A collection of famous quotes from mathematicians
Introduction: Mathematics is a course that we have been taking since elementary school. It enables natural science to achieve theoremization and gives natural science a certain degree of reliability. Below is a collection of famous quotes about mathematicians that I have carefully compiled for you. Welcome to read!
Famous Quotes from Mathematicians 1
1. Everything is number - Pythagoras
2. Geometry has no king, ——Euclide
3. Mathematics is the words God uses to write the universe. ——Galileo[2]
4. Questions are the heart of mathematics. ——Paul· Halmos (Paul Halmos)
5. The rate of delayed illness is not a miracle, it is tangible and can be detected, and there are numbers that can be deduced. - Zu Chongzhi
6. New mathematical methods And concepts are often more important than solving mathematical problems themselves. - Hua Luogeng
7. Mathematics is accurate and concise in expression, abstract and universal in logic, and flexible in form. It is an ideal tool for communication in the universe. - —Zhou Haizhong
8. Mathematicians are trying to discover some order in the prime number sequence on this day. We have reason to believe that this is a mystery that the human mind can never penetrate.
——Euler
9. 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
10. This is the benefit of a well-structured language. Its simplified notation is often the source of profound theories. - Pierre Simon Laplace
11. It would be a serious mistake to think that necessity exists only in geometric proofs or in sensory evidence. - Augustin Louis Cauchy
12. The essence of mathematics lies in its freedom , ——Georg Ferdinand Ludwig Philipp Cantor
13. If a branch of science can raise a large number of questions, it will be full of vitality, while the lack of questions will indicate the termination or decline of independent development. , ——David Hilbert
14. Time is a constant, but for the diligent, it is a 'variable'. People who use 'minutes' to calculate time are more likely to use 'hours' People who come to calculate time have 59 times more time. - Rybakov He also analyzes the principles with words and dissects them with diagrams, which can be summarized and understood, and the person who understands it has already thought more than half of it. - Liu Hui
16. Science needs experiments, but experiments cannot It is absolutely accurate. If there is a mathematical theory, it depends entirely on inference, which is completely correct. This science cannot be separated from mathematics.
17. I am determined to give up that mere abstract geometry. That is to say, not Let us now consider problems that are merely for the exercise of thought. I am doing this in order to study another kind of geometry, that is, geometry whose purpose is to explain natural phenomena. - Rene Descartes
18. Music can inspire or soothe feelings, painting can be pleasing to the eye, poetry can move the heart, philosophy can make people gain wisdom, science can improve material life, but mathematics can give all of the above. - Christian Felix Klein
19. Many basic concepts of science often require mathematical concepts to represent them. Therefore, it is natural for mathematicians to have a living but not to win the Nobel Prize. There is no Nobel Prize in mathematics. This may be a matter of course. It is a good thing that the Nobel Prize is too eye-catching and will prevent mathematicians from focusing on their own research. - Chen Shengshen
20. After modern high-energy physics reaches quantum physics, many experiments cannot be done at home. Calculating with paper and pen, this is not far from what mathematicians think, so mathematics has incredible power in physics. - Famous Quotes of Mathematicians Yau Shing-tung 2
1. New Mathematical methods and concepts are often more important than solving mathematical problems themselves. ——Hua Luogeng
2. Mathematics, if viewed correctly, not only possesses truth, but also has supreme beauty. ——Russell
3. Mathematics can promote people’s understanding of the characteristics of beauty—the order of numerical proportions, etc. ——Aristotle
4. In the field of mathematics, the art of asking questions is more important than the art of answering them. ——Cantor
5. Pure mathematics can be practical and useful, and applied mathematics can also be beautiful and elegant. ——Halmers
6. Mathematics is a rational spirit that enables human thinking to be used to the most perfect degree. ——Klein
7. In mathematics, it is important to distinguish what is important and what is not important, and to know what to choose. ——Guangzhong Pingyou
8. A science can only achieve true perfection when it successfully uses mathematics. ——Marx
9. The most important achievement of modern mathematics is to truly reveal the entire face of mathematics and its essential existence.
——Russell
10. No matter how abstract any branch of mathematics is, it will one day be applied to the real world. ——Lobachevsky
11. The science of pure mathematics can be said to be the most original creation of the human spirit in its modern stage of development. ——Whitehead
12. Those who insist that there is no beauty in mathematical science are wrong. The main forms of beauty are order, symmetry and clarity. ——Aristotle
13. People who aspire to physics will not do it if they do not understand the following things: the first is mathematics, the second is mathematics, and the third is mathematics. ——Roentgen
14. In reality, there are not so many things like mathematics, which have lasted for thousands of years and are still so beautiful. ——Sullivan
15. 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
16. Some beautiful theorems in mathematics have this characteristic: they are easily summarized from facts, but the proofs are extremely hidden. ——Gauss
17. Mathematical methods penetrate and dominate all theoretical branches of natural science. It has increasingly become the primary measure of scientific achievement. ——Von Neumann
18. The universe is huge, the particles are tiny, the speed of rockets, the ingenuity of chemical engineering, the changes in the earth, the mysteries of biology, and the complexity of daily life. Mathematics is used everywhere. ——Hua Luogeng
19. Mathematical science presents one of the most brilliant examples, showing that pure reasoning can successfully expand people's cognitive fields without resorting to experiments. ——Kant
20. When mathematicians derive equations and formulas, they get full happiness just like seeing beautiful scenery of statues, hearing beautiful tunes, etc. ——Kopning
21. I think it is correct to say that the criteria for a mathematician to choose a topic and judge his success are mainly aesthetic criteria. ——Feng. Neumann
22. Only with the vigorous development of mathematics can a country show the strength of its national foundation. The development of mathematics is closely related to the highest good and the prosperity of the country. ——Napoleon
23. Another reason why mathematics has a high reputation is that mathematics enables natural science to achieve theoremization and gives natural science a certain degree of reliability. ——Einstein
24. Feeling the beauty of mathematics, feeling the coordination of numbers and shapes, and feeling the elegance of geometry are the true feelings of beauty that all true mathematicians know. —— Poincaré
25. Mathematicians are like lovers - give a mathematician the smallest principle, and he will lead to a result that you must admit, and from this to another. ——Fortanelli
26. We can expect that with the development of education and entertainment, more people will appreciate music and painting. However, the number of people who can truly appreciate mathematics is very small. ——Bells
27. I have heard some people say that I am an opponent of mathematics and an enemy of mathematics, but no one respects mathematics more than me, because it has accomplished what I have never achieved. performance. ——Goethe
28. A philosopher must also learn mathematics, because he must jump out of the vast sea of ??ever-changing phenomena and grasp the real essence. and because it is the shortest way to the transition of the soul to truth and eternity. ——Plato
29. History makes people wise, poetry makes people elegant, mathematics makes people noble, natural philosophy makes people deep, morality makes people steady, and ethics and rhetoric make people good. debate. ——Bacon
30. A mathematician without some poetic talent will never become a complete mathematician. ——Weierstrass Pure mathematics, by its very nature, is the poetry of logical thought. ——Einstein
31. Mathematicians, like painters or poets, are makers of styles... Mathematicians’ styles, like those of painters or poets, must be beautiful... There is no ugly mathematics in the world permanent place of residence.
——Hardy
32. But there is another reason why mathematics enjoys a high reputation: it is mathematics that gives various precise natural sciences a certain degree of reliability that they would not be able to achieve without mathematics. ―Albert Einstein
33. Another reason why mathematics is highly respected is that it is precisely mathematics that provides unquestionable and reliable guarantee for precise natural science. Without mathematics, they would This level of reliability cannot be achieved. ——Einstein
34. One reason why mathematics is respected more than all other sciences is because its propositions are absolutely reliable and indisputable, while other sciences are often in the process of being newly discovered. The danger of overturned facts. ——Einstein
35. In the evaluation of mathematical theorems, aesthetic standards are more important than logical standards and practical standards: when evaluating mathematical ideas, whether beauty and elegance are more important than Strict correctness is much more important than whether it is useful. ——Steen
36. After modern high-energy physics reaches quantum physics, there are many experiments that cannot be done at all. You can do calculations at home with paper and pen. This is not far from what mathematicians think, so it is said Mathematics has incredible power in physics. ——Qiu Chengtong
37. A kind of peculiar beauty rules the kingdom of mathematics. This kind of beauty is not as similar as the beauty of art and the beauty of nature, but she deeply infects people's hearts and inspires them. Appreciation of her is very similar to the beauty of art. ——Cuomo
38. When I listen to others explaining certain mathematical problems, I often find it difficult or even impossible to understand. At this time, I thought, can the problem be simplified? Often, after you finally figure it out, it's actually just a simpler problem. ——Hilbert
39. Mathematics has made an important contribution to the observation of nature. It explains the simple primitive elements in the regular structure, and the celestial bodies are built with these primitive elements. ——The main goal of Kepler's mathematics is the public interest and the explanation of natural phenomena. ——Fourier
40. Mathematics is a creative art, because mathematicians create beautiful new concepts; mathematics is a creative art, because mathematicians live like artists; mathematics is a creative art, Because that's what mathematicians think. ——Halmers
41. Mathematics is a tool that is particularly suitable for dealing with any kind of abstract concepts, and its role in this regard is endless. Therefore, a book discussing the new physics, if it does not simply describe experimental work, must be essentially a mathematical book. ——Dirac
42. Mathematics is the queen of science, and number theory is the queen of mathematics. Gauss (Gauss) music can inspire or soothe people's emotions, paintings can make people happy, poetry can move people's hearts, and philosophy can make people gain wisdom. , science can improve material life, but mathematics can give all the above. ——Klein
43. Mathematics is a spirit, a rational spirit. It is this spirit that inspires, inspires and drives human thinking to the most perfect level. It is this spirit that tries to decisively influence human material morality and social life; it tries to answer questions about human existence. ; strive to understand and control nature; strive to explore and establish the deepest and most perfect connotation of acquired knowledge. ——Klein
44. Can’t music be described as the mathematics of feeling, and mathematics as the music of rationality? In this way, musicians feel mathematics, and mathematicians think of music—music is Dream, mathematics is a life of work - each side reaches perfection through the other. At that time, the model of human wisdom reaching perfection will be praised by Mozart-Dirichlet or Beethoven-Gauss in some future Down and dazzling. This union was clearly foreshadowed in the genius and work of one Helmholtz. ——Silvers
45. Generally speaking, I prefer to regard mathematics as an art rather than a science.
Because we can say that the activities of a mathematician, when he is guided by the external rational world instead of being controlled, constantly carries out creative activities, are similar to the activities of an artist or a painter, and have real, not illusory similarities. point. The rigorous deductive reasoning on the part of a mathematician can be likened to the painting skills on the part of a painter. Just as a person without certain skills cannot become a good painter, a person without certain precise reasoning abilities cannot become a good mathematician. However, although these are their basic qualities, they are not enough to make a painter or mathematician worthy of the name. Drawing skills and reasoning ability are, to be honest, not the most important factors after all. Far more sensitive, for both are chief among the qualities that make a great artist or a great mathematician is imagination. ——Part 3 of Famous Quotes by Bocher Mathematicians
1. Most mathematical creations are the result of intuition, a somewhat direct perception or quick understanding of the facts, and are not related to any lengthy or formal The reasoning process has nothing to do with it. ——Lucas
2. Mathematics is a variety of proof techniques. ——Wittgenstein
3. Mathematics is the theory of studying abstract structures. ——The Bourbaki School
4. Mathematics is a rational spirit that enables human thinking to be used to the most perfect degree. ——Klein
5. Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will wag its tail. ——A.L. Cauchy
6. The great architecture of the universe is now beginning to appear in the face of pure mathematicians. ——J·H·Jings
7. The science of pure mathematics can be said to be the most original creation of the human spirit in its modern stage of development. ——Huaidehai
8. Mathematics is a unique art. ——Halmers
9. Mathematics is the study of quantitative relationships and spatial forms in real life. ——Engels
10. Every new group discovered is mathematical in form, because we can have no other guidance. ——Famous quotes from Darwin’s mathematicians Part 4
1. Never think that you have solved enough problems at any time.
2. In order to establish the concept of space, there must be a hands-on process. The hands-on process is not only a practical process, but also a process of experimentation, imagination, reasoning and reflection.
3. Apply what you have learned, especially mathematics learning. Applying the knowledge you have learned to real life is the ultimate goal of mathematics learning.
4. The best way to learn any new knowledge is for students to discover it themselves, because this kind of discovery leads to the deepest understanding and is also the easiest to grasp the inner laws and connections.
5. One of the best ways to learn to solve problems is to study examples.
6. Students are the masters of mathematics learning, and teachers are the organizers, guides and collaborators of mathematics learning.
7. The biggest failure and tragedy of a primary school mathematics teacher is that some students are afraid of mathematics because of you.
8. Mathematical knowledge comes from life and serves life.
9. Mathematics classes must be taught vividly, understandably, and deeply.
10. In mathematics classes, the taste of mathematics should be purer. Think more from the perspective of mathematics itself and focus on comparisons, which will help promote students' reflection and achieve a conscious learning state.
11. Mathematics teaching activities must be based on students’ cognitive development level and existing life experience, allowing students to experience and explore, abstract practical problems into mathematical models, and explain and apply them. process.
12. Mathematics is not just about solving problems.
13. If you are not a genius, if you want to learn mathematics, don’t think about playing games - you think you have done it, but in fact your mathematics level has not improved together with your ability to pass levels - in fact, you can always Remember: learning mathematics makes you better at playing the big game of "life"!
14. Please don’t be an impetuous person.
15. There is a method for teaching, but there is no fixed method for teaching. The most important thing is to get the method.
16. Being able to use mathematical formulas does not mean that you can do mathematics.
17. Impetuous people tend to ask: How should I learn? - Don’t ask, just learn.
18. Impetuous people tend to ask: Is it better to write down the teacher’s notes in class or follow the teacher’s thinking without taking notes? - Let me tell you, it's all fine - as long as you learn.
19. Impetuous people tend to say: Learning mathematics is useless, you should learn something useful; - it’s you who are useless! ?
20. There are two types of impetuous people: a) those who only watch without learning; b) those who only learn without persisting. ;