Preface?4

Algorithm
Starting with Algebra 10

The discovery of scarecrows
The Importance of Numbers That Defy the Laws of Nature 16

Euclid's Elements
A textbook and introductory book on geometry, accepted as the foundation of mathematics. 23

Non-Euclidean geometry
One Step Closer to the Metaverse! 35

metaphysics
Mathematics Meets Philosophy 42

infinity
Describing the Space of the Metaverse! 50

Calculus
Finely divided differentiation and cumulative integration 61

One-stroke drawing problem
Announcing the launch of the network! 71

Fourier series
Great discoveries in the study of heat transfer 80

Discovery of the log
Announcing the advent of computers 84

binary scale
The Language of Computers 94

Difference engines and programming languages
The invention of the mechanical computer and the creation of programming languages ​​97

geometry
Geometry Through Escher's Work: The Intersection of Mathematics and Art 103

quantum mechanics
Opening a New Era 113

linear algebra
Characters in the metaverse represent movement using vectors and matrices. 120

artificial intelligence
The Beginning of the Metaverse Era 125

multiverse theory
Providing a gateway to the metaverse 136

virtual reality
Towards the World of the Metaverse 143

ChatGPT
ChatGTP's tool for human conversation, Mathematics 156

Information theory
How ChatGPT Creates Natural Conversations 159

Optimization algorithm
How ChatGPT Finds the Best Answer 163

Pre-existing mathematics
The Art of Expressing Words in Mathematics 167

The Future of Mathematics
Math 171: The Core of ChatGPT and Virtual Reality

Search 178
Reference books and reference sites 180

Math, the most powerful language opening the era of ChatGPT and virtual reality and AI.
Introducing a method to read the future through mathematics, which leads the past of mankind and opens the future.
A Mathematical Story That Goes On and On
Let's meet a friendly math story for those who want to understand the future.

■■■ How can ChatGPT continue to speak like a human?
How can we move freely in 3D space in virtual reality?
There is an invisible mathematical power hidden in all of this.
Vectors, matrices, probability, statistics, optimization… It may seem complicated, but this is the mathematics that powers the world.
"A Mathematical Story That Continues to Lead to a Tale" explains the mathematical principles that made AI, the metaverse, and Chat GPT possible in an easy and interesting way.

From Euclid's Elements thousands of years ago to the emergence of AI, the metaverse, and ChatGPT today, 'mathematics' has always been behind the technologies that are changing the world.

The technologies of the digital age we live in today are all based on mathematics, and mathematics has constantly driven change and innovation.

But mathematics still feels like a difficult subject for many people, far removed from reality.
This book breaks down such prejudices and shows how interesting and relevant mathematics is to real life.
Rather than viewing mathematics as mere calculations or formulas, he easily unravels the essence of mathematics, which permeates almost every field that constitutes our lives, including philosophy, art, science and technology, artificial intelligence, and the metaverse.

Beginning with the origins of algorithms, each chapter connects like a story, leading readers into the flow of mathematical thought, moving on to the core mathematics of artificial intelligence: matrices and vectors, Fourier analysis, probability theory, and even ChatGPT, which naturally leads conversations.
This book goes beyond simply explaining the "mathematics of the past" to introduce the "mathematics that opens up the future." Therefore, it will introduce the "joy of understanding" mathematics to those who are interested in mathematics but find it difficult, readers who want to understand the principles behind new technologies, or those who are curious about why mathematics is necessary.
Although it covers modern topics like the metaverse, artificial intelligence, quantum mechanics, and virtual reality, it is easy to read because it explains with many photos and images that its roots are built on long-standing mathematical discoveries and developments.
Furthermore, mathematics is not just 'textbook knowledge', but a tool for understanding our language, drawing pictures, and creating virtual worlds, and it is an academic discipline that is shaping modern and future society, and it is still changing our lives today.

Therefore, it is very interesting that mathematics is not just a legacy of the past, but is designing the future even at this very moment.
I hope that the mathematics you encounter through "The Tale of Mathematical Tales" will not be difficult theories, but rather a living, moving, and exciting world of mathematics that shows how mathematics is changing the world.