preface

Chapter 1: The Formula is Beautiful

The sum of natural numbers: When added together, they form a beautiful shape.
Limits of Sums of Fractions: Understanding the Nature of Infinite Sums at a Glance
The Pythagorean theorem: It can be proven in many different ways.
Equation of a circle: Draw the curve that exists in a cone.
Heron's formula: Find the area of ​​a triangle using the lengths of its sides.
Euler's Polyhedron Theorem: A Mysterious Equation Hidden in Solids
The Golden Ratio: Exquisite Balance Symbolizes Beauty
Fibonacci Sequence: Nature's Most Beautiful Sequence
Binomial Theorem: Pascal and Fibonacci Hidden
Continued fraction expansion of square roots: Irrational numbers can be expressed as rational numbers.
Multiple roots: roots continue to infinity
Euler's Equation: The World's Most Beautiful Invariant Equation

Chapter 2 The formula is fun

Partial Fraction Decomposition: As refreshing as knocking down dominoes
Natural numbers and infinite decimals: Are 1 and 0.999 really the same?
The Multiplication Expansion: The Calculations and the Pictures Magically Match
Sum of Powers of Natural Numbers: Understanding the Secrets of Equations Through Geometry
Perfect Prime Numbers: Endless, Yet So Neat
Sum of Cubes: Regularity Preserved to the End
The sum of odd numbers: odd but stable and harmonious
Circular number: the same number goes around and around
Multiplication with Symmetry: Where Does Symmetry Come From?
Decomposition of Natural Numbers: Find Your Own Formula
Munchausen Number: Coincidence or Fate?
Infinite Water: The Great Capital Feels Surprisingly Small
Tower of Hanoi: Infinity is just around the corner
Heart Equation: Create Lovely Shapes with a Simple Formula
Catenary curve: similar to a parabola, but different

Chapter 3 The formula is great

Compound Interest Formula: Einstein Said It
The Formula of Probability: Calculating Probability Reveals Amazing Facts
Variance and Standard Deviation: Basic Statistics Matters
Root formula: There is no formula for the error equation.
Law of Cosines: Explains the relationship between side lengths and angles.
Addition Theorem: Derive the double-angle and half-angle theorems.
Sandwich Theorem: Pi is also calculated using this principle.
The derivative formula: defines the essence of differentiation.
L'Hôpital's rule: absolutely effective in calculating limits of functions.
Area of ​​a parabola: derive the area of ​​a function by integration
Fermat's Little Theorem: It's a "small" theorem, but it makes a huge difference.
The Zeta Function: Entering the Mysterious World of Mathematics
Taylor Series: Expanding Functions Leads to Deeper Truths
Equations of Motion: What is Motion and What is Force?
Maxwell's Equations: Electricity and Magnetism Are the Same

Chapter 4 The Formula is Great

Prime Number Theorem: The Existence Rate of Deep, Deep Prime Numbers
Taxi Number: There is a mathematician who received a revelation from God.
Perfect Numbers: They have captivated people since ancient times.
Fermat's Last Theorem: The Ultimate Theorem Has Finally Been Proven
The sum of three cubes: The journey of numbers never ends.
The Riemann Hypothesis: A Century-Changing Unsolved Problem in Physics and Mathematics
ABC Conjecture: One Inequality Proves Many Difficult Problems

Official Collection

Math becomes easier to understand when you understand the beauty of formulas!
49 Key Formulas That Reveal the Fun and Meaning of Math Right From the Start

There is only one difference between people who like math and people who hate math.
The question is whether or not you have ever felt the thrill of solving a math problem and saying, “Yes, this is it!”
Whether or not this experience opens your eyes to mathematics, makes it fun, and makes you immersed in it.
The easiest way to experience this pleasure in mathematics is to look closely at the 'formulas'.
Mathematical formulas and equations are actually the result of countless mathematicians racking their brains to make math easier and more interesting to approach.
As you look at the formula in detail, its intention and meaning begin to become apparent little by little.
It is at this moment that the first pleasure and enjoyment of studying mathematics is felt.
Long, rigid mathematical formulas and equations may seem intimidating, but this is your chance to experience the kindness and warmth of formulas instead of their fear.
These are the nuggets that most simply show the essence of mathematics.
Through the formula, you can experience the original fun and pleasure of mathematics right now.

A complete guide to formulas you need to know to make studying math fun.
A math textbook that builds a solid foundation as you read.

In elementary school, we first learn the four basic arithmetic operations and basic calculation rules, as well as the root formula, functions, limits, probability, and statistics, and we are exposed to numerous formulas and equations.
But if you ask people if any of them are memorable or meaningful, almost everyone will say no.
This means that if you don't understand the true meaning of mathematics, the time you spent learning mathematics will be wasted.
This book contains carefully selected formulas and equations that will help you experience the fun and beauty of mathematics, so that you will not waste time studying mathematics.
It was structured with the priority value criteria of how much fun and sustain one can have with mathematics, rather than how important it is in the curriculum or how well one can solve problems.
If math still feels too difficult and rigid, if you're afraid to even open a math textbook because of memories of being a "math dropout," I recommend that instead of memorizing long and boring formulas, you focus solely on understanding the meaning of the formulas with engaging explanations.
Math will no longer be something to be afraid of, but will become a warm friend.

An Amazing Dictionary of Math Formulas That Will Overcome Your Math Fear
If you play with formulas, math will become fun before you know it!

Formulas such as (a+b)²=a²+2ab+b² and a²-b²=(a+b)(ab) are the most familiar equations that we encounter in school mathematics.
These are often called 'multiplication expansions'.
In school, we usually learn these formulas using letters like a, b, x, and y, but in fact, it is much easier to understand the meaning of these expansion formulas if you think of them as examples using numbers that are actually used.
For example, let's assume there is a problem called 'Calculate 9999×9999.'
Some people might just set up the equation vertically and continue multiplying, struggling.
However, if you know and use this expansion formula, you can change it to (10000-1)×(10000-1), and if you expand this, you can figure out much more easily that the answer is 99980001 because it is 10000²-20000+1.
The reason for learning mathematical formulas like this is not simply to memorize equations and speed up problem solving, but to think about the background and intention of the problem from various perspectives.
By discovering these 'enjoyable aspects' of mathematics one by one, you can experience the joy of thinking mathematically and the beauty of mathematical formulas.
As you work with various formulas and equations, your fear of mathematics will disappear without you realizing it, and the beauty of mathematics hidden behind the equations will become more and more apparent.