Chapter 241: Changes in Taixing in the Sixteenth Year (I)

The West is not bright, the East is bright.

In the United Kingdom, the Netherlands introduced the "Bubble Act" because of the South China Sea bubble to curb the establishment of joint-stock companies; At a time when France was experiencing an average annual inflation rate of 15 percent and economic chaos due to the bursting of the Mississippi bubble, Songjiang in Dashun established several joint-stock entities and trading companies.

At the same time, around the changes of Dashun in recent years, the vast world is also experiencing various wonderful reactions with distant places.

Petersburg, Russia.

Ora, who survived a serious illness before, was only 28 years old and had to face the cruel reality of losing sight in her right eye.

Not long ago, he had just married a female teacher at the middle school attached to the Academy of Sciences, and in the first year of marriage, he suffered a tragic blindness, which diluted the joy of the birth of his child.

At one time, he almost succeeded Bernoulli as a professor of physiology at the Russian Academy of Sciences, and before that he also served as the chief medical officer of the Russian Navy.

It's a pity that the level of medicine at this time, neither the professor of physiology nor the chief medical officer of the Navy can save his eyes, which are blind due to the inflammation of the fever.

Now, Bernoulli, who had led him to Petersburg, had returned to Switzerland because of the chaos of the Russian political situation.

His close friend, Goldbach, served as executive secretary of the Academy of Sciences and at the Russian Ministry of Foreign Affairs.

The conjecture that originally belonged to Goldbach was brought to Petersburg a few years ago by a delegation of envoys returning from Beijing.

Now, in addition to being the head of the Department of Mathematics, Euler is also working in the Department of Geography of the Academy of Sciences at the suggestion of a close friend, where he is responsible for the first map of Russia.

Because, at last, Russia is going to comprehensively survey the border with Dashun, and Russia can finally draw a stable map of the eastern border.

However, at this time, the issue of demarcating the northwest boundary of Dashun had not been resolved, and officials from both sides were still negotiating in distant Central Asia.

The news coming from there is not optimistic about Russia.

Dashun's attitude was extremely tough, insisting that Dzungaria was Dashun's internal affair, and after Dzungaria was subordinated, Dashun would inherit the Dzungar borders as a matter of course and demand that Russia retreat on the Irtysh River.

Euler could only preside over the mapping of Petersburg, Moscow and other places.

At this time, there were a large number of books on his desk, as well as some personal letters.

One was sent by Bernoulli, who had left St. Petersburg, and it contained the results of Bernoulli's recent research.

On Fluid Mechanics and the Application of Fluid Mechanics in Ship Design

A pile of letters, sent from Dashun a few years ago to the Russian Academy of Sciences, contained several formulas, including an identity that fascinated Euler, which gave him the feeling that it had been dug out of his mind and written by someone in the far east, and that it had defined the symbolic expression of imaginary numbers.

In addition to these letters, a book of "Fundamentals of Algebra" is being written in Europe, and a basic example is being written on papyrus: a certain rich man has N sons, and the rich man will die and divide the inheritance, and the first son will receive 100 rubles and the remaining ten percent; The second son received 200 rubles and the remaining ten percent; Third ...... In the end, each son received the same inheritance, and asked how many sons the rich man had and how much he had in total.

This book is his textbook for the Mathematics Department of the Academy of Sciences, not only of the Russian Academy of Sciences, but of any other Academy of Sciences in the world.

Before he was born, Leibniz, a superstar in the world of mathematics, had a grand idea.

Universalize the Academy of Sciences throughout the world.

Leibniz conceived of five academies of sciences: the St. Petersburg Academy of Sciences; Academy of Sciences in Berlin; Dresden Academy of Sciences; Vienna Academy of Sciences; Beijing Academy of Sciences.

Leibniz wanted the Academy of Sciences not only to study science, but also to translate science into technology.

Let the whole world build an academy of sciences, communicate what is not available, so as to lead the progress of science, and finally write a set of "encyclopedias" that can explain everything, and explain the whole world with pure reason.

The Dresden Academy of Sciences was not built, and the Vienna Academy of Sciences was far away.

However, the Petersburg Academy of Sciences, which is a real inheritance under the influence of the real Leibniz, has the same system and construction ideas as the Berlin Academy of Sciences later, continuing the ideas of Leibniz's Academy of Sciences.

This may also be the reason why Euler chose to go to the Berlin Academy of Sciences after the political chaos in Russia in the future.

Under the Leibniz system, Euler also adhered to this idea that science has no borders.

This "Fundamentals of Algebra" was written by him and hopes to become a textbook for the mathematics departments of academies around the world.

To this end, he unified the chaotic mathematical symbols and unified the specifications of various symbols, hoping to lead algebra out of the shadow rule of geometry, so that algebra can really compete with geometry.

Even though he was blind in his right eye, he continued to work the work, and entrusted Goldbach with the desire to temporarily resign from his job as a professor of geography and a compiler of Russian cartography.

Since the Duke of Qi and the large delegation he led had returned to Petersburg from Paris, he hoped that before these people left Petersburg, he would be able to bring this book of "Foundations of Algebra" back to Beijing with the Chinese duke's mission as a gift to the "pen pal" whom he had never met.

In the letter, the pen pal whom he had never met hoped that Euler could help solve the problem of calculating the lunar orbit, and put forward a conjecture of "a special solution to the three-point plane orbit of the three-point problem of the three-body problem".

The reply to Euler had already been prepared, and he said that it would take him ten or twenty or even thirty years to find the answer, at least for the time being.

There was a knock on the door, and Goldbach's visit interrupted Euler's thoughts.

The hostess boiled water in a copper kettle from the Tula Arsenal and took out the tea leaves given by the envoys, and the fragrance of tea wafted through the room.

When the delegation came to attend the enthronement of Peter II, they visited the Academy of Sciences and presented the professors of the Academy with a large number of gifts.

Most of the gifts were given by Liu Yu privately, and the price may not be expensive on the Dashun side, but it is very expensive when brought here.

These high-quality tea leaves were still specially delivered to Ora, and Ola was very surprised at that time, and couldn't believe that a young man in his early twenties would be treated like this.

It's as if someone in the dark has been guided by "God" to know that Euler will achieve a great deal. In the Academy of Sciences at that time, there were many famous people who had been famous for a long time, and Euler was not even a professor of mathematics at that time, and almost became a professor of physiology.

Soon, hot tea boiled, and Goldbach casually flipped through Euler's notes and asked, "Are you going to resign from the Department of Geography?" ”

"Yes. There are still so many problems to be solved in mathematics. You don't need a full-time mathematician, at least not anymore. The lads of the Academy of Sciences can do such a job on their own. I'm blind in my right eye, and God doesn't know when I'm going to take my left eye again, so making a map is not for someone like me who is blind in his right eye. ”

"I've dedicated my right eye to geography, and I hope to be able to serve mathematics with my left eye."

Goldbach was a little embarrassed, and Euler always thought that he was blind because he was busy with mapping and observation, which was too eye-consuming.

Goldbach is not a full-time mathematician, just a ticket holder who plays with mathematics, but his admiration and understanding of mathematics is quite high among ticket holders.

Euler's explanation was very reasonable, plus he felt a little guilty in his heart, and he also knew Euler's current situation, so he nodded and said, "I will solve it." By the way, the Chinese envoys are about to leave. They collected more than a dozen wagons of books. You've seen the list they brought before, right? ”

Thinking of the list that must be obtained with the number of star catalogs, number tables, etc., Euler also thought of the question of the lunar orbit, and said with a smile: "I have seen it." It seems that the Chinese are supporters of the astronomical school, not the technocratic school. They believe that measuring the moon's orbit will appear earlier than accurate nautical clocks. ”

"I think so too. Under the conditions of wind and waves, erosion and salt water erosion, as well as thermal expansion and contraction, there is simply no accurate timepiece. ”

The controversy between the astronomical school and the mathematical school has been going on for a long time, and the metaphysical school that relies on the telepathy of raising a group of dogs with multiple births to navigate and calculate time and longitude is not recognized by anyone in the Academy of Sciences.

The astronomical school can be traced back to Galileo, including the timed longitude method of Jupiter's moons used in surveying and mapping at this time, which is a continuation of the time.

Later, Newton, Halley, Leibniz and others were all supporters of the astronomical school. It's just that now it seems that the astronomical school may be losing to the technical school.

Goldbach thought about the news he had just gotten, and although he couldn't bear to be hit, he still told Euler a very bad news.

"There are carpenters in England who have made marine clocks, which can keep accurate time in the storms and the expansion and contraction of heat and cold at sea. It is said that the error at sea is only four seconds per day. ”

"There are patents in the UK, and the technology is not disclosed."

"It seems that this carpenter, who did not go to college, is going to defeat Newton."

Ola was a little stunned, and the remaining left eye blinked a few times, unable to believe it.

In such an era, there are really people who can make a marine clock that can resist the turbulence of the sea, salt water, thermal expansion and contraction?

The news had just arrived, and Goldbach had just learned about it.

He now works in the Russian Foreign Office, as a court teacher to the late Tsar, and as a German.

After Anna's coup, the growing German party in Russia, he was in a good position, and he got such news earlier than Euler, who had been engaged in research at the Academy of Sciences.

This news made Ola very depressed.

Things are already obvious.

The astronomical school wanted to defeat the technical school by accurately calculating the lunar orbit.

Although Euler didn't know the word "self-a.com", his extreme confidence in his own mathematical skills still gave him a kind of self-sacking emotion.

If the problem of lunar orbit is not solved, it is impossible for the astronomical navigation school to achieve breakthrough results.

Now, after more than 100 years of accumulation, the accurate star catalog of the northern and southern hemispheres has finally been made public because of the death of Newton.

All the pre-work is ready, and there is only one final kick left, which is the orbit of the moon.

As long as this mathematical problem is solved, a person who understands mathematics can rely on an astronomical calendar, look up at the starry sky and the moon, and know the longitude and latitude of this place.

That's when people can say, I know where I am.

Goldbach knew that Liu Yu had written a letter asking for advice on the orbit of the moon and asked about the progress of Euler's research, but Euler could only shake his head.

"It's a hard job, and it's going to take at least a few years. But I think that the astronomical navigator will eventually win in longitude measurement. Because, an excellent craftsman's craft, it is difficult to promote. Mathematics, on the other hand, can be generalized. In the end, navigating the sea still depends on mathematics. ”

Euler did not know that the astronomical school would eventually fail, and it was hard to imagine that clocks with a daily error of microseconds would one day become common.

So now, he's confident.

Goldbach was also full of reverence for mathematics, and certainly did not want the top mathematicians to lose to an English carpenter who had never gone to school.

After a few words of relief from his old friend, Goldbach spoke about the Dashun Mission, which was his business in the Ministry of Foreign Affairs.

"This time, the Chinese side was tough on the issue of demarcation of the border, and even offered to make a detour to the Ottomans, and even to meet the Kalmyk chieftain."

Her Majesty knew that this was blackmail, but she had to make concessions. The war of the Chinese in Central Asia is amazing. You can't imagine that five years ago they were an army at the level of a thirty-year war, and now they have tactics that suit them well. They have a larger population, higher taxes, and it's easy to reform. ”

"The envoy has brought back an oil painting, perhaps you should take a look at it. Liu Yu crossed the Altai Mountains, and the political flavor was too strong, but I have to say that it was very exciting. ”

He rode his warhorse, pointing to the hazy sky, beside him the soldiers pushing the cannons. This is more like a declaration of rights and interests in Central Asia. ”

"Your pen pal, like me, is not a pure mathematician, but more like a man in officialdom. However, he is very good at mathematics, and I have read the letter to you, and the conjecture about prime numbers is very interesting. ”

"The Chinese count is still mediating relations with France. Perhaps in order to intimidate, their return from Paris did not hide the news that France was going to send a mission to China. ”

"Russia's Diplomatic Catastrophe."

Goldbach was concerned about the war of the Polish succession, which had just ended, and the imminent resumption of Russia's declaration of war on Turkey.

Euler didn't care about any of this, but thought of something else.

If the political situation in Russia is chaotic again, he may be able to go to China, where there is a strong mathematical atmosphere, judging by the letter...... At least, according to the letter.

Moreover, in private letters, Liu Yu offered a very high price, which was enough to ensure a prosperous life for him, his wife and children.

As for the French, they were diplomatically with Dashun, and Euler did not pay attention.

After sending Goldbach away, Euler continued to bury his head, hoping to complete the revision of the "Foundations of Algebra" as soon as possible, and publish and pass it on to the Great Shun before the return of the Great Shun envoys.