: 9791160075335
- ISBN10: 1160075336
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