In the field of mathematics, the art of asking questions is more important than the art of answering them. Cantor

As long as a branch of science can raise a large number of questions, it will Full of vitality, the lack of problems indicates the end or decline of independent development.

　Hilbert

In the world of mathematics, what matters is not what we know, but how we know it.

Pythagore Lars

A science can only achieve true perfection when it successfully uses mathematics.

　Marx

The scientific level of a country can be measured by the mathematics it consumes.

Rao

Kauchy< /p>

　(Augustin Louis Cauchy 1789-1857)

It would be a serious mistake to think that necessity exists only in geometric proofs or in the evidence of sense. Give me five coefficients and I will draw an elephant; give me a sixth coefficient and the elephant will wag its tail. One must be convinced that science has made great progress if he is adding many new terms to it and leaving the reader to study the wonderful and indescribable things that lie before them.

Chen Shengshen

Mathematics is a deductive science, which is based on a set of postulates and logical reasoning to obtain conclusions.

Science requires experiments. But experiments cannot be absolutely accurate. If there is a mathematical theory, it all depends on inference, which is completely correct. This science cannot be separated from mathematics. Many basic concepts of science often require mathematical concepts to represent them. Therefore, it is natural that mathematicians can earn a living but cannot win Nobel Prizes.

There are no Nobel Prizes in mathematics, which is probably a good thing. The Nobel Prize is too high-profile and distracts mathematicians from focusing on their own research.

We appreciate mathematics, we need mathematics.

The purpose of a mathematician is to understand mathematics. Historically, mathematics has progressed in two ways: increasing understanding of known materials, and extending the scope.

Rene Descartes (1596-1650)

I think, therefore I am.

I am determined to give up that mere abstract geometry. That is to say, stop thinking about problems that are just for thinking. I did this in order to study a different kind of geometry, one whose purpose was to explain natural phenomena.

Mathematics is the most powerful knowledge tool left behind by human knowledge activities, and it is the root of some phenomena. Mathematics is immutable and exists objectively. God will build the universe based on mathematical laws.

Euler (Leonhard Euler 1707-1783)

Although we are not allowed to see through the secrets of the nature of nature and thus understand the true causes of phenomena, such a situation may still occur: a certain Fictional hypotheses are sufficient to explain many phenomena.

Because the structure of the universe is the creation of God, the most perfect and wisest, therefore, if there were not some great or minimal law in the universe, nothing would happen at all.

zu Chongzhi (429-500)

The numbers in late sequence are not miraculous, they are tangible and can be examined, and there are numbers to deduce.

Liu Hui

Things are similar to each other, and each has its own purpose. Therefore, although the branches are divided, they have the same origin and origin, just one end. The principles are analyzed in words and dissected with diagrams. The common people can also summarize and understand, and they are clear but not obscuring. Those who have read it have thought more than half of it.

Pierre Simon Laplace (1749-1827)

This is the benefit of a well-structured language. Its simplified notation is often the source of profound theories.

In the science of mathematics, our main tools for discovering truth are induction and analogy.

Read Euler, read Euler, he is the teacher of all of us.

Only when mathematics flourishes in a country can its national strength be demonstrated.

Knowing the research methods of a giant is no less useful to the progress of science than the discovery itself. The methods of scientific research are often a part of great interest.

Gottfried Wilhelm von Leibniz 1646-1716 .

Things that don’t work don’t exist.

After considering those few things, the whole thing comes down to pure geometry, which is an aim of physics and mechanics

Sylvester (James Joseph) Sylvester 1814-1897)

Geometry sometimes seems to be ahead of analysis, but in fact, geometry precedes analysis, just like a servant walking in front of his master, opening the way for his master.

Perhaps I may not unduly claim the title of mathematical Adam, for I believe that I have named more mathematically rational creatures (which have become popular) than all other mathematicians of my generation put together. many.

Karl Weierstrass (Karl Weierstrass 1815-1897)

A mathematician without some talent as a poet will never become a complete mathematician.