"A person is like a fraction. His actual talent is like the numerator, and his valuation of himself is like the denominator. The larger the denominator, the smaller the value of the fraction." --- Thor Stein
"The essence of mathematics lies in its freedom." ---- Cantor
"In the field of mathematics, the art of asking questions is more important than solving problems. The art of infinity is more important." ---- Cantor
"No question can touch people's emotions as deeply as infinity, and few other concepts can touch people's emotions as deeply as infinity. Stimulates the intellect to fruitful thoughts, and yet no other concept demands so much elucidation as infinity." ---- Hilbert
"Mathematics is the science of the infinite"- ---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 It brings vitality, while the lack of problems heralds the termination or decline of independent development." ----Hilbert
"Some beautiful theorems in mathematics have such characteristics: they are easily summarized from facts, But the proof is extremely hidden." ---- Gauss
"Time is a constant, but for those who are diligent, it is a 'variable'. People who calculate time by hours have 59 times more time.” ---- Rybakov
“You must dare to do subtraction in learning, that is, subtract the parts that have been solved by predecessors and see what is left. There are those problems that have not been solved and we need to explore and solve them.”----Hua Luogeng
“Genius = 1% inspiration and 99% sweat and sweat.”——Edison
"Use the time to think about what you did during the day, whether it is a 'positive sign' or a 'minus sign'. If it is ' ', it means progress; if it is '-', you have to learn lessons and take measures." - ---Dimitrov
"When Einstein, the greatest scientist in modern times, was talking about the secret of success, he wrote down a formula: A=x y z. And explained: A represents success, x represents Hard work, y stands for the correct method, and Z stands for less empty words." ---- Einstein
"Mathematics is an infinite science." ---Hermann Weyl
p>"Some beautiful theorems in mathematics have the following characteristics: they are easily summarized from facts, but the proofs are extremely hidden. 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 them." ----Kam Muller
"As long as a branch of science can raise a large number of questions, It is full of vitality, and the lack of problems indicates the end or decline of independent development."
It’s not what we know, but how we know something.” --- Pythagoras
“A science can only reach true perfection when it successfully uses mathematics. "---Marx
"The scientific level of a country can be measured by the mathematics it consumes."---Rao
"Mathematics - science is unshakable. cornerstone and a rich source of advancement for humankind. ” ---- Barrow
“The God who rules on Mount Olympus is the eternal number. " ---- Jacobi
"Without the eternal imitation of the universe created by numbers, human beings will not be able to continue to survive. "----Nietzsche
"Those who do not understand geometry are not allowed to enter.
"----Plato
"There is no king of geometry! " ---- Euclid
"A mathematician is actually a fascination. Without fascination, there would be no mathematics. " ---- Novalis
"Without bold guesses, great discoveries cannot be made. "---- Newton
"Numbers rule the universe. "----Pythagoras
"Mathematics, the queen of science; number theory, the queen of mathematics. "——Gauss
"God created integers, and all other numbers are man-made. "----Kronek
"God is an arithmetician"----Jacobi
"A mathematician without some poetic spirit will never become a mathematician. Complete mathematician. "——Weierstrass
"Pure mathematics, a science 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. "——Hilbert
"The discovery of every new group is mathematical in form, because we can have no other guidance. "——Darwin
"The great architecture of the universe now begins to appear in the face of pure mathematicians. "---Jings
"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. Huaidehai
"Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will shake its tail. "————Cauchy
"Pure mathematics is the magician's real magic wand. "---Novales
"If anyone does not know that the diagonals of a square and the same sides are incommensurable quantities, then he does not deserve the title of human being. "——Plato
"The simple composition of whole numbers has been the source of new life for mathematics for centuries. "——Berkhoff
"The incomparable permanence and omnipotence of mathematics and its independence of time and cultural background are direct consequences of its essence. "---A? Ebo
"Life is only for two things, developing mathematics and teaching mathematics"---Pulson
"Use all the power of the mind, to choose the path we should follow. "---Descartes
"I don't know what people in the world will think of me; however, I think to myself, I am just like a child playing on the beach, picking up a smoother piece after a while. Pebbles, I soon found a beautiful shell; but in front of me, the ocean of truth has not yet been discovered. "----Newton
"The reason why I can see further than Descartes is because I stand on the shoulders of giants. " --- Newton
"No traveler can get far without checking for himself the soundness of every part of the bridge. Even in mathematics some things are risky. ”
logue ,\" --- --- Horace Lamb
"Forward , advance will give you faith . "——-D'Alembert
"Read Euler, read Euler, he is the teacher of all of us. " --- Laplace
"If I inherit a considerable amount of property, I may not have much value in mathematics. "----Lagrange
"I regard mathematics as an interesting job, rather than trying to build some monument to myself.
It's safe to say that I enjoy other people's work more than my own. I am always dissatisfied with my work. "----Lagrange
"It seems to be an axiom of character that a person's contribution is strictly inversely proportional to his pride. "----Lagrange
"For the sake of God, never give up your work! This is your best medicine. "---D'Alembert
"My success depends on only two things. One is to persevere unswervingly to the end; the other is to use hands to accurately create the graphics in the mind. "
" The greatest benefit of astronomical science is the elimination of errors caused by neglect of our true relationship with nature. Because social order must be based on such relationships, such mistakes are all the more disastrous. Truth and justice are the eternal foundations of social order. Would that we should be freed from the dangerous maxim that it is sometimes more useful to deceive and enslave than to secure their happiness! Historical experience from all ages proves that whoever breaks these sacred laws will be punished. "
————Laplace
"Sometimes, you fail to get the simplest and most beautiful proof at the beginning, but it is this kind of proof that can deepen your understanding. to the wonderful connections of higher arithmetic truths. This is what motivates us to continue research and what best enables us to make discoveries. "----Gauss
"If someone else thinks about the truth of mathematics as deeply and persistently as I do, he will also find my discovery. "——Gauss
"People die, but the cause will last forever. " --- Cauchy
"Exquisite arguments are often not achieved overnight, but are the accumulated results of people's long-term discussions." I also learned it slowly, and I have to continue to learn. "Number theory is the oldest branch of human knowledge, but 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. "——Hilbert
"The discovery of every new group is mathematical in form, because we can have no other guidance. "---Darwin
"The great architecture of the universe now begins to appear in the face of pure mathematicians. "---Jings
"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. Huaidehai
"Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will shake its tail. "————Cauchy
"Pure mathematics is the magician's real magic wand. "---Novales
"If anyone does not know that the diagonals of a square and the same sides are incommensurable quantities, then he does not deserve the title of human being. "——Plato
"The simple composition of whole numbers has been the source of new life for mathematics for centuries. "——Berkhoff
"The incomparable permanence and omnipotence of mathematics and its independence of time and cultural background are direct consequences of its essence. "---A? Ebo
"Life is only for two things, developing mathematics and teaching mathematics"---Pulson
"Use all the power of the mind, to choose the path we should follow.
"---Descartes
"I don't know what people in the world will think of me; however, I think to myself, I am just like a child playing on the beach, picking up a smoother piece after a while. Pebbles, I soon found a beautiful shell; but in front of me, the ocean of truth has not yet been discovered. "----Newton
"The reason why I can see further than Descartes is because I stand on the shoulders of giants. " --- Newton
"No traveler can get far without checking for himself the soundness of every part of the bridge. Even in mathematics some things are risky. ”
logue ,\" --- --- Horace Lamb
"Forward , advance will give you faith . "——-D'Alembert
"Read Euler, read Euler, he is the teacher of all of us. " --- Laplace
"If I inherit a considerable amount of property, I may not have much value in mathematics. "----Lagrange
"I regard mathematics as an interesting job, rather than trying to build some monument to myself. It's safe to say that I enjoy other people's work more than my own. I am always dissatisfied with my work. "----Lagrange
"It seems to be an axiom of character that a person's contribution is strictly inversely proportional to his pride. "----Lagrange
"For the sake of God, never give up your work! This is your best medicine. "---D'Alembert
"My success depends on only two things. One is to persist to the end unswervingly; the other is to use hands to accurately create the graphics in the mind. "
" The greatest benefit of astronomical science is the elimination of errors caused by neglect of our true relationship with nature. Because social order must be based on such relationships, such errors are all the more disastrous. Truth and justice are the eternal foundations of social order. Would that we should be freed from the dangerous maxim that it is sometimes more useful to deceive and enslave than to secure their happiness! Historical experience from all ages proves that whoever breaks these sacred laws will be punished. "
————Laplace
"Sometimes, you fail to get the simplest and most beautiful proof at the beginning, but it is this kind of proof that can deepen your understanding. to the wonderful connections of higher arithmetic truths. This is what motivates us to continue research and what best enables us to make discoveries. "----Gauss
"If someone else thinks about the truth of mathematics as deeply and persistently as I do, he will also find my discovery. "——Gauss
" People die, but the cause lasts forever. " --- Cauchy
"Exquisite arguments are often not achieved overnight, but are the accumulated results of people's long-term discussions." I also learned it slowly, and I have to continue to learn. "——Abel
"After all, it is the work of a master, extraordinary! "--- Galois
"Exceptionally abstract issues must be discussed extremely clearly. ” - Descartes
“I think, therefore I am.” "----Descartes
"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. "----Descartes
"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. ”----Descartes
“Learn directly from the masters rather than from their students. "----Abel
"Choose a definite research object and persevere. You may never reach the end, but you're bound to discover some interesting things along the way. "---Klein
"I never regard my works as a personal matter, nor do I pursue fame or praise. I am simply doing my best for the advancement of truth. It doesn't matter to me whether it's me or someone else. What matters is that it's closer to the truth. "——Weierstrass
"The movement form of thinking is usually like this: conscious research - subconscious activities - conscious research. "——Poincaré
"Life is a continuous struggle. If we occasionally enjoy tranquility, it is because our ancestors fought tenaciously. If our spirits, our vigilance were to let down for even a moment, we would lose what our forefathers had won for us. " --- Poincaré
"If we want to foresee the future of mathematics, the appropriate way is to study the history and current situation of this subject. "——Poincaré
"We must know, we will know. "---Hilbert
"Throw them into ice water and let them learn to swim on their own, or they will drown. Many students do not try to work on their own until they have mastered everything that others have done that is relevant to their problem. As a result, very few develop the habit of independent work. "——E.T. Bell
"If a person has done outstanding mathematical work and wants to attract the attention of the mathematical community, it is really easy, no matter how humble and unknown this person is. , he only has to do one thing: send his account of the results to a leading authority. "
--- Model
"Mathematicians usually discover a theorem through intuition; the result is first likely to him, and then he sets out to create it. A proof. ”
?A scholar, in addition to learning knowledge, must also have "tast". This word is not easy to translate, but some translate it into taste and love. If a person wants to achieve great achievements, he must have a very clear "tast". ”--- Yang Zhenning
“ Mathematics is the king of science. ” ——-Gauss
ccoute's
"If you think that it is only in geometric proofs or in There is certainty only in the evidence of feeling, and 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 is making 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. "————Cauchy
"Mathematics is a deductive science. From a set of postulates, through logical reasoning, a conclusion is obtained. "——Chen Shengshen
"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 is why 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. "——Chen Shengshen
"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. "
——————Chen Shengshen
"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: certain fictional hypotheses enough to explain many phenomena. "——Euler
"Because the structure of the universe is the most perfect and wise creation of God, therefore, if there is no certain maximum or minimum law in the universe, Then nothing will happen at all. "---Euler"
"The numbers in late sequence are not miraculous, they are tangible and can be detected, and there are numbers that can be deduced." "--- Zu Chongzhi
"Things are related to each other, and each has its own purpose. Therefore, although the branches are divided, they have the same origin and origin. Furthermore, the principles are analyzed in words and disassembled using 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. "----Liu Hui
"Imaginary numbers are wonderful human spiritual sustenance. It seems to be an amphibian between existence and non-existence. "----Leibniz
"Things that do not work will not exist. ”----Leibniz
“After considering those few things, the whole thing boils down to pure geometry, which is an aim of physics and mechanics. "---- Leibniz
" Geometry sometimes seems to be ahead of analysis, but in fact, geometry precedes analysis, just like a servant walking in front of his master. The one who clears the way for the master. ”----Sylvester
“Perhaps I may not unduly claim the title of mathematical Adam, for I believe that the creation of mathematical rationality is named by me (already popularly universal) rather than More than all other mathematicians of the same generation put together. "----Sylvester
"A mathematician without some poetic talent will never become a complete mathematician. ”----Weierstrass