11th: The 10 greatest equations in history

11th: The 10 greatest equations in history

The main purpose of the book is to understand the meaning of the most beautiful formula of the Euler formula, the formula is more and more difficult, basically do not look carefully.

1. Pythagorean theorem (Pythagoras) c2=a2+b2

The following chart is a classic graphic of Euclid's "geometric original" proof.

In this site http://www.cut-the-knot.org/pythagoras/index.shtml gave more than 100 kinds of proof methods, who have the patience to read, estimated geometry to learn.

2. Newton's second Law F=ma

A freshman physics textbook comes up with this famous theorem.

3. Newton's Law of universal gravitation FG=GM1M2/R2

The story of Newton's Apple is estimated to have been heard.

4. Euler Formula Eiπ+1=0

The God formula with mathematical beauty, E and π are irrational numbers, I is the square root of 1, is an imaginary number, 0 and 1 are the simplest integers, and the Euler formula ties them together. I read the purpose of this book is to understand the meaning of the formula, the previous learning complex function, hazy to hear its meaning, has not been understood.

In fact e=2.71828 ... is the sum of the following infinite ordinal numbers.

When Euler studies trigonometric functions, it is found that trigonometric functions can also be represented by infinite series.

He introduced the imaginary unit I and put the above 2 series together.

This equation establishes a deep connection between the exponential function and the trigonometric functions. When x=π, cosπ=-1,sinπ=0, so eiπ=-1 or eiπ+1=0.

The meaning of the Euler formula on the graph:

Each of the above is a vector on the complex plane, that is, I is interpreted as a counterclockwise rotation of 90 degrees. The first 1 indicates a vector that arrives at (0, 0) points along the x-axis (1, 0), and the 2nd represents the forward π units in the vertical direction. The 3rd is to walk to the left Π2/2 a unit. Countless series indicate that the last point converges at (-1, 0) of this point. I finally understood the geometrical meaning of Euler's formula!

5. Second law of thermodynamics S '-s>=0

s represents the entropy before, S ' represents the entropy after a period of time. The entropy of the whole world changes in the direction of reaching the maximum value. There was no notion of this before, and there was a little bit of understanding that the idea was mentioned in several books.

The first law of thermodynamics means "the total amount of energy in the world is constant".

I can not understand the following equations, put the formula here. If you can read it, it's definitely a physicist.

6. Maxwell Equation Group

I can't read the equation. It is said that it fully describes the physical phenomena, including electromagnetics.

7. Einstein's mass-energy equation E=MC2

This also does not understand: energy and quality can be converted to each other. Energy equals mass multiplied by the speed of light squared.

8. Einstein's generalized relativistic equation

Time and space determines how matter moves, and matter determines how spacetime bends.

9. Schrodinger equation

10. Haisen Promoting uncertainty theorem

The greatest formula in the physics world of the British scientific journal is slightly different from the book:

The Maxwell equation set (the Maxwell's equations)

No.2 Euler's formula (Euler's Identity)

No.3 Newton's second law (Newton ' s Second laws of Motion)

No.4 Pythagoras/Pythagorean theorem (Pythagorean theorem)

No.5 equation of mass Energy (Mass–energy equivalence)

No.6 Schrodinger equation (the Schrödinger equation)

No.7 1+1=2

No.8 de Broglie equation set (the de Broglie relations)

No.9 Fourier transform (the Fourier Transform)

No.10 Circle Circumference formula (the Length of the circumference of a circle)

11th: The 10 greatest equations in history