This is the mathematics department of Moscow University.
First, introduce the history of the rise of Russian mathematics.
Long ago, Russia was a small principality. Of course, there won't be any math department. Follow the Mongolian khanate every day and count the sheep clearly. That's a mathematical genius.
By the time of Peter the Great, Russia began to learn from the West. One of them is to introduce a large number of mathematicians from western Europe to work in St. Petersburg. Among them is the famous Goldbach, who put forward Goldbach's conjecture. Originally a Prussian, he was recruited to Russia and died in Russia.
And Euler. Originally from Switzerland, Euler was the best mathematician in18th century. He was very prolific and wrote more than 800 papers a year. After being invited to Russia.
And the Bernoulli family, the Swiss family of mathematics. Their family has trained eight mathematicians for three generations. Many people have also been invited to St. Petersburg.
These big cows got together and made a lot of mathematical achievements, which also created the St. Peter School in mathematics.
Under such edification, Russia also produced its own master of mathematics. Russians are the most learned people, and they have their own unique views. Russians are slow to do everything, but once they are allowed in, they can often polish you and be good at developing their own system.
For example, a Chebyshev came out of Russia. Russian aristocrats used to be generals at home, but because of their natural disabilities, they are inconvenient to move and like to think. When he thinks, he becomes a mathematician He has a high academic level and is also a great mathematics educator, who has trained a group of mathematicians for Russia.
At this time, Russian mathematics began to rise.
During the Soviet period, Petersburg, the mathematical center of Russia, moved to Moscow. Because of the executive order, top Russian mathematicians gathered in Moscow, which finally opened the golden age of Russian mathematics. There are a lot of big cows.
For example, Kantonovic, winner of the Nobel Prize in Economics. Andre Andrey Kolmogorov, an all-rounder in mathematics, and Andre Andrey Kolmogorov, a great bull in probability theory.
At this time, Moscow became the world's top mathematics center, comparable to Europe and America, and even leading. There were many super mathematicians in Russia in the 1960s.
For example, grigory perelman, a Russian genius who proved Poincare conjecture. In the Millennium, the United States announced seven difficult problems, and announced that whoever could solve one of them would take away one million dollars.
Grigory perelman solved a problem, but didn't get a million dollars. He said that he was not interested in money, but only solved a math problem and didn't want to be put in the spotlight by the public.
He solved Poincare's conjecture that any simply connected closed three-dimensional manifold must be homeomorphic to a three-dimensional sphere.
The meaning of this question is beyond the comprehension of ordinary people.
Maxim kontsevich, who won all the world-class mathematics prizes, and so on.
At present, Russians are also frequent visitors to the champion seats in international mathematics competitions.
In the acm programming contest in the world, in recent ten years, Russia won the most titles, followed by China.
Some people say that in human genes. N-series and O-series perform better in mathematics, Russian is N-series, and China is O-series.
Why is Russian mathematics enduring?
It has something to do with Moscow University's insistence on mathematics. Once you have a foundation, Moscow will persevere in mathematics. Moscow University has a math summer camp every year, which is the most popular summer camp. Because you can hear the lectures of the top mathematicians in the world with your own eyes.
The mathematics department of Moscow University is also the most difficult. If you want to enter this department, you must have real talent and practical learning to work hard. It is extremely difficult for senior officials to rely on relationships with the children of rich people.
These ensure the high level of Russian mathematics.
Therefore, Russia dares to say that as long as the department of mathematics in Moscow is still there, Russia will definitely rise one day.
But there is a problem that Russian industry can't keep up with the research of mathematics, and more and more mathematicians may need to go abroad to do research, especially engineering research.
For example, there are many Russian mathematicians in China. Like Huawei, there are many mathematicians from Russia.
1999, Huawei established a special algorithm research institute in Russia. Huawei's lead in 5G is due to a Russian mathematician.
Ren revealed that Huawei has a Russian boy who usually does nothing and doesn't fall in love. One day, he just played computer and did math. Suddenly one day, he told Ren that he had broken through the algorithms of 2G and 3G, and made Huawei's technology ahead of Ericsson, thus opening up and occupying the European market. Now Huawei has the highest market share, not in Africa, but in developed countries such as Europe.
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It is certainly a good thing that Russian mathematicians are used by China. However, if China wants to realize its dream of becoming a powerful country through science and technology, it must also have its own basic scientific research, and a top mathematics group like Moscow School will emerge in China.
Ren Zeng said, "Huawei's current level still stays at the innovation level of engineering science such as engineering teaching and physical algorithms, and has not really entered the basic theoretical research. With the limit of Shannon theory and Moore's Law approaching, the theory of large flow and low delay has not been created, and Huawei has felt that the future is boundless and it can't find its direction. Huawei is advancing in the maze. Great innovation is the survival law of no man's land. Without theoretical breakthroughs, technological breakthroughs and a large amount of technological accumulation, explosive innovation is impossible. "
To achieve this goal, we must start from our generation and train the next generation.
There is a concept that everyone thinks that mathematics must be done by gifted children.
Actually, it's not. Russian mathematician and educator Colmo Golov (анколмогоров) thinks that the view that mathematics needs special talents is exaggerated in most cases, and students think that mathematics.
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What kind of teacher do you need? Kolmogorov said: First, his lectures are clever, and he can attract students with examples from other scientific fields, enhance understanding and cultivate the ability to integrate theory with practice. 2. Attract students to exercise with clear explanations and extensive knowledge. 3, be good at teaching students in accordance with their aptitude.
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The most important thing is not just to talk about mathematics, but to talk about learning with things from other scientific fields, so as to attract learning, enhance understanding and cultivate the ability to integrate theory with practice.
Therefore, today I would like to recommend a set of things to help children learn mathematics from various subjects: Wonderful Mathematical World, the iconic book of STEAM education in Britain.
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This is a famous set of books in Britain. It has been selected for the British Council Book Award and is a recommended series for British schools and families.
It is to talk about mathematics through the four disciplines of nature, universe, science, art and physical education, to link everything with mathematics and explain the mystery of mathematics in everything.
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Four sets of books and one * * * reveal more than 300 mathematical phenomena, making mathematics get rid of boredom and become vivid.
For example, why the animal's body is symmetrical.
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Why do sunflower seeds of pinecones and sunflowers still contain Fibonacci series?
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What mathematical laws are hidden in the composition of a photo, which makes some photos look beautiful, while others are not?
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The knowledge points here are all the knowledge points that primary schools and junior high schools will come into contact with, but they are not traditional explanation methods, but examples? Mathematical operation, unit conversion, geometry, data and statistics, parabola and other mathematical concepts.
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There are corresponding practical problems behind each knowledge point for children to try to solve. For example, calculate the perimeter of the basketball court.
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Test your height ratio to see if it reaches the golden ratio.
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Another example is to solve the architectural problems of bridges, which was originally the subject of architects, but in this book, teaching children to solve such problems naturally gives them a sense of accomplishment and interest in mathematics.
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Four sets of books in four aspects such as the universe. Will explain astronomical knowledge, and then talk about the mathematical laws behind it.
For example, what is the moon, how much is missing and how to measure it.
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Another example is how to calculate whether there are aliens in the universe through mathematical formulas.
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And our common periodic table of chemical elements, why do you want to arrange it like this.
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It can be said that there are many knowledge points here. Children are not only learning mathematics, but also learning the ultimate law of everything.
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Another example is math in science.
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It talks about the use of triangles. From steel bridges to Disney domes to skyscrapers, you can see the application of triangles.
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Another example is mathematics in nature.
I like to use animal habits to explain the mathematical truth behind it. For example, how much fat animals need to resist the cold.
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Mathematics in art and physical education.
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What mathematical laws are hidden in the famous paintings, such as The Last Supper, Lunch on the Grass by Manet and Mona Lisa's Smile by Leonardo da Vinci?
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How to predict penalty more effectively in sports?
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What is the structure of snowflakes?
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The pictures inside are very beautiful.
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If you can explain it with pictures, use pictures. If the explanation is not clear, there are professional charts and words to explain.
This set of books is the only one I have seen on the market that talks about mathematics in other disciplines. It also conforms to the educational methods of Russian mathematicians.
The first volume includes four books: mathematics in nature, mathematics in the universe, mathematics in science, mathematics in art and sports.
Decrypt more than 300 mathematical phenomena in life, covering most mathematical knowledge points in primary and secondary schools. Especially suitable for children aged 6 to 12.
Children read this book, which is awesome. Everything in the world will be a math problem in the eyes of children. He will really think about the essence of mathematics and then ask his own questions. So that he can establish his own mathematical thinking. First of all, mathematics is not abstract and boring to him. Secondly, his knowledge is extensive. From mathematics to physics to astronomy to biology to architecture, he can draw inferences and learn the rest.
Therefore, this set of books is particularly good. It is the only book I have ever seen that talks about mathematics with real-life examples. It is very rare. And now the price is not expensive, four books together, as long as 62, and one more math puzzle book.
Now sign up for an extracurricular math class, and each class costs 200 to 300. Don't rush to sign up for this class. You spend 62 yuan to buy such a set of books for your children, so that they can understand what mathematics is. This is better than any other course. See the effect. This is definitely better than tens of thousands of training courses.
You can click on the column below to buy books that children like to read and you will never regret: