Chapter Seventy-Six: Mathematical Formulas
"I don't have the time or interest to discuss philosophy with you, so let's talk about the equation of 1+1=2."
"On 15 May 1971, Nicaragua issued a set of 10 stamps entitled "Ten Mathematical Formulas That Changed the Face of the World", selected by a number of eminent mathematicians for the most influential formulas in the world's development. These ten formulas not only benefit mankind, but also have a typical mathematical beauty! ”
The stamp "1+1=2" is the first of this set of stamps, which is the basic formula for human understanding of quantity at the beginning. It was this formula that the ancestors of mankind began with this formula, stacking stones, counting shells, branches, and bamboo chips, then counting the scores, counting the knots, etc., until later creating words, numbers, and counting tools such as abacus, calculations, calculators, etc. It all started with the basic law of finger counting, because man has ten fingers, and the calculation is aided by the fingers. Undoubtedly, it was this fact that naturally gave birth to the decimal system that we are now familiar with. The birth of notation and the decimal system was a leap forward in the history of civilization. ”
So you can say that this formula is the source of all mathematics, and the reason why human beings have been able to gradually move from the primitive era of drinking blood to today's era of scientific and technological progress and civilization development is the source of everything. In other words, our algebraic geometry starts from this formula. ”
"1+1=2, I think even if I don't explain it, you should understand what I'm talking about, right?" Junxin stopped and looked at the sophomores in the audience.
Suddenly, a student in the audience raised his hand and shouted, "Teacher? ”
Jun Xin was a little surprised, what he didn't expect was that at this time, someone would stand up and ask him questions in court. However, Junxin is still very happy that someone can stand up, otherwise in front of a group of peers, even if his mental age is much older than them, he is not used to singing a one-man show here alone, and he doesn't even have a person who really responds.
"Oh, do you have any questions about this classmate?"
"Teacher, since you mentioned the ten formulas, can you tell us what the rest of the formulas are?"
Jun Xin was stunned, he originally just wanted to extend it to algebraic geometry by the way through the formula of one plus one equals two, and he didn't think about explaining the remaining nine formulas. However, Jun Xin thought about it for a while, and felt that since someone asked a question, he would try his best to be satisfied, so he nodded and said, "Since this classmate proposed it, then I will also talk about the remaining nine formulas by the way." To be clear, I don't actually agree with some of the formulas being included in them, so I'm only offering the official Nicaraguan version. ”
"The second formula is the Pythagorean theorem, which may not be known to the general public, but I think you should know that it is the famous Pythagorean theorem. Anyone who has studied mathematics knows this theorem, so I won't explain why there are more than 500 ways to prove it in the world. ”
"The third formula is Archimedes' principle of leverage, from which Archimedes uttered a bold statement: Give me a fulcrum, and I can lift the whole earth. Although Archimedes could not find such a fulcrum, what Archimedes said fully illustrates the greatness of this formula. ”
"The fourth is the Napier exponent and the logarithmic relationship formula. The greatness of this invention lies in Galileo's words: Give me time, space and logarithms, and I can create a universe. ”
"The fifth formula is the gravitation theorem, this formula you should have been exposed to in high school physics, and even some of them should have been exposed to in junior high school, the absolute classics of classical physics, and of course, the classic is, the apple that hit Sir Newton, was it eaten by Newton?" As soon as Junxin's words fell, there was a burst of laughter in the classroom.
The corners of Junxin's mouth were crooked, and he said the sixth formula with a smile: "
Maxwell's equations. Anyone who can understand these formulas will surely feel a cool breeze behind them - if there is no God, how can such a perfect equation be explained? This set of formulas is a combination of Gauss's law of electricity, Gauss's law of magnetism, Faraday's law, and Ampere's law. A more modest assessment is: "In general, any electromagnetic phenomenon in the universe can be explained by this system of equations." Later, Maxwell predicted the existence of electromagnetic waves from this set of formulas using only pen and paper calculations. Don't we always like to make up stories, such as Einstein's childhood because of a certain stimulus that led him to study hard and serve his country? In fact, this stimulus is what you see as this system of equations. It is precisely because this system of equations perfectly unifies the entire electromagnetic field that Einstein always wanted to unify the gravitational field in the same way, and put the two forces of macroscopic and microscopic forces in the same set of equations: the famous "grand unification theory". Einstein didn't get out of the tunnel until he died, and if we did, we would see God Himself on the other side of the tunnel. Speaking of this, Jun's confidence moved, and it seemed that the superstring theory was going to be put on the agenda as soon as possible.
"The seventh formula is Einstein's mass-energy equation, I don't explain too much about this formula, just two sentences: the first sentence is that if all your weight is converted into energy, Taiwan will be recovered; The second sentence is that this is how the atomic bomb was made. ”
"The eighth formula is the De Broglie formula, there is a saying that de Broglie was originally born in a duke and noble family, and he can be regarded as a famous family. I studied history, but then I thought physics seemed to be very powerful, so I went to study physics again, but I was about to graduate with a doctorate, and my thesis was not yet ready, and finally I remembered that a great god named Albert Einstein said that light is a kind of wave and a particle. So he opened his mind and replaced the light with all the matter, and the result was such an equation. He also won the Nobel Prize in 1929. ”
"The ninth formula is the Boltzmann formula, which means, what do you do when you clean the room so cleanly? Anyway, according to the Boltzmann formula, it is getting more and more messy. The scientific explanation is the principle of entropy increase. ”
"The last formula is Tsiolkovsky's formula, and what is this formula about? It's Tsiolkovsky that's about it. It was he who raised the possibility of using rockets for interstellar navigation and launching satellites. And the relationship between the structural characteristics of the rocket and the flight speed was established, that is, the famous Tsiolkovsky formula. This formula is famous because it is because it is with it that mankind began to use rockets into space. In addition, this person once famously said: The earth is the cradle of mankind, but people cannot stay in the cradle forever. ”
"That's it for the ten formulas, and what I think of them, do you have any questions?" Junxin asked.
"Teacher, you just said that you don't quite agree with its screening, so what do you think?"
Jun Xin said: "I am very convinced that some formulas are selected, such as Maxwell's equations, and some I think are not as important as others. Take the Boltzmann formula, for example. ”
"In fact, there are still a lot of formulas that can be selected, the formulas above are just references, and they are too biased towards physics, then, I have a small homework assignment, after you end this class, select the top ten mathematical formulas that you think are the most important, and give your own understanding, three days later, I want to see your homework, no problem, right?"
"Nope!"
"Alright, the vignette is over, let's get down to business!"