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Complete works of famous mathematical sayings and sentences
1. The incomparable eternity and omnipotence of mathematics and its independent effect on time and cultural background are the direct consequences of its essence. A Heber

2. Math is gymnastics to exercise your thinking. Kalinin

3. History makes people wise, poetry makes people wise, mathematics makes people precise, philosophy makes people profound, ethics makes people cultivated, and logical rhetoric makes people eloquent. bacon

Philosophers should also learn mathematics, because he must jump out of the vast phenomenon and grasp the real essence. And because it is a shortcut for the soul to transition to truth and eternity. -Plato

5. Most mathematical creations are the result of intuition, with a little direct perception or quick understanding of facts, which has nothing to do with any lengthy or formal reasoning process. William Lucas

6, pay attention to the observation of special circumstances, can lead to general mathematical results, but also inspire general proof methods. (Paulia)

7. One reason why mathematics is more respected than all other sciences is that his proposition is absolutely reliable and indisputable, while other sciences are often in danger of being overthrown by newly discovered facts. . Another reason why mathematics has a high reputation is that mathematics makes natural science theorem and gives it certain reliability. -Einstein

8. Music can inspire or soothe feelings, painting can make people pleasing to the eye, poetry can impress people, philosophy can make people gain wisdom, science can improve material life, but mathematics can give them all. Klein

9. The great structure of the universe is now beginning to appear as a pure mathematician. Jh Kingsley

10, pure mathematics, in its modern development stage, can be said to be the most primitive creation of human spirit. -Baishihai

1 1, mathematics is such a subject: she reminds you that there is an invisible soul; She gave life to the truth she discovered; She awakens the mind and clarifies wisdom; She adds luster to our inner thoughts; She erased all our ignorance and ignorance. -Proklos

12, math problems must be done, but learning math is not just about solving problems. There are too many problems, and there is no point in not thinking: think about the problems and how to change them after thinking. Li Xinming

13, no subject can clarify the harmony of nature more clearly than mathematics. Carlos

14, this is a reliable rule. When the author of mathematics or philosophy works writes in vague and abstruse words, he is talking nonsense. -Ann whitehead.

15, it seems to be an axiom of character that a person's contribution is strictly inversely proportional to his conceit. Lagrange

16, time is a constant, but for diligent people, it is a variable? . Use integral? People who count time spend more time than hours? People who calculate time spend 59 times more time. -Russian historian Rybakov

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

Any branch of mathematics, no matter how abstract, will be applied to the real world one day. Lobachevsky

19, there are two kinds of promotion, one is of little value and the other is of value. It is not good to dilute after promotion, but it is good to refine after promotion. It is easy to dilute alcohol with water, but it is worthless; It is not easy to extract purer refined products from good things, but it is valuable. (Paulia)

20. Countability belongs to the world that rules the whole quantity, and the four operations can be regarded as all the equipment of mathematicians. Maxwell

2 1, if a person's attention is often unable to concentrate, let him learn math. Because when proving mathematical theorems, even if you don't concentrate for a moment, you have to start again. -Bacon

22. Don't think of mathematics as something difficult, stubborn, annoying and contrary to common sense. It is just something that endows common sense with spirituality. -kelvin

23. Number theory is the oldest branch of human knowledge. However, some secrets in his heart are closely related to his most ordinary truth. A professional who is good at creating with a certain material: goldsmith | wordsmith.

24, infinite! No other problem has touched the human mind so deeply. -D. Hilbert

25. Numbers rule the universe. Pythagoras

26. God created integers, and the rest are man-made. -L. Kroneck

27. Only when mathematics develops vigorously can a country show its strong national strength. The development and perfection of mathematics are closely related to the prosperity of the country. -Napoleon

28. Simple combinations of integers have been the source of new students in mathematics for centuries. - GD boekhoff

29. Mathematics is a deductive thing. It won't suddenly appear. Usually, training is very important. If you look at it from a height, ... a change of situation, a change of conditions, or from a higher level, are all new things. Li Xinming

30. Mathematical knowledge makes thinking more energetic and frees it from prejudice, credulity and superstition. Complete works of famous mathematical sayings and sentences

3 1, God is a mathematician-jacoby.

32. Dare to do subtraction in learning, that is, subtract what the predecessors have solved, and see what problems have not been solved, which need us to explore and solve. -Hua

33. Give me five coefficients and I will draw an elephant. Give me six coefficients and the elephant will wag its tail. -Cauchy

34. It is found that each new group is mathematical in form, because we can't have other guidance. -CG Darwin

35. As long as algebra and geometry develop independently, their progress will be slow and their applications will be limited. However, when they are combined, they reinforce each other and move towards perfection together at an extremely fast speed. (Lagrange)

36. Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol of measuring scientific achievements. Von Newman

For us, the value of mathematical knowledge lies not only in its powerful tool, but also in the perfection of mathematics itself. In the internal or external development of mathematics, we have seen the purest logical thinking activities and the most advanced aesthetic embodiment of wisdom and vitality. -Prince

38. Every problem I solve becomes the rule for solving other problems in the future. Descartes

39. I have heard that I am an opponent and an enemy of mathematics, but no one respects mathematics more than I do, because it has accomplished what I have never accomplished. -Goethe

40. The more detached a mathematician is, the better. anonymous

4 1, learn math by doing more exercises and thinking while doing it. Predict what it is and then know why. -sue

42. It is found that every new group is mathematical in form, because we can't have other guidance. -Darwin

43. Queen of Mathematics and Science; Number theory, the queen of mathematics. -CF gauss

44. A person is like a score, his practical ability is like a numerator, and his evaluation of himself is like a denominator. The larger the denominator, the smaller the value of the fraction. -Tolstoy

45. God created integers, and the rest are man-made. -Kroneck's famous words about mathematics

46. Mathematics is regarded as an argument science. However, this is only one aspect. Stereotyped mathematics, appearing in its final form, seems to be pure demonstration materials, only proof. However, the creation process of mathematics is the same as that of any other knowledge. Before you prove a mathematical theorem, you must guess the content of this theorem. Before you make a detailed proof, you have to guess the idea of proof. You have to synthesize the observed results and make an analogy. You must try again and again. (Paulia)

47. This is a reliable rule. When the author of a mathematical or philosophical work writes with vague and abstruse words, he is talking nonsense. -An Huaidehai

48. I always try to get rid of that heavy and monotonous calculation. Napier

49. A mathematician who is not a poet will never be a complete mathematician. -Wilstes

50. The universe is big, the particles are tiny, the speed of rockets, the ingenuity of chemical engineering, the change of the earth, the mystery of biology, the complexity of daily use, and mathematics is everywhere. -Hua

5 1, people have financial resources but are careless, that is, financial resources are useless; People who are talented and thoughtful are useful; Being able to learn geometry is very detailed. Therefore, it is the right way to lead the world to practicality. -Xu Guangqi

52. Finding errors and correcting them is an excellent detection method for people who are not beginners in mathematics. It can test whether you understand the true meaning of mathematics correctly and profoundly, exercise your intelligence, and strictly restrict your judgment and reasoning order.

53, infinite! No other problem has touched the human mind so deeply. -Hilbert

When a question is raised, we should be able to see immediately whether it is more beneficial to study some other questions first, what are these other questions and in what order. Descartes

55. One of the values of a good question is that it can lead to other good questions. -Polya

We can expect that with the development of education and entertainment, more people will like music and painting. However, few people can really appreciate mathematics. -Bell

57. The economic principle of thinking has been brought into full play in mathematics. Mathematics is the highest form of science achieved by various sciences in its high development, and all natural disciplines frequently turn to it for help. Mach

58. Problem solving is a practical skill. Just like swimming, skiing or playing the piano, it can only be learned through imitation, practice and study. (Paulia)

59. Give me five coefficients and I will draw an elephant. Give me six coefficients and the elephant will wag its tail. Al Cauchy

Specialization and generalization are important sources of useful auxiliary problems. -Polya

6 1, who doesn't know that the diagonal side of a square is an incommensurable quantity, then he doesn't deserve this title. -Plato

62. Mathematical language is not only the simplest and clearest language for anyone, but also the most rigorous language.

Einstein, the greatest scientist in modern times, wrote a formula when talking about the secret of success: a = x+y+z Y+Z. He explained that A stands for success, X stands for hard work, Y stands for the correct method, and Z stands for less empty talk. -Einstein

64. The human brain is such a computer that works very reliably with a relatively low accuracy. Von Neumann

65. Take some time to think about what you did during the day. Is it a plus sign? Or negative sign? , if it is+? , so progress; If it is-? You have to learn a lesson and take measures. -dimitrov.

66. Observation may lead to discovery, and observation may reveal some laws, patterns or rules. -Polya

67. When I listen to others explaining some math problems, I often find it difficult or even incomprehensible. At this time, I thought, can we simplify the problem? Often finally figured it out, in fact, it is just a simpler question.

68. The motive force of mathematical invention is not reasoning, but imagination. -Classic quotes demonstrating mathematics

69. Elementary mathematics is one of the most representative creations of modern thought, which is characterized by linking theory with practice through direct channels. -whitehead

70. I have heard that I am an opponent and an enemy of mathematics, but no one respects mathematics more than I do, because it has made achievements that I have never made. -Goethe

7 1, the essence of mathematics is its freedom -Cantor

72. Studying mathematics is to explore the mysteries of the universe. As we all know, the laws of planets and strata, heat and electricity, variation and existence all involve mathematical truth. If language reflects and reveals the voice of the creator, then mathematics reflects and reveals the wisdom of the creator, repeating the story of how things mutate into existence. Mathematics concentrates and guides our energy, self-esteem and desire for knowledge, so as to live in God's big family. Just as literature induces people's emotion and understanding, mathematics stimulates people's imagination and reasoning ability. -Minister, W.E.

73. Pure mathematics is a magician's real wand. Novalis

74. For every math book worth reading, you must read it once (Lagrange). Now I will revise and clarify this sentence slightly as follows: Keep reading, but go back to what you have read from time to time to enhance your confidence. In addition, when you are studying, once you fall into the difficult and boring content, you might as well skip some time and continue reading. When you find the importance and necessity of the skipped part below, go back and study it.

If you can't solve this problem, look around and find a suitable related problem. Auxiliary questions can provide methodological help. It may prompt the method of the solution, the outline of the solution, or prompt us which direction to start working, and so on. -Polya

76. Non-mathematical induction plays an indispensable role in mathematical research. -I. Shure

77. The incomparable eternity and omnipotence of mathematics, as well as its independence in time and cultural background, are the direct consequences of its essence. -Heber

78. Genius = 1% inspiration +99% sweat. Edison

Complete works of famous mathematical sayings in primary schools

Mathematical culture is profound and involves all aspects of our lives.

Laplace said: "In mathematics, the main tools for us to find truth are induction and simulation."

Wittgenstein said: "Mathematics is all kinds of proof skills."

Hua said: "New mathematical methods and concepts are often more important than solving mathematical problems themselves."

Napier said: "I always try my best to get rid of that heavy and monotonous calculation."

Kepler said, "Pursuing that goal in the best time of my life ... the book has been written. It doesn't matter whether modern people read it or future generations read it. It may take a hundred years to have readers. "

Napoleon said: "Only by vigorously developing mathematics can a country show its national strength. The development and perfection of mathematics is closely related to the prosperity of the country. "

Einstein said: "One reason why mathematics is more respected than all other sciences is that his proposition is absolutely reliable and indisputable, while other sciences are often in danger of being overthrown by newly discovered facts. ... another reason why mathematics enjoys a high reputation is that mathematics theorizes natural science and gives it a certain degree of reliability. "

Qiu Chengtong said: "After modern high-energy physics reaches quantum physics, many of them can't do experiments at all, which is not much different from what mathematicians think, so mathematics has incredible power in physics."

Roentgen said: "The first is mathematics, the second is mathematics, and the third is mathematics."

Hua said: "The size of the universe, the tiny particles, the speed of rockets, the ingenuity of chemical engineering, the change of the earth, the mystery of biology and the complexity of daily use require mathematics everywhere."

Von Newman said: "Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol of measuring scientific achievements. "

Pierre (Canadian biologist) said: "Ecology is essentially a mathematics."

Kepler said: "Mathematics has made an important contribution to observing nature. It explains the simple primitive elements in the regular structure, with which celestial bodies are built. "

Fourier said: "The main goal of mathematics is the public interest and the explanation of natural phenomena."

Lobachevsky said: "No matter how abstract any branch of mathematics is, it will be applied to the real world one day."

Leibniz said: "With one, everything can be created from nothing."

Aristotle said, "Thinking begins with doubt and surprise."

Knowles said: "Mathematicians are fascinated by nature. Without fascination, there is no mathematics."

Kopnen (philosopher of the former Soviet Union) said: "Mathematicians are as happy as seeing statues, beautiful scenery and beautiful tunes when they deduce equations and formulas."

Russell said, "What makes me most happy about mathematics is what can be proved."

Gauss said: "what gives me the greatest happiness is not knowing knowledge, but constantly learning;" Not what you already have, but what you keep getting; Not the height that has been reached, but the constant climbing. "

Paulia said, "Start with the simplest."

Gauss said, "Less is better, but better." "Half the proof is equal to zero."

Hilbert said: "When I listen to others explain some math problems, I often find it difficult or even incomprehensible. At this time, I thought, can we simplify the problem? Often it is finally figured out, but it is actually just a simpler question. "

Famous mathematical sayings

1. Only with the vigorous development of mathematics can a country show its national strength. The development and perfection of mathematics are closely related to the prosperity of the country.

2. New mathematical methods and concepts are often more important than solving mathematical problems themselves.

3. In mathematics, we find that the main tools of truth are induction and simulation.

In mathematics, it is very important to know what is important and what is not.

Mathematics has made an important contribution to observing nature. It explains the simple primitive elements in the regular structure, with which celestial bodies are built.

6. Countability belongs to the world that rules the whole quantity, and the four operations can be regarded as all the equipment of mathematicians.

7, learning mathematics, there will never be excessive efforts.

8. Mathematicians are fascinated by nature. Without infatuation, there is no math.

9. Mathematics is a constantly developing culture.

10, the universe is big, the particles are tiny, the speed of rockets, the cleverness of chemical industry, the change of the earth, the mystery of biology, the complexity of daily use, and mathematics is everywhere.

1 1, the first is mathematics, the second is mathematics, and the third is mathematics.

12, infinite! No other problem has touched the human mind so deeply.

13. The incomparable eternity and omnipotence of mathematics and its independent effect on time and cultural background are the direct consequences of its essence.

14. Mathematics is a rational spirit, which enables human thinking to be applied to the most perfect degree.

15, mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol of measuring scientific achievements.

16. Mathematical knowledge is the purest logical thinking activity and the highest aesthetic embodiment of intelligent vitality.

17, what gives me the greatest happiness is not knowing knowledge, but learning constantly; Not what you already have, but what you keep getting; Not the height that has been reached, but the constant climbing.

18, mathematics has a high reputation, and another reason is that mathematics makes natural science theorem and endows natural science with certain reliability.

19, if anyone does not know that the diagonal side of a square is an incommensurable quantity, then he is not worthy of this title.

20. It is found that each new group is mathematical in form, because we can't have other guidance.

2 1. Mathematics is the king of science.

22. Please pay attention to the details of the problem-solving mistakes and remind yourself before the exam.

23. Remember: the concepts and objects in mathematics are not only exclusive to mathematics. Don't forget to use mathematics in other disciplines.

24. Always review the problems solved before, try new solutions and apply the new knowledge you have learned.

25. Mathematics is a tool of knowledge and a source of other knowledge tools. All the sciences that study order and measurement are related to mathematics.

26. Mathematics is a variety of proof skills.

27. The great architecture of the universe is now beginning to appear as a pure mathematician.

28. Don't assume that some words in mathematics have exactly the same meaning just because they look the same as those in natural language.

29. Mathematics is the judge and master of law and theory.

We can expect that with the development of education and entertainment, more people will like music and painting. However, few people can really appreciate mathematics.

3 1, non-mathematical induction plays an indispensable role in mathematics learning.

What pleases me most about mathematics is what can be proved.

Instead of talking about novel problem-solving methods, it is better to keep the conventional problem-solving methods in mind.

34. History makes people wise, poetry makes people witty, and mathematics makes people careful.

35. Queen of Mathematics and Science; Number theory, the queen of mathematics.

36. Mathematics is a clever art. ..

37. The essence of mathematics is freedom.

38. History makes people wise, poetry elegant, mathematics noble, natural philosophy deep, morality steady and ethical rhetoric able to contend.

39. No subject can clarify the harmony of nature more clearly than mathematics.

40. Number theory is the oldest branch of human knowledge, but some of his deepest secrets are closely related to his most common truth.

4 1, the motive force of mathematical invention is not reasoning, but imagination.

42. Mathematics is the study of quantitative relations and spatial forms in real life.

43. Please read carefully the examples you can understand. Please bite the bullet and don't understand examples.

44. God created integers, and the rest are man-made.

45. Genius? Please look at my elbow.

46. Simple combinations of integers have been the source of new students in mathematics for centuries.

47. Mathematics is the highest form of all knowledge.

48. Mathematics is the theory of studying abstract structures.

49. As long as a branch of science can ask a large number of questions, it is full of vitality, while the lack of questions indicates the termination or decline of independent development.

50. Mathematics is the symbol that God describes nature.

5 1, give me five coefficients, and I will draw an elephant; Give me six coefficients and the elephant will wag its tail.

52. One of the best ways to learn to solve problems is to study examples.

53. When learning mathematics, you should do more exercises and think while doing it. Predict what it is and then know why.

Mathematicians are as happy when they derive equations and formulas as when they see statues, beautiful scenery and beautiful tunes.

Any branch of mathematics, no matter how abstract, will be applied to the real world one day.

56. Pure mathematics is a magician's real wand.

57. Mathematics is the brightest pearl in the crown of human wisdom.

58. Mathematics is the highest achievement of human thinking.

59. Mathematics is an infinite science.

60. A mathematician who is not a poet will never be a complete mathematician.

6 1, I always try my best to get rid of that heavy and monotonous calculation.

62. Mathematics is a deductive science. Starting from a set of postulates, we can draw a conclusion through logical reasoning.

63. Don't stay in the cradle of basic problems, learn to treat basic problems as comprehensive problems of parts assembly.

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

65. This is a reliable rule. When the author of a mathematical or philosophical work writes with vague and abstruse words, he is talking nonsense.

66. Mathematics is symbol plus logic.

67. I have heard that I am an opponent and an enemy of mathematics, but no one respects mathematics more than I do, because it has accomplished what I have never accomplished.

68. The secret of learning mathematics is to solve problems, solve problems, and then solve problems.

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

70. Mathematics is the key to science.

7 1, mathematics is more than just solving problems.

72. Pure mathematics, in its modern development stage, can be said to be the most primitive creation of human spirit.

As a warning sentence, I hope the contents of the Complete Works of Famous Mathematical Sentences above will help you. If you want to get more famous sentences, you can click on the topic of famous sentences.