Book Creator

Irrational Number A to Z

by Judy Kim

Cover

Comic Panel 1
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Irrational Number
A to Z
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By Jaesung, Bomin, Jaewoong, & Yoonjea ๐ŸŒˆ๐Ÿ‘from Deogweon Middle School
Table of Contents
Before we get started,
Math
Jaesung
This is my very first experience making an e-book but I will try my best to make the best e-book.
boy
1. Historical Background --
2. Mathematicians --------
3. Myth & Fact ------------
4. Cases -------------------
5. Book Review ------------
6. Math around us --------
7. What we learned -------
04
06
10
14
20
22
24
Bomin
I'm not good at math at all but I'll work together with my team as much as I can.
girl
Jaewoong
I think solving math questions for my math class is not fun but creating e-book about math is so fun and I hope I can get to like Math after this activity.
boy
Comic Panel 1
Yoonjea
Due to Covid19, I didn't see my friends often but I think this project will help me to work with friends. I will work hard on this.
boy
Table of Contents
Before we get started,
Math
Jaesung
This is my very first experience making an e-book but I will try my best to make the best e-book.
boy
1. Historical Background --
2. Mathematicians --------
3. Myth & Fact ------------
4. Cases -------------------
5. Book Review ------------
6. Math around us --------
7. What we learned -------
04
06
10
14
20
22
24
Bomin
I'm not good at math at all but I'll work together with my team as much as I can.
girl
Jaewoong
I think solving math questions for my math class is not fun but creating e-book about math is so fun and I hope I can get to like Math after this activity.
boy
Comic Panel 1
Yoonjea
Due to Covid19, I didn't see my friends often but I think this project will help me to work with friends. I will work hard on this.
boy
5
1. Historical Background
Around the 6th century BC, the Pythagorean school, centered on Pythagoras, believed that numbers could only be expressed as integers or ratios of integers (fractions). One day, when one of the Pythagoreans, Hippasos, was looking for the ratio of each line segment that makes up a figure, he drew a square of length 1 and drew a diagonal. there was no So, solving with the Pythagorean theorem, aยฒ=2, 1.414213โ€ฆ โ€ฆ A prime number that does not cycle with . So this fact is reported to the people of the school, but the people of the school don't believe it and instead kill Hippasus.
<Image Source: http://www.kdnews.co.kr/20347>
CAPTION Half page image nullam nunc eros, vehicula feugiat
After that, in the 7th century India, the irrational number found by Hippasos was finally recognized, and at first, irrational numbers such as ka15 and ka10 were expressed instead of the root symbols we know. After some time, the symbol โˆš was created by taking the r from the Greek word radix, which means root. Then, around 1500, French mathematician Descartes began to think about how to change โˆš. The reason is that it is difficult to see at a glance how far โˆš is applied. So, Descartes added horizontal bars until he wanted to express the square root. By creating this symbol, the scope of application of the route has been increased.
5
1. Historical Background
Around the 6th century BC, the Pythagorean school, centered on Pythagoras, believed that numbers could only be expressed as integers or ratios of integers (fractions). One day, when one of the Pythagoreans, Hippasos, was looking for the ratio of each line segment that makes up a figure, he drew a square of length 1 and drew a diagonal. there was no So, solving with the Pythagorean theorem, aยฒ=2, 1.414213โ€ฆ โ€ฆ A prime number that does not cycle with . So this fact is reported to the people of the school, but the people of the school don't believe it and instead kill Hippasus.
<Image Source: http://www.kdnews.co.kr/20347>
CAPTION Half page image nullam nunc eros, vehicula feugiat
After that, in the 7th century India, the irrational number found by Hippasos was finally recognized, and at first, irrational numbers such as ka15 and ka10 were expressed instead of the root symbols we know. After some time, the symbol โˆš was created by taking the r from the Greek word radix, which means root. Then, around 1500, French mathematician Descartes began to think about how to change โˆš. The reason is that it is difficult to see at a glance how far โˆš is applied. So, Descartes added horizontal bars until he wanted to express the square root. By creating this symbol, the scope of application of the route has been increased.
7
2. Mathematicians
1. Archimedes
Archimedes invented the concept of infinite primes in an era when there was no modern integral. An approximation was found using the elimination method, and was calculated using a regular decagon.

According to a famous story, when there were rumors that the king's crown had been mixed with other substances, he summoned Archimedes to find out. When he entered the bathroom, he saw the water overflowing from his body and accidentally discovered the principle of buoyancy, and exclaimed, "I found it, Eureka!
2. Hippasus
By applying the Pythagorean theorem, the theorem named after his teacher, to a right-angled triangle with two sides of length 1, Hippasus discovered the number โˆš2, proving that it is a number that cannot be expressed in a perfect integer ratio. At that time, the Pythagoreans believed that the origin of all things was a natural number, and taught that all numbers can be expressed as ratios of natural numbers. In other words, the existence of irrational numbers implied the Pythagorean error. So he was killed by the Pythagoreans.
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