A math store with a vision for the future
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Description
Book Introduction
“We sell the math you need for the future!”
Mysterious mathematics that transcends future science
These days, we are witnessing visions that seemed out of science fiction movies becoming reality.
With the advent of artificial intelligence, our daily lives have undergone tremendous changes.
Every time I hear news about space exploration, whether it's a rocket launch or a photo of a black hole, I feel a sense of excitement and thrill.
How will the world change in the future? How can we better predict the future? The key to developing the foresight and creativity to foresee the future lies in none other than mathematics.
《The Future-Visible Math Store》 is a book that uses the language of mathematics to look into the world that future science will change, set in a virtual store.
The 10 Math Stories, which are delivered to guests struggling with difficult math problems, cover concepts such as positive and negative numbers, shapes, coordinate systems, binary, probability, number of cases, and functions.
It's all easy math that appears in middle school textbooks, but it's a little unique.
For example, can negative lengths or masses exist? What if we divide 0 into +0 and -0? What if there were probabilities greater than 1? This book builds on the foundations of mathematics and attempts free-flowing "mathematical experiments."
What kind of math is that? Even the fractions, decimals, and negative numbers we're familiar with were once considered strange numbers in the past.
Mathematics has constantly changed, both leading and being influenced by the world.
The same will apply in the future.
In a future where science and technology are highly developed, we may encounter situations that cannot be solved using existing mathematics.
Rather than just trying to memorize mathematical principles, you need to be able to think flexibly from various perspectives.
Mysterious mathematics that transcends future science
These days, we are witnessing visions that seemed out of science fiction movies becoming reality.
With the advent of artificial intelligence, our daily lives have undergone tremendous changes.
Every time I hear news about space exploration, whether it's a rocket launch or a photo of a black hole, I feel a sense of excitement and thrill.
How will the world change in the future? How can we better predict the future? The key to developing the foresight and creativity to foresee the future lies in none other than mathematics.
《The Future-Visible Math Store》 is a book that uses the language of mathematics to look into the world that future science will change, set in a virtual store.
The 10 Math Stories, which are delivered to guests struggling with difficult math problems, cover concepts such as positive and negative numbers, shapes, coordinate systems, binary, probability, number of cases, and functions.
It's all easy math that appears in middle school textbooks, but it's a little unique.
For example, can negative lengths or masses exist? What if we divide 0 into +0 and -0? What if there were probabilities greater than 1? This book builds on the foundations of mathematics and attempts free-flowing "mathematical experiments."
What kind of math is that? Even the fractions, decimals, and negative numbers we're familiar with were once considered strange numbers in the past.
Mathematics has constantly changed, both leading and being influenced by the world.
The same will apply in the future.
In a future where science and technology are highly developed, we may encounter situations that cannot be solved using existing mathematics.
Rather than just trying to memorize mathematical principles, you need to be able to think flexibly from various perspectives.
- You can preview some of the book's contents.
Preview
index
Enter_Come to the shop with the mysterious math experiment
Chapter 1: A New Dimension Opened by Mathematics
-10kg negative mass + dark energy
Common sense dictates that objects move in the direction of force | The emergence of a strange substance that approaches when pushed | Can negative mass exist? | Negative mass even reveals the direction of movement | Is dark energy negative mass? | Flying board
-10m negative length + symmetry
Length is usually greater than 0 | The length of a material, which is the opposite of its property, is a negative number! | What is the relationship between length and area, and length and volume? | If you encounter a problem in calculations | Trying out a new rule for multiplication | Introducing symmetry | Positive and negative numbers that form symmetry | New rules for forming symmetry | Mirror Space Telescope
Change less than 0 + entropy
There's a reason a room is messy | Entropy, the measure of disorder | A universe where entropy only increases | An accelerating universe | A universe where entropy decreases | Netropy, the opposite of entropy | If you can go back and forth between entropy and negtropy | The immortality capsule
Shapes of prime dimensions + dimensions
Dimensions: 0, 1, 2, 3, 4! | Dimensions Created by Mathematics | The History of Dimensions | The Emergence of Fractal Shapes | Focusing on Size Changes | Commonalities Between Conventional and Fractal Shapes | New Definitions and Formulas for Dimensions | The Emergence of 1.26 and 1.58 Dimensions | Dimension Measuring Devices
Coordinate system of few dimensions + metaverse
Dimensions and Coordinate Systems | Coordinate Systems for Expanding or Contracting Space | Must Be Different in Fractional Dimensions | Coordinates for Fractal Figures | Understanding Fractional Dimensions with the Menger Sponge | The Metaverse and Fractal Figures | Exoplanet Creators
Chapter 2: New Technologies Created by Mathematics
Number system with +0 and -0 + semiconductor
All numbers have signs, but what about zero? | Signs that existed disappear, and signs that didn't exist appear | Computers have +0 and -0 | Two signals that computers process | Trouble arises in calculations | +0 is required for proper operation | How far can the +0 rebellion go? | +0 Captcha verification
Divide by 0 + black hole
Division by 0 is prohibited! | Is 3÷0 infinite? | Rethinking the definition of division | A contradiction that shakes all of mathematics | Assuming there are unknown numbers | Division by 0 is a black hole | If we define division independently | If we consider numbers as limits | Is a number as a domain possible? | A flawless calculator with no errors
Probability greater than 1 + genetic scissors
Probability is between 0 and 1 | Maximum probability is 1 | Theoretical probability vs. statistical probability | The coin landed on its side | The number of cases can also change | A new event with a probability greater than 1 | Maximum probability is greater than 1 and then converges to 1 | CRISPR gene scissors that edit genes | A discovery that created new events and beings | The small-bang map of evolution
Number of prime cases + artificial intelligence
The number of cases is a natural number | The law of sum or the law of multiplication | How many cases are there in a coin flip? | If the number of cases is the degree of certainty | The number of cases is both objective and subjective | Does artificial intelligence have self-consciousness? | If another self-conscious being appears | If knowledge and belief are expressed as a number of cases | The universe search engine
One function corresponding to many + machine learning
A function is a set of ordered pairs | There are conditions for function correspondence | Couple matching is a function | Can a function exist that is a one-to-many correspondence? | Notation and conditions of probabilistic functions | Is a machine learning function a one-to-many correspondence? | The perfect couple matching algorithm
References
Chapter 1: A New Dimension Opened by Mathematics
-10kg negative mass + dark energy
Common sense dictates that objects move in the direction of force | The emergence of a strange substance that approaches when pushed | Can negative mass exist? | Negative mass even reveals the direction of movement | Is dark energy negative mass? | Flying board
-10m negative length + symmetry
Length is usually greater than 0 | The length of a material, which is the opposite of its property, is a negative number! | What is the relationship between length and area, and length and volume? | If you encounter a problem in calculations | Trying out a new rule for multiplication | Introducing symmetry | Positive and negative numbers that form symmetry | New rules for forming symmetry | Mirror Space Telescope
Change less than 0 + entropy
There's a reason a room is messy | Entropy, the measure of disorder | A universe where entropy only increases | An accelerating universe | A universe where entropy decreases | Netropy, the opposite of entropy | If you can go back and forth between entropy and negtropy | The immortality capsule
Shapes of prime dimensions + dimensions
Dimensions: 0, 1, 2, 3, 4! | Dimensions Created by Mathematics | The History of Dimensions | The Emergence of Fractal Shapes | Focusing on Size Changes | Commonalities Between Conventional and Fractal Shapes | New Definitions and Formulas for Dimensions | The Emergence of 1.26 and 1.58 Dimensions | Dimension Measuring Devices
Coordinate system of few dimensions + metaverse
Dimensions and Coordinate Systems | Coordinate Systems for Expanding or Contracting Space | Must Be Different in Fractional Dimensions | Coordinates for Fractal Figures | Understanding Fractional Dimensions with the Menger Sponge | The Metaverse and Fractal Figures | Exoplanet Creators
Chapter 2: New Technologies Created by Mathematics
Number system with +0 and -0 + semiconductor
All numbers have signs, but what about zero? | Signs that existed disappear, and signs that didn't exist appear | Computers have +0 and -0 | Two signals that computers process | Trouble arises in calculations | +0 is required for proper operation | How far can the +0 rebellion go? | +0 Captcha verification
Divide by 0 + black hole
Division by 0 is prohibited! | Is 3÷0 infinite? | Rethinking the definition of division | A contradiction that shakes all of mathematics | Assuming there are unknown numbers | Division by 0 is a black hole | If we define division independently | If we consider numbers as limits | Is a number as a domain possible? | A flawless calculator with no errors
Probability greater than 1 + genetic scissors
Probability is between 0 and 1 | Maximum probability is 1 | Theoretical probability vs. statistical probability | The coin landed on its side | The number of cases can also change | A new event with a probability greater than 1 | Maximum probability is greater than 1 and then converges to 1 | CRISPR gene scissors that edit genes | A discovery that created new events and beings | The small-bang map of evolution
Number of prime cases + artificial intelligence
The number of cases is a natural number | The law of sum or the law of multiplication | How many cases are there in a coin flip? | If the number of cases is the degree of certainty | The number of cases is both objective and subjective | Does artificial intelligence have self-consciousness? | If another self-conscious being appears | If knowledge and belief are expressed as a number of cases | The universe search engine
One function corresponding to many + machine learning
A function is a set of ordered pairs | There are conditions for function correspondence | Couple matching is a function | Can a function exist that is a one-to-many correspondence? | Notation and conditions of probabilistic functions | Is a machine learning function a one-to-many correspondence? | The perfect couple matching algorithm
References
Into the book
hello.
I am the owner of the world's only math store.
My job is to sell mathematical ideas.
We provide math that is perfect for those who are stuck in math and have lost touch with life.
I was a very successful mathematician.
Are you worried about whether anyone will find it? Math is essential in the digital age! There are quite a few people out there pulling their hair out and searching for it.
Look over there.
The guest opens the door and peeks out.
“Welcome.
“What math are you worried about?”
--- p.13
Negative mass, it would be very strange and awkward.
It's easy to think that it's an imaginary concept and can't be an actual mass.
Like a pile of stones that always returns to its original place, when we think of 'mass', we naturally think of positive numbers.
Because we are accustomed to positive mass.
The same was true for people who first encountered the concept of negative numbers in the past.
People were initially hesitant to accept negative numbers as numbers.
Didn't Blaise Pascal, the genius mathematician of the 17th century, say that 4 minus 0 equals 0? However, over time, people came to naturally accept negative numbers.
If so, the day will soon come when negative mass will also become natural.
---From "Negative mass like 10kg_Dark energy"
If we could discover the secret of the energy that increases netropy, we could create capsules filled with that energy.
In that space, entropy is reduced and a more ordered state is restored.
What if a person were to enter that capsule? They would be restored to a younger state.
If you enter that capsule periodically, wouldn't you be able to live forever and stay young?
---From "Entropy less than 0"
+0 and -0 appeared through computers.
It was intentionally designed to represent the sign and size of a number together.
However, it does not seem to have had any impact on the human number system yet.
There are many people who don't even know about its existence.
It's just a small incident that happened in the world of computers.
Still, +0 and -0 may become important numbers in the future.
There are things that reveal their presence as soon as they are turned on, like an electric light, but there are also things that reveal themselves only after a very long time, like global warming!
---From "Number system with +0 and -0_Semiconductor"
The number of elements has been increasing gradually because the universe is not static but rather changing.
We witness moments like this when new events emerge.
New materials, new inventions, and new systems emerge, just like a coin landing on its side.
There are also life forms that have existed since ancient times but are only now being discovered.
The number of cases for an event is also not fixed, but expands and changes.
The universe and human perception of it are expanding and changing.
---From "Probability greater than 1_Gene Scissors"
When you talk about correspondences and ordered pairs, it's hard to get a sense of why functions are important.
But in everyday life, there are many phenomena where functions are applied.
The relationship between the number of mobile phone calls and the cost, the relationship between the weather and mood, the relationship between a gift and the satisfaction of the recipient, the relationship between the price of gas and the cost of living, the relationship between the button on a vending machine and the item it gives out, and the relationship between the performer and the recipient chosen by the performer can all be expressed as functions.
There are so many uses for it.
I am the owner of the world's only math store.
My job is to sell mathematical ideas.
We provide math that is perfect for those who are stuck in math and have lost touch with life.
I was a very successful mathematician.
Are you worried about whether anyone will find it? Math is essential in the digital age! There are quite a few people out there pulling their hair out and searching for it.
Look over there.
The guest opens the door and peeks out.
“Welcome.
“What math are you worried about?”
--- p.13
Negative mass, it would be very strange and awkward.
It's easy to think that it's an imaginary concept and can't be an actual mass.
Like a pile of stones that always returns to its original place, when we think of 'mass', we naturally think of positive numbers.
Because we are accustomed to positive mass.
The same was true for people who first encountered the concept of negative numbers in the past.
People were initially hesitant to accept negative numbers as numbers.
Didn't Blaise Pascal, the genius mathematician of the 17th century, say that 4 minus 0 equals 0? However, over time, people came to naturally accept negative numbers.
If so, the day will soon come when negative mass will also become natural.
---From "Negative mass like 10kg_Dark energy"
If we could discover the secret of the energy that increases netropy, we could create capsules filled with that energy.
In that space, entropy is reduced and a more ordered state is restored.
What if a person were to enter that capsule? They would be restored to a younger state.
If you enter that capsule periodically, wouldn't you be able to live forever and stay young?
---From "Entropy less than 0"
+0 and -0 appeared through computers.
It was intentionally designed to represent the sign and size of a number together.
However, it does not seem to have had any impact on the human number system yet.
There are many people who don't even know about its existence.
It's just a small incident that happened in the world of computers.
Still, +0 and -0 may become important numbers in the future.
There are things that reveal their presence as soon as they are turned on, like an electric light, but there are also things that reveal themselves only after a very long time, like global warming!
---From "Number system with +0 and -0_Semiconductor"
The number of elements has been increasing gradually because the universe is not static but rather changing.
We witness moments like this when new events emerge.
New materials, new inventions, and new systems emerge, just like a coin landing on its side.
There are also life forms that have existed since ancient times but are only now being discovered.
The number of cases for an event is also not fixed, but expands and changes.
The universe and human perception of it are expanding and changing.
---From "Probability greater than 1_Gene Scissors"
When you talk about correspondences and ordered pairs, it's hard to get a sense of why functions are important.
But in everyday life, there are many phenomena where functions are applied.
The relationship between the number of mobile phone calls and the cost, the relationship between the weather and mood, the relationship between a gift and the satisfaction of the recipient, the relationship between the price of gas and the cost of living, the relationship between the button on a vending machine and the item it gives out, and the relationship between the performer and the recipient chosen by the performer can all be expressed as functions.
There are so many uses for it.
---From "'One Function Corresponds to Many_Machine Learning"
Publisher's Review
Flying boards, anti-aging capsules…
Imaginative math stories
Since ancient times, science and mathematics have developed together, building on each other.
The owner of the Math Shop uses new mathematics to explore the principles of science and technology that will play a crucial role in future society.
In each chapter, dark energy, entropy, the metaverse, semiconductors, black holes, genetic scissors, machine learning, and more are paired with mathematical concepts.
In the Math Shop, you can freely imagine inventions that might one day appear, such as flying boards, anti-aging capsules, error-free calculators, and dimension measuring machines.
Just as you can become a different person by simply changing your hairstyle or clothes, you can freely explore the world of mathematics like a mathematician by just changing your thinking a little.
Experience the joy of imagination and the fun of thinking as you explore the world of numbers with this book!
Imaginative math stories
Since ancient times, science and mathematics have developed together, building on each other.
The owner of the Math Shop uses new mathematics to explore the principles of science and technology that will play a crucial role in future society.
In each chapter, dark energy, entropy, the metaverse, semiconductors, black holes, genetic scissors, machine learning, and more are paired with mathematical concepts.
In the Math Shop, you can freely imagine inventions that might one day appear, such as flying boards, anti-aging capsules, error-free calculators, and dimension measuring machines.
Just as you can become a different person by simply changing your hairstyle or clothes, you can freely explore the world of mathematics like a mathematician by just changing your thinking a little.
Experience the joy of imagination and the fun of thinking as you explore the world of numbers with this book!
GOODS SPECIFICS
- Date of issue: June 12, 2023
- Page count, weight, size: 164 pages | 264g | 140*210*12mm
- ISBN13: 9791156335405
- ISBN10: 115633540X
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