1. Mathematics is a variety of proof techniques. Wittgenstein

2. What gives me the greatest happiness is not the knowledge I already know, but the continuous learning; not the things I already have, but the continuous acquisition; not the heights I have reached, but the continued acquisition. Keep climbing. Gauss

3. Mathematics is a culture that will continue to evolve. Wilder

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

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

6. 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

7. 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. Lucas

8. Some beautiful theorems in mathematics have this characteristic: they are easily summarized from the facts, but the proofs are extremely hidden. Gauss

9. Pure mathematics can be practical and useful, and applied mathematics can also be beautiful and elegant. Halmos

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

11. To learn knowledge, you must be good at thinking, thinking, and thinking again. I relied on this learning method to become a scientist. Einstein

12. Mathematics is the highest achievement in human thinking. Misra

13. God created integers, all other numbers are man-made. Kronecker

14. The art of education is to make students like what you teach. Rousseau

15. A mathematician who is not somewhat poetic can never become a complete mathematician. Weierstrass

16. 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, and the complexity of daily life, mathematics is used everywhere. Hua Luogeng

17. Mathematics is the queen of science, and number theory is the queen of mathematics. Gauss

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

19. The first is mathematics, the second is mathematics, and the third is mathematics. Roentgen

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

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

22. One of the reasons why mathematics is respected more than all other sciences is because its propositions are absolutely reliable and indisputable, while other sciences are often at the mercy of newly discovered facts. Danger of overthrow. Einstein

23. The main goal of mathematics is the public interest and the explanation of natural phenomena. Fourier

24. Observation may lead to discovery. Observation will reveal some kind of rule, pattern or law. Polya

25. In educating children, the first priority is to stimulate interest and love, otherwise it will just be cramming and meaningless. Montaigne

26. Mathematics is a rational spirit that enables human thinking to be used to the most perfect degree. Klein

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

28. In reality, there are not so many things like mathematics, which have lasted for thousands of years and are still so beautiful. Sullivan Indeed

29. In mathematics, it is important to distinguish what is important and what is not important, and to know what to choose. Guangzhong Pingyou

30. The science of pure mathematics can be said to be the most original creation of the human spirit in its modern development stage. Whitehead

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

32. Mathematics, the queen of science; arithmetic, the queen of mathematics. ——Gauss

33. Treat knowledge like food. We don’t live to know, just as we don’t live to eat. Luskin

34. 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. Hilbert

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

36. 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

37. Mathematics, like music or poetry, obviously does have aesthetic value. Jacobi

38. 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

39. We must dare to do subtraction in learning, that is, subtracting the parts that have been solved by predecessors to see what problems are still unresolved and need us to explore and solve them. Hua Luogeng

40. 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. Kepler

41. History makes people smart, poetry makes people witty, and mathematics makes people sophisticated. Bacon

42. 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

43. New mathematical methods and concepts are often more important than solving mathematical problems themselves. Hua Luogeng

44. Teachers do not teach people with the results obtained. The most important thing is to teach people how to obtain results. ──Liang Qichao

45. Social progress is the crystallization of human pursuit of beauty. Marx

46. Mathematical knowledge is the purest logical thinking activity and the most advanced aesthetic expression of intellectual vitality. Princeham

47. After modern high-energy physics reaches quantum physics, there are many experiments that cannot be done at all. You can use paper and pen to calculate at home. This is not far from what mathematicians think, so mathematics Has incredible physical power. Qiu Chengtong

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

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

50. 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

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

52. 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

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

54. 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

55. 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. Bacon

56. Mathematics is the theory of studying abstract structures. Bourbaki School

57. No question can touch people's emotions as deeply as infinity. There are few other concepts that can stimulate the mind to produce fruitful thoughts like infinity. However, there is no Other concepts can be as demanding of elucidation as infinity. Hilbert

58. 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

59. Mathematics is the referee and master of laws and theories. Benjamin

60. Every new group discovered is mathematical in form because we can have no other guidance. Darwin

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

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

63. Mathematics is a unique art. Halmos

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

65. Arousing the expression of originality and the joy of seeking knowledge is the supreme secret of being a teacher. Einstein

66. Knowledge itself does not tell people how to use it. The method of application is outside the books. It is a craft that cannot be learned without experimentation. Bacon

67. Do further research on the theorem that has been correctly identified and explore its new proof method, just because the existing proof lacks the charm of beauty. Klein

68. Mathematicians are essentially obsessed. Without obsession, there would be no mathematics. Nuvales

69. Mathematics is one of the most valuable research spirits. Hua Luogeng

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

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

A collection of famous mathematical quotes

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

2. The main goal of mathematics is the public interest and the explanation of natural phenomena.

3. 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.

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

5. Unlimited! No other question has touched the human heart so deeply.

6. 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.

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

8. If others think about the truth of mathematics as deeply and persistently as I do, they will also find my discoveries.

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

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

11. 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.

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

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

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

15. 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.

16. Get full happiness from beautiful scenery, listening to beautiful tunes, etc.

17. 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.

18. Mathematics is the highest form of all knowledge.

19. Although we are not allowed to see through the secrets of the nature of nature and thus understand the true causes of phenomena, it may still happen that the necessary fictional assumptions are enough to explain many phenomena.

20. 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.

21. As long as a branch of science can raise too many questions, it is full of vitality, while the lack of questions indicates the end or decline of independent development.

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

23. 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.

24. The simple composition of integers has been the source of new life for mathematics for centuries.

25. Read Euler, read Euler, he is the teacher of all of us.

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

27. In the world of mathematics, what matters is not what we know, but how we know it.

28. One reason why mathematics is respected above all other sciences is because its propositions are absolutely reliable and indisputable, while other sciences are often in danger of being overturned by newly discovered facts.

29. 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.

30. Discover every new group that is mathematical in form because we can have no other guidance.

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

32. Observation may lead to discovery. Observation will reveal some regular pattern or law.

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

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

35. Self-esteem and desire to know the 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.

36. 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.

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

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

39. Some beautiful theorems in mathematics have this characteristic: they are easily summarized from the facts, but the proofs are extremely hidden.

40. A person is like a fraction, his actual ability is like the numerator, and his self-esteem is like the denominator. The larger the denominator, the smaller the value of the fraction.

41. If a person often cannot concentrate, let him study mathematics. Because when proving a mathematical theorem, if you lose concentration even for a moment, you must start over.

42. The numbers in late sequence are not miraculous, they are tangible and can be detected, and there are numbers that can be deduced.

43. What gives me the greatest happiness is not the knowledge I already know, but the continuous learning; not the things I already have, but the continuous acquisition; not the height I have reached, but the continuous climbing. .

44. Genius is not trustworthy, intelligence is unreliable, and it is unimaginable to make great scientific inventions by chance.

45. 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.

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

47. Mathematicians usually first discover a theorem through intuition; the result is first likely to him, and then he sets out to create a proof.

48. The human brain is a computer that works very reliably at a very low level of accuracy.

49. Mathematics points out that the maximum value of a function is often obtained at the most unstable point. People who pursue extremes will lose their inner balance.

50. We can hope 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.

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

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

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

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

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

56. 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.

57. It may sound personal, but the power of mathematics is that it avoids all unnecessary thinking and it saves astonishing mental labor.

58. The first is mathematics, the second is mathematics, and the third is mathematics.

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

60. 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.

61. Mathematicians are essentially obsessed. Without them, there would be no mathematics.

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

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

64. When learning mathematics, you will never work too hard.

65. 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.

66. Mathematics is the theory of studying abstract structures.

67. 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.

68. Mathematics is the queen of science, and number theory is the queen of mathematics.

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

70. 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.

71. The simple composition of integers has been the source of new life for mathematics for centuries.

72. A person with the potential for scientific innovation must not only have scientific knowledge, but also have cultural and artistic accomplishments.

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

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

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

A collection of famous sayings in primary school mathematics

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 a country with vigorous development of mathematics can show the strength of its national foundation.

The development of mathematics is closely related to the highest 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 constantly in danger of being overturned by newly discovered 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. ”

Qiu Chengtong said: “After modern high-energy physics reaches quantum physics, there are many experiments that cannot be done at all. You can use paper and pen to calculate at home. This is not far from what mathematicians think, so mathematics is It has incredible power in physics."

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

Hua Luogeng said: "The universe is so big, the size of the particles is Micro, the speed of rockets, the ingenuity of chemical engineering, the changes in the earth, the mysteries of biology, the complexity of daily life, mathematics is used everywhere. "

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

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 from the same thing."

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