Mathematics is an infinite science. ——Hermann Weyl
Some beautiful theorems in mathematics have the following characteristics: they are easily summarized from facts, but the proof is difficult. Hidden extremely deeply. Mathematics is the king of science. ——Gauss
In the field of mathematics, the art of asking questions is more important than the art of answering questions. ——Kang Muer
< p>As long as a branch of science can raise a large number of questions, it is full of vitality, while the lack of questions indicates the termination or decline of independent development.——Hilbert
In the world of mathematics, what matters is not what we know, but how we know it.
——Pythagoras
A science can only succeed if it succeeds Only when mathematics is used properly can we achieve true perfection.
——Marx
The scientific level of a country can be measured by the mathematics it consumes.
——Rao
Cauchy
(Augustin Louis Cauchy 1789-1857)
If you think that it can only be found in geometric proofs or in sensory evidences Of course, that would be a serious mistake. 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 allowing readers to proceed to study the wonderful and indescribable things that lie before them.
Chen Shengshen
Mathematics is a deductive science, in which conclusions are obtained through logical reasoning from a set of postulates.
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 make 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.
Descartes
(Rene Descartes 1596-1650)
I think, therefore I am.
I am determined to abandon geometry as a mere abstraction. 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, it is still possible This happens
Situation: certain fictional hypotheses are enough to explain many phenomena.
Because the structure of the universe is the creation of God, the most perfect and wise, therefore, if there is not some extremely
or extremely small law in the universe, then Nothing will happen at all
Zu Chongzhi
(429-500)
The numbers in late sequence are not miraculous, they are tangible and can be detected, and there are numbers that can be deduced .
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, and they only originate from one end. The principles are analyzed in words and disintegrated using diagrams.
The common people can also make reservations and be able to make a thorough understanding.
Laplace
(Pierre Simon Laplace 1749-1827)
This is the benefit of a well-structured language, its simplified notation is often profound source of theory.
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 of great interest.
Leibniz
(Gottfried Wilhelm von Leibniz 1646-1716)
Imaginary numbers are a wonderful sustenance of human beings. They seem to exist and not exist. an amphibian.
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 before the Lord
It is the same as the front of a person, it is to open the way for the master.
Perhaps I may not unduly claim the title of Mathematical Adam, since I believe that the creation of mathematical reason is named by me (already in general use) more than by any other of my contemporaries. Mathematicians put together even more.
Weierstrass
(Karl Weierstrass 1815-1897)
A mathematician without some talent as a poet will never become a complete mathematician. Numbers rule the universe. ——Pythagoras
Mathematics, the queen of science; number theory, the queen of mathematics. ——C.F. Gauss
God created the integers, and all other numbers are man-made. - L. Kronecker
God is an arithmetician - Jacobi
A mathematician who is not somewhat poetic can never become a complete mathematician. ——Weierstrass
The science of pure mathematics, in its modern stage of development, can be said to be the most original creation of the human spirit. ——Huaidehai
Countability rules the entire world of quantity, and the four arithmetic operations can be regarded as all the equipment of a mathematician. ——Maxwell
Number theory is the oldest branch of human knowledge, yet some of its most profound secrets are closely connected with its most ordinary truths. ——Smith
Infinite! No other question has touched the human heart so deeply. ——D. Hilbert
Every new group discovered is mathematical in form because we can have no other guidance. ——C.G. Darwin
The great architecture of the universe is now beginning to appear in the face of pure mathematicians. ——J.H. Kings
It is a reliable rule that when the author of a mathematical or philosophical work writes in vague and esoteric terms, he is talking nonsense. ——A.N. Whitehead
Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will wag its tail. ——A.L. Cauchy
Pure mathematics is the magician’s true magic wand. ——Novales
Whoever does not know that the diagonals of a square and the same sides are incommensurable quantities is not worthy of the title of human being. ——Plato
The simple formation of whole numbers has been the source of new life for mathematics for centuries. ——G.D. Birkhoff
The more detached a mathematician is, the better. ——Anonymous
The incomparable permanence and omnipotence of mathematics and its independence from time and cultural background are direct consequences of its nature. ——A? Ebo
It is a reliable rule that when the author of a mathematical or philosophical work writes in vague and esoteric terms, he is talking nonsense. ―A.N. Whitehead
I have heard people say that I am an opponent of mathematics and an enemy of mathematics, but no one respects mathematics more than I do, because it has accomplished achievements that I have never achieved. .
——Goethe
The essence of mathematics lies in its freedom. ― Cantor
In the field of mathematics, the art of asking questions is more important than the art of answering them. ― Cantor
No question can touch people's emotions as deeply as infinity. Few other concepts can stimulate the intellect to produce fruitful thoughts like infinity. However, there is no other The concept of can be as demanding of elucidation as infinity. ―Hilbert
Numbers rule the universe. ——Pythagoras
Mathematics, the queen of science; arithmetic, the queen of mathematics. ――Gauss
Mathematics is an infinite science. ——Herman Weyl
Problems are the heart of mathematics. ——P.R. Halmos
As long as a branch of science can raise a large number of questions, it is full of vitality, while the lack of questions heralds the termination or decline of independent development. ―Hilbert
Some beautiful theorems in mathematics have this characteristic: they are easily summarized from the facts, but the proofs are extremely hidden. ―Gauss
Mathematicians are like lovers...give a mathematician the minimum principles, and he will draw a conclusion that you must agree with, and from this conclusion he will draw another conclusion. ― Fontanelli
Arithmetic (Arithmetic) is the oldest, perhaps the most ancient, branch of human knowledge; yet some of its most profound secrets are closely connected with its most prosaic truths. ―H.J.S. Smith
As strange as it may sound, the power of mathematics lies in its avoidance of all unnecessary thinking and its astonishing savings in mental effort. ― Ernst Mach
But there is another reason for mathematics’s great reputation: it is mathematics that gives the various precise natural sciences a degree of reliability that they would not have achieved without mathematics. sex. ―Albert Einstein
Mathematics is a tool particularly suited to dealing with abstract concepts of any kind, and its power in this field has no limits. For this reason, a book about emerging physics, as long as it is not a purely experimental description, is essentially a mathematical book.
―P.A.M. Dirac
To create a healthy philosophy, you should abandon metaphysics, but become a good mathematician.
——Bertrand Russell
Every new group discovered is mathematical in form because we can have no other guidance. ——C.G. Darwin
God is a geometer. ―Plato
God is an arithmetician. ——C.G.J. Jacobi
Mathematics is the most precise science, and all its conclusions can be absolutely proven. But that's the case only because mathematics doesn't try to draw absolute conclusions. All mathematical truths are relative and conditional.
——Charles Protoeus Steinmetz
Mathematics is a tool of knowledge and the source of other knowledge tools. All sciences that deal with order and measurement are related to mathematics. ― Descartes
Mathematical methods penetrate and dominate all theoretical branches of natural science. It has increasingly become the primary measure of scientific achievement. ——Von Neumann