1. The incomparable permanence and omnipotence of mathematics and its independence from time and cultural background are direct consequences of its nature. ---A Ebo

2. Mathematics is a gymnastics exercise for the mind. ---Kalinin

3. History makes people wise, poetry makes people intelligent, mathematics makes people precise, philosophy makes people profound, ethics makes people cultivated, logic and rhetoric make people eloquent. --- Bacon

4. Philosophers must also learn mathematics, because they must jump out of the vast sea of ??ever-changing phenomena and grasp the true essence. and because it is the shortest way to the transition of the soul to truth and eternity. ---Plato

5. Most mathematical creations are the result of intuition, a more or less direct perception or quick understanding of facts, and have nothing to do with any lengthy or formal reasoning process. ---William F. Lucas

6. Paying attention to the observation of special situations can lead to general mathematical results and inspire general proof methods. (Polya)

7. 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. . 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

8. Music can inspire or soothe feelings, painting can make people happy, poetry can move people's hearts, philosophy can make people gain wisdom, science can improve material life, but mathematics can give all the above. . ---Klein

9. The great architecture of the universe is now beginning to appear in the face of pure mathematicians. ---JH Kings

10. In its modern development stage, the science of pure mathematics can be said to be the most original creation of the human spirit. ---Whitehead

11. Mathematics is a subject: she reminds you that you have an invisible soul; she gives life to the truths discovered; she arouses the mind and clarifies wisdom; she gives us Inner thoughts add brilliance; they cleanse away the ignorance and ignorance we have had throughout our lives. ---Proclus

12. Mathematics questions must be answered, but learning mathematics is not just about solving problems. There are too many questions, and without thinking, there is no meaning: think about the questions, and think about them after thinking about them. How to change. ---Li Xinming

13. No subject can illustrate the harmony of nature more clearly than mathematics. ---Carlos

14. 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

15. It seems to be an axiom of character that a person's contribution is strictly inversely proportional to his pride. ----Lagrange

16. Time is a constant, but for those who are diligent, it is a variable. People who measure time in minutes have 59 times more time than those who measure time in hours. ---Russian historian Rybakov

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

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

19. There are two types of promotion, one is of little value and the other is valuable. It is not good if it is diluted after promotion, but it is good if it is refined after promotion. It is easy to dilute the alcohol with water, but it is worthless; it is not easy to extract a purer refined product from good things, but it is valuable. (Polya)

20. Countability rules the entire world of quantity, and the four arithmetic operations can be regarded as all the equipment of a mathematician. ---Maxwell

21. If a person often cannot concentrate, let him learn mathematics. Because when proving a mathematical theorem, if you lose concentration even for a moment, you must start over. ---F. Bacon

22. Don’t think of mathematics as something rigid, convoluted, annoying, and contrary to common sense. It just gives common sense a Spiritual stuff.

---Kelvin

23. 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

24. Infinite! No other question has touched the human heart so deeply. ---D Hilbert

25. Numbers rule the universe. ---Pythagoras

26. God created integers, and all other numbers are man-made. ---L Kronecker

27. Only with the vigorous development of mathematics can a country demonstrate its national strength. The development of mathematics is closely related to the highest good and the prosperity of the country. ---Napoleon

28. The simple composition of integers has been the source of new life for mathematics for centuries. ---GD Birkhoff

29. Mathematics is a deductive thing, it does not appear suddenly. Daily training is very important. It must be viewed from a high position... Change the situation, change the conditions, or look at it from a higher level, and it becomes something new. ---Li Xinming

30. Mathematical knowledge adds vitality to thinking and frees it from the shackles of prejudice, credulity and superstition. A collection of famous sayings in mathematics

31. God is an arithmetician--Jacobius

32. When learning, you must dare to do subtraction, which is to subtract what has been solved by predecessors. Part of it, let’s see what problems remain unresolved and need us to explore and solve them. ----Hua Luogeng

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

34. Every new group discovered is mathematical in form, because we cannot 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. But when combined, they strengthen each other and together move toward perfection at breakneck speed. (Lagrange)

36. Mathematical methods penetrate and dominate all theoretical branches of natural science. It has increasingly become the primary measure of scientific achievement. ---Von Neumann

37. For us, the value of mathematical knowledge is not only because it is a powerful tool, but also because it is perfect in mathematics itself. In the internal or external unfolding of mathematics, we see the purest logical thinking activities and the most advanced aesthetic expression of intellectual vitality. ---Princem

38. Every problem I have solved has become a rule for solving other problems in the future. ---Descartes

39. 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 completed its achievements and I have not achieved its achievements. performance. ——Goethe

40. The more detached a mathematician is, the better. ---Anonymous

41. When learning mathematics, you should do more exercises and think while doing them. Know what it is and then know why it is. ---Su Buqing

42. Discover that every new group is mathematical in form, because we cannot have other guidance. ---Darwin

43. Mathematics, the queen of science; number theory, the queen of mathematics. ---CF Gauss

44. 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. ----Tolstoy

45. God created integers, and all other numbers are man-made. ---Kronnecke's famous sayings about mathematics

46. Mathematics is regarded as a science of argumentation. However this is only one aspect of it. Finalized mathematics in its final and definite form seems to be purely demonstrative material containing only proofs. However, the creation process of mathematics is the same as the creation process of any other knowledge. Before you prove a mathematical theorem, you first have to speculate on the content of the theorem. Before you make a detailed proof, you first have to speculate on the idea of ??the proof. You first have to synthesize the observed results and then make analogies. You have to try again and again.

(Polya)

47. 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. ---AN Huaidehai

48. I always try my best to get rid of the heavy and monotonous calculations. --- Napier

49. A mathematician without some poetic spirit can never become a complete mathematician. ---Weierstrass

50. The vastness of the universe, the tinyness of particles, the speed of rockets, the ingenuity of chemical engineering, the changes in the earth, the mysteries of biology, the complexity of daily life, and mathematics are used everywhere. . ---Hua Luogeng

51. If a person has superior talents but has a rough mind, then superior talents are useless; if a person has average talents but has a careful mind, that is, average talents are useful; if he can understand geometry, he is extremely meticulous. . Therefore, leading the people of the world to return to practical use is the way to go. ---Xu Guangqi

52. Discovering fallacies and correcting fallacies is an excellent testing method for those who are not beginners in mathematics. It can test whether you have a correct and in-depth understanding of mathematics. The true meaning of it can also exercise your intelligence and strictly constrain your judgment and reasoning in a certain order

53. Infinite! No other question has touched the human heart so deeply. ---Hilbert

54. When a problem is raised, we should be able to immediately see whether it is more beneficial to study some other problems first, what these other problems are, and In what order should the research be conducted? ---Descartes

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

56. We can expect that with the development of education and entertainment, more people will appreciate music and paintings. However, the number of people who can truly appreciate mathematics is very small. ---Bells

57. The economic principle of thinking has been highly developed in mathematics. Mathematics is the highest form of science reached by various sciences in their high development, and various 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. (Polya)

59. Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will wag its tail. ---AL Cauchy

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

61. If anyone does not know that the diagonals of a square and the same sides are incommensurable quantities, then he is not worthy of the title of human being. ---Plato

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

63. 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 represents the correct method, and Z represents less empty words. ----Einstein

64. The human brain is a computer that works very reliably at a very low level of accuracy. --- Von Neumann

65. Use time to think about what you did during the day. Is it a positive sign? Or a negative sign? If it is +?, it means progress; if it is -? , we must learn lessons and take measures. ----Dimitrov

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

67. When I listen to others explaining certain mathematical problems, I often find it difficult or even impossible to understand. Then I thought, can the problem be simplified? Often, after you finally figure it out, it's actually just a simpler problem.

68. The driving force for mathematical inventions and creations is not reasoning, but the use of imagination. ---Demo Classical Quotes on Mathematics

69. Elementary mathematics is one of the most representative creations of modern thought. Its characteristic is that it links theory and practice through direct channels. ---Whitehead

70. 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 things that I have never achieved. Performance.

——Goethe

71. The essence of mathematics lies in its freedom. ——Cantor

72. Learning mathematics is to explore the mysteries of the universe. As we know, the laws of planets and strata, heat and electricity, variation and existence, all involve mathematical truths. If language reflects and reveals the voice of the Creator, then mathematics reflects and reveals the wisdom of the Creator, and repeatedly repeats the story of how things mutate into existence. Mathematics focuses and directs our energy, self-esteem, and desire to know truth and thereby live in the family of God. Just as literature induces people's emotions and understanding, mathematics inspires people's imagination and reasoning. ---Chancellor, W.E

73. Pure mathematics is the magician’s real magic wand. ---Novales

74. For every mathematics book worth reading, you must read it back and forth (Lagrangian). Now I will slightly modify and clarify this sentence. Here's how: Keep reading, but return to what you've already read from time to time to build your confidence. In addition, when you are reading and once you get stuck in difficult and boring content, you may wish to skip it temporarily and continue reading. When you discover the importance and necessity of the skipped part in the following, then go back. Study it.

75. If you cannot solve the problem raised, look around and find an appropriate related problem. Supporting questions may provide methodological assistance. It may suggest the method of solution, the outline of the solution, or the direction in which we should start working, etc. ---Polya

76. Non-mathematical induction plays an indispensable role in the study of mathematics. ---I. Schur

77. The incomparable permanence and omnipotence of mathematics and its independence of time and cultural background are direct consequences of its essence. ---Ebo

78. Genius = 1% inspiration + 99% blood and sweat. ---- Edison

A collection of elementary school mathematics famous sayings

Mathematics culture is broad and profound, involving all aspects of our lives.

Laplace said: "In mathematics, our main tools for discovering truth are induction and simulation."

Wittgenstein said: "Mathematics is a variety of proofs Skills"

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

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

Kepler said: "I have spent the best time of my life pursuing that goal... It does not matter whether modern people read it or future generations read it. It may take a hundred years to find a reader."

Napoleon said: "Only the vigorous development of mathematics in a country can show the strength of its national foundation. The development of mathematics is closely related to the good and the prosperity of the country."

Einstein said: “One of the reasons why mathematics is respected above all other sciences is because its propositions are absolutely reliable and indisputable, while other sciences are often under the influence of newly discovered facts. The danger of overturning... Another reason why mathematics has a high reputation is that mathematics enables natural science to become theoremized and gives natural science a certain degree of reliability." Qiu Chengtong said: "Modern high-energy physics. After getting to quantum physics, there are many experiments that cannot be done at all, and calculations can be done at home with pen and paper. This is not far from what mathematicians think, so mathematics has incredible power in physics."

R?ntgen Said: "The first is mathematics, the second is mathematics, and the third is mathematics."

Hua Luogeng said: "The vastness of the universe, the tinyness of particles, the speed of rockets, the ingenuity of chemical engineering, the changes in the earth, the biological "Mathematical methods are used in every aspect of our daily life." von Neumann said: "Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main indicator of scientific achievements." .

"

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

Kepler said: "Mathematics makes 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"

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

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

Leibniz said: "Use One, everything can arise from nothing."

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

Novalles said: "A mathematician is essentially a mathematician. For those who are obsessed, there is no mathematics if you are not obsessed."

Kopnin (a former Soviet philosopher) said: "When mathematicians derive equations and formulas, it is like seeing statues, beautiful scenery, hearing beautiful tunes, etc. and get full happiness"

Russell said: "What pleases me most in mathematics are those things that can be proved."

Gauss said: "Give me the most What makes you happy is not the knowledge you already know, but the continuous learning; not the things you already have, but the continuous acquisition; not the height you have reached, but the continuous climbing."

Polya said : "Start with the simplest thing"

Gauss said: "It would be better to have less, but better" "One-half proof is equal to 0"

Hilbert said : “When I listen to others explaining certain mathematical problems, I often find it difficult or even impossible to understand. Then I thought, can the problem be simplified? Often, after you finally figure it out, it's actually just a simpler problem. ”

Famous Quotes from Mathematics

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

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

3. In mathematics, our main tools for discovering truth are induction and simulation.

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

5. Mathematics makes an important contribution to the observation of nature. It explains the laws. Simple primitive elements in the structure, and the celestial bodies are built with these primitive elements.

6. Countability is the attribute that governs the entire world of quantity, and the four operations of arithmetic can be regarded as mathematicians. All equipment.

7. There will never be excessive effort in learning mathematics.

8. Mathematicians are essentially obsessed, and there is no mathematics if they are not obsessed.

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9. Mathematics is a culture that will continue to evolve.

10. The vastness of the universe, the tinyness of particles, the speed of rockets, the ingenuity of chemical engineering, the changes in the earth, and the mysteries of biology. Mathematics is used everywhere in daily life.

11. The first is mathematics, the second is mathematics, and the third is mathematics. 12. There are no other problems! It has touched the human heart so deeply.

13. The incomparable permanence and omnipotence of mathematics and its independence from time and cultural background are direct consequences of its nature.

14. Mathematics is a rational spirit that enables human thinking to be applied to the most perfect level.

15. Mathematical methods penetrate and dominate all theoretical branches of natural science. It is the main indicator of scientific achievement.

16. Mathematical knowledge is the purest logical thinking activity and the most advanced aesthetic expression of intelligence.

17. What gives me the greatest happiness is. It is not the knowledge that has been understood, but the continuous learning; it is not the existing things, but the continuous acquisition; it is not the height that has been reached, but the continuous climbing.

18. The reason why mathematics is so high. Reputation, another reason is that mathematics makes natural science theoremized and gives natural science a certain degree of reliability.

19. If anyone does not know that the diagonals of a square are on the same side, they are incommensurable quantities. , then he does not deserve the title of human being.

20. Discover every new group that is mathematical in form, because we cannot have other guidance.

21. , Mathematics is the king of science.

22. Please pay attention to the detailed errors in problem solving and remind yourself before the exam.

23. Remember: the concepts and objects in mathematics are not exclusive to mathematics. Don’t forget to use mathematics in other subjects.

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

25. 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.

26. Mathematics is a variety of proof techniques.

27. The great architecture of the universe is now beginning to appear in the form of pure mathematicians.

28. Don’t assume that just because some words in mathematics look the same as words in natural language, they mean exactly the same.

29. Mathematics is the referee and master of laws and theories.

30. We can expect that with the development of education and entertainment, more people will appreciate music and paintings. However, the number of people who can truly appreciate mathematics is very small.

31. Non-mathematical induction plays an indispensable role in the study of mathematics.

32. What delights me most in mathematics are those things that can be proven.

33. It is better to keep the conventional problem-solving methods in mind than to talk about novel problem-solving methods.

34. History makes people smart, poetry makes people witty, and mathematics makes people sophisticated.

35. Mathematics, the queen of science; number theory, the queen of mathematics.

36. Mathematics is a unique art.

37. The essence of mathematics lies in its freedom.

38. 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 at arguing.

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

40. Number theory is the oldest branch of human knowledge, yet some of its most profound secrets are closely connected with its most ordinary truths.

41. The driving force for mathematical inventions and creations is not reasoning, but the use of imagination.

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

43. Please read the examples carefully if you understand them; if you don’t understand the examples, please read them hard.

44. God created integers, and all other numbers are man-made.

45. Genius? Please look at my elbows.

46. The simple composition of integers has been the source of new life for 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 raise a large number of questions, it is full of vitality, while the lack of questions heralds the termination or decline of independent development.

50. Mathematics is God’s symbol for describing nature.

51. Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will shake 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 them. Know what it is and then know why it is.

54. When mathematicians derive equations and formulas, they get full happiness like seeing statues, beautiful scenery, hearing beautiful tunes, etc.

55. No matter how abstract any branch of mathematics is, it will one day be applied in the real world.

56. Pure mathematics is the magician’s real magic wand.

57. Mathematics is the most brilliant pearl in the crown of human wisdom.

58. Mathematics is the highest achievement in human thinking.

59. Mathematics is an infinite science.

60. A mathematician without some poetic spirit can never become a complete mathematician.

61. I always try my best to get rid of the heavy and monotonous calculations.

62. Mathematics is a deductive science. From a set of postulates, a conclusion is obtained through logical reasoning.

63. Don’t stay on the cradle of basic question types. Learn to treat basic question types as comprehensive questions assembled from parts.

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

65. 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.

66. Mathematics is symbols plus logic.

67. I have heard 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 achievements that I have never achieved.

68. The secret to learning mathematics is: solve problems, solve problems, and solve problems again.

69. In the field of mathematics, the art of asking questions is more important than the art of answering them. Kang Muer.

70. Mathematics is the key to opening the door to science.

71. Mathematics is not just about solving problems.

72. In its modern development stage, the science of pure mathematics can be said to be the most original creation of the human spirit.

Famous quotes are used as sentences to warn yourself. I hope the above content of "Collection of Famous Quotes in Mathematics" will be helpful to you. If you want to get more famous quotes, you can click on the Famous Quotes topic.