As long as a branch of science can raise a large number of questions, it is full of vitality, and no questions indicate the termination or decline of independent development.
? Hilbert
In the mathematical world, what matters is not what we know, but how we know it.
? Pythagoras
Only by successfully applying mathematics can a science be truly perfect.
? Marx
The scientific level of a country can be measured by the mathematics it consumes.
? Rao
Cauchy
(augustin louis cauchy 1789- 1857)
It would be a serious mistake to think that it is only necessary in geometric proof or sensory evidence. Give me five coefficients,
I can draw an elephant; Give me the sixth coefficient and the elephant will wag its tail. Man must be convinced that if he adds a lot to science.
The new terms have made great progress in science by allowing readers to continue to study the wonderful things in front of them.
Chen shengshen
Mathematics is a deductive knowledge. Starting from a set of postulates and through logical reasoning, we can get a conclusion.
Science needs experiments. But the experiment cannot be absolutely accurate. If there is a mathematical theory, it is completely correct to infer. This science is inseparable from mathematics. Many basic scientific concepts often need mathematical concepts to express. So it is natural for mathematicians to have food, but they can't win the Nobel Prize.
It may be a good thing that there is no Nobel Prize in Mathematics. The Nobel Prize is so compelling that mathematicians can't concentrate on their own research.
We appreciate math, and we need math.
The purpose of a mathematician is to understand mathematics. The progress of mathematics in history is nothing more than two ways: increasing the understanding and popularization of known materials.
Descartes 1596- 1650)
I think, therefore I am.
I am determined to give up the only abstract geometry. In other words, stop thinking about problems that are only used to practice ideas. I did this to study another kind of geometry, that is, geometry aimed at explaining natural phenomena.
Mathematics is the most powerful knowledge tool left by human knowledge activities and the root of some phenomena. Mathematics is immutable and exists objectively, and God will build the universe according to the laws of mathematics.
Euler (leonhard euler 1707- 1783)
Although we are not allowed to see through the secrets of nature, so as to know the real reason of the phenomenon, some fictitious assumptions may still occur to explain many phenomena.
Because the structure of the universe is God's most perfect and wise creation, nothing will happen if there is no certain maximum or minimum law in the universe.
Zu Chongzhi (429-500)
The number of late orders is not supernatural, tangible and verifiable, and there are several that can be pushed.
Lee Liu
Things push each other, and each has its own reward, so although the branches have the same root, they only have one end. Use words to analyze the reasons, and use pictures to collapse. It's ok to do it for a week, but it's not embarrassing. People who watch it think it's more than half.
Laplace (Pierre-Simon Laplace 1749- 1827)
This is the advantage of a well-structured language, and its simplified symbols are usually the source of abstruse theories.
In mathematical science, the main tools for us to find truth are induction and analogy.
Read Euler, read Euler, he is our teacher.
Only by vigorously developing mathematics can a country show its strong national strength.
Understanding a giant's research methods is as important to the progress of science as discovery itself. Scientific research methods
It's often the interesting part.
Leibniz (gottfried Wilhelm von Leibniz 1646- 17 16)
Imaginary number is a wonderful spiritual sustenance of human beings. It seems to be an amphibian between being and not being.
Things that don't work don't exist.
After considering several things, the whole thing comes down to pure geometry, which is a goal of physics and mechanics.
Sylvester (james joseph sylvester 18 14- 1897)
Geometry sometimes seems to lead to analysis, but in fact, geometry leads to analysis, just like a servant walking in front of his master and opening the way for him.
Maybe I can claim the title of Adam in mathematics without undue demands, because I believe that more mathematical rational creations have been named by me (which has become popular) than all other mathematicians of my time combined.
Weisstras (Karl Weisstras 18 15- 1897)
A mathematician who has no talent as a poet will never be a complete mathematician.