A famous lecture on mathematical problems. This is an important speech in the history of mathematics. In the preface and conclusion of his speech.
In this paper, he expressed many incisive opinions on the significance, origin, development process and research methods of mathematics. The whole speech
The text is 23 mathematical problems that he put forward according to the achievements and development trend of mathematics research in19th century.
This topic involves many important fields of modern mathematics. /kloc-for 0/00 years, these problems have been stimulating mathematicians' strong research interest.
Fun. After 100, nearly half of these problems have been solved or basically solved, and some problems have made great progress.
Exhibition, but it has not been finally solved, such as Riemann conjecture, Goldbach conjecture, etc.
100 years have passed. Looking back now, there are many comments on the 23 questions raised by Hilbert. a lot of people
People think that these problems have greatly promoted the development of mathematics in the 20th century. Of course, some comments have pointed out their shortcomings.
For example, these 23 questions failed to include the contents of topology and differential geometry, which became frontier disciplines in the 20th century.
Mathematical problems, except mathematical physics, rarely involve applied mathematics and so on, and certainly do not think of the computer craze in the 20 th century.
Exhibition and its great influence on mathematics. In fact, the development of mathematics in the 20th century far exceeded Hilbert's prediction.
Wai.
Hilbert is one of the three great mathematicians who stand on the mathematical boundary of19th century and 20th century, and the other two are.
Poincare (1854- 19 12) and Klein (1849- 1925). Their Mathematical Thoughts and Their Contributions to Mathematics
It embodies the brilliance of mathematics in the19th century, and also shines on the road of mathematics in the 20th century.
Hilbert gave a speech at the turn of the last century, and now a new century has begun. Let's take another look.
Look at his speech, some of his words still apply. For example, at the beginning of the speech, he said, "Who among us doesn't want to uncover it?"
The curtain of the future, look at the prospects and mysteries of our scientific development in the next century? Our next generation
What special goals will the main mathematical thoughts pursue? In the broad and rich field of mathematical thought, the new century will bring
What new methods and achievements will there be? He also said: "History tells us that the development of science is continuous. I
As we all know, every era has its own problems, either solved later or because it is useless.
Instead, it was put aside and replaced by new problems. Because the end of a great era not only urges us to look back,
Lead our minds to the unknown future. "
The 20th century is undoubtedly a great era of mathematics, and the mathematics in 2 1 century will be more brilliant. "Every era.
When the 20th century came, Hilbert put forward 23 problems that he thought were those of that century. these
Problems have greatly promoted the development of mathematics in the 20th century, but the achievements of mathematics in the 20th century far exceeded what he mentioned.
Can't do it. So what is the problem of 2 1 century? Hilbert put forward these ideas at the International Congress of Mathematicians in Paris.
He was only 38 years old when the problem happened, but he was already recognized as one of the most respected top mathematicians in the world at that time. As we all know,
The 2002 International Congress of Mathematicians will be held in Beijing, China, which is the first time that the International Congress of Mathematicians has been held in a developing country.
Open, so at the turn of the new century, will someone with high prestige like Hilbert mention it at the meeting?
How does he view the mathematical problems of 2 1 century or look forward to the mathematics of 2 1 century in other forms? Over the years, no
2 1 century, few mathematicians put forward their own mathematical problems, but they are often "different people have different opinions."