Appetizer

CHAPTER 1 - A New Approach to Computation

1-1 Percentage Calculation: 16% of 25
1-2 Square Calculation (1): When there is a good number nearby
1-3 Square Calculation (2): How to Use Polynomial Expansion in Calculations
1-4 Two-digit and three-digit multiplication: No need to write multiple lines?
No need for the 1-5 root formula?!
1-6 Root Calculation (1): Easy Root Approximation
Calculating the root of 1-7 (2): When you know it is a perfect square
Approximate calculations using 1-8 differentiation
1-9 Fahrenheit to Celsius conversion made easy
Enjoy difficult math in a delicious way! Main Dish

CHAPTER 2 - "Named" Constants That Were Curious But Difficult to Understand

Why is 2-1 i ( -1) necessary?
2-2 Reasons to Learn Logs
2-3 Two different definitions of the natural constant e
Why 2-4 e is an irrational number
Why 2-5 π is an irrational number

CHAPTER 3 - Large Numbers, Infinity, and Imagination

3-1 Multiplication, exponents, then tetration.
A number that is beyond imagination
3-2 Class of increasing functions
3-3 n!
3-4 Infinite Classes

CHAPTER 4 - Why Justice Matters

4-1 Why Mathematics Must Be Rigorous: Berry's Paradox
4-2 0.999 … = 1?
4-3 The power of common knowledge
4-4

CHAPTER 5 - A Dimensional Story That Breaks Common Sense

5-1 Somewhere between 2D and 3D.

Curse of the 5-2nd dimension

CHAPTER 6 - Generating Functions

6-1 Why Learn Factoring?
Fibonacci sequence as seen in 6-2 100/9899?

CHAPTER 7 - A Story of Probability

7-1 Gambling and Math: Cali's Ratio
7-2 Should we divide by the standard deviation n or by n -1?
How to Read a 7-3 Rating: Is 4.9 Better in This Case?

CHAPTER 8 - PROBLEM-SOLVING TECHNIQUES

8-1 What does not change?
8-2 Why all points must lie on a line: Sylvester's theorem
The Amazing Secret of 8-3 37
The Amazing Secret of 8-4 1001
If you fill in 8-5 6 × 6, a split line will definitely appear.

8-6 How to connect smoothly? : Sigmoid
Enjoy difficult math in a delicious way! Dessert

CHAPTER 9 - MATHEMATICAL INDUCTION

9-1 The essence of induction is reduction, not expansion.
9-2 Two-Space Jump Induction: Why Some People Don't Get Matched in Odd-Numbered Starfights
9-3 Inductive method of jumping three spaces at a time
9-4 Double Jump Induction
9-5 When Abduction and Induction Meet? : COGRAPH
9-6 Two-Dimensional Induction: The King's Way

CHAPTER 10 - Discrete Mathematics / Graph Theory

10-1 Euler Formula
10-2 Why is K5 not a planar graph?
Why 7 colors are needed in a 10-3 torus
Why there are 12 pentagons on a 10-4 soccer ball
10-5 Eat the middle piece last
10-6 Tetris | Why Filling 10 Lines with Your Own Power Is Impossible
The Hidden Math in 10-7 SET Games
Let's cover all 10 dots given with 10-8 coins.

The more you learn about mathematics, the more your perspective on the world and the more you interpret it will change.
From various definitions such as Berry's paradox, Kelly's ratio, Fibonacci sequence, Sylvester's theorem, induction, and reductio ad absurdum to interesting stories that mathematically explain everyday things like the Euler formula, chess, Tetris, and card games!

"A must-read for anyone interested in the humanities and social sciences."
Kim In-song, Professor of Political Science at MIT
"A book that easily conveys the intuition of mathematics that is not taught anywhere else."
- Jeong Jun-hyeok, Professor of Mathematics at Brown University
"A Princeton Ph.D.'s Unconventional Approach to Math for the Curious"
- Nam Ki-hoon, Professor of Mathematics at Monash University, Australia
"A Guidebook for Mathematical Independent Travel You Can Trust"
- Professor Lee Dong-heon, Department of Mathematics, Korea University
"A book that makes math as fun as a game."
- Kim Lin-gi, Professor of Mathematics, Inha University