1. Mathematics is indeed a beautiful masterpiece, just like the creation of a painter or poet - a synthesis of ideas; like the synthesis of colors or words, it should have an inner harmony. For mathematical concepts, beauty is her first touchstone; there is no such thing as ugly mathematics in the world.
2. Pure mathematics enables us to discover concepts and the laws that connect these concepts. These concepts and laws give us the key to understanding natural phenomena.
3. History makes people smart, poetry makes people witty, mathematics makes people sophisticated, philosophy makes people profound, morality makes people serious, logic and rhetoric make people eloquent.
4. In the field of mathematics, the art of asking questions is more important than the art of answering them.
5. No question can touch people's emotions as deeply as infinity. Few other concepts can stimulate the intellect to produce fruitful thoughts like infinity. However, there is no other idea. The concept of infinity needs to be clarified.
6. In the field of mathematics, the art of asking questions is more important than the art of answering them.
7. 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.
8. The value of mathematical knowledge to us is not only because it is a powerful tool, but also because of the perfection of 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.
9. Some beautiful theorems in mathematics have the following characteristics: they are easily summarized from the facts, but the proofs are extremely hidden.
10. 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.
11. Mathematics is a spirit, a rational spirit. It is this spirit that inspires, promotes, inspires and drives human thinking to the most perfect level. It is also this spirit that tries to decisively influence human material, moral and social life; it tries to answer questions about human existence. questions; strive to understand and control nature; strive to explore and establish the deepest and most perfect connotation of acquired knowledge. ——Klein "Mathematics in Western Culture".
12. Mathematics is one of the main expressions of the free creativity of the human mind, in addition to language and music, and mathematics has become a medium for understanding everything in the universe through the construction of theories. Therefore, mathematics must remain the main component of knowledge, skills and culture, and knowledge and skills must be passed on to the next generation, and culture must be passed on to the next generation. ——Excerpted from the German mathematician Hermann Weyl
Famous sayings in mathematics
1. 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.
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 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 simple primitive elements in the regular structure, and the celestial bodies are built with these primitive elements.
6. Countability governs the entire world of quantity, and the four arithmetic operations can be regarded as all the equipment of a mathematician.
7. When learning mathematics, you will never work too hard.
8. Mathematicians are essentially obsessed. Without them, there would be no mathematics.
9. Mathematics is a culture that will continue to evolve.
10. 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.
11. The first is mathematics, the second is mathematics, and the third is mathematics.
12. Infinite! No other question 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 used to the most perfect degree.
15. Mathematical methods penetrate and dominate all theoretical branches of natural science. It has increasingly become the primary measure of scientific achievement.
16. Mathematical knowledge is the purest logical thinking activity and the most advanced aesthetic expression of intellectual vitality.
17. 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. .
18. 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.
19. 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.
20. Discover every new group that is mathematical in form because we can have no 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; please read the examples if you don’t understand them.
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 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 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.
Collection of Mathematics Quotations
1. Most mathematical creations are the result of intuition, a more or less direct perception or quick understanding of facts, rather than any lengthy or formal reasoning. The process is irrelevant. Lucas
2. Mathematics is a variety of proof techniques. Wittgenstein
3. Mathematics is the theory of studying abstract structures. 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. AL Cauchy
6. The great architecture of the universe is now beginning to appear in the form of pure mathematicians. JH Jingsi
7. The science of pure mathematics can be said to be the most original creation of the human spirit in its modern development stage. Huaidehai
8. Mathematics is a unique art. Halmos
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. Darwin
11. 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. Bales
12. In the field of mathematics, the art of asking questions is more important than the art of answering them. Cantor
13. Mathematics is the highest achievement in human thinking. Mishra
14. The driving force for mathematical inventions and creations is not reasoning, but the use of imagination. Demo
15. Mathematics is the most brilliant pearl in the crown of human wisdom. Court
16. Infinite! No other question has touched the human heart so deeply. Hilbert
17. I always try my best to get rid of the heavy and monotonous calculations. Napier
18. Mathematics is God’s symbol for describing nature. Hegel
19. God created integers, and all other numbers are man-made. L Kronecker
20. God created integers, and all other numbers are man-made. Kronecker
21. Numbers rule the universe. Pythagoras
22. 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
23. Countability governs the entire world of quantity, and the four arithmetic operations can be regarded as all the equipment of a mathematician. Maxwell
24. Mathematics is the king of science. Gauss
25. The essence of mathematics lies in its freedom. ——Cantor
26. Numbers govern the universe. Pythagoras
27. Observation may lead to discovery. Observation will reveal some kind of rule, pattern or law. Polya
28. Every new group discovered is mathematical in form because we can have no other guidance. CG Darwin
29. The simple composition of integers has been the source of new life for mathematics for centuries. GD Birkhoff
30. The incomparable permanence and omnipotence of mathematics and its independence of time and cultural background are direct consequences of its essence. Ebo
31. A mathematician without some poetic spirit can never become a complete mathematician. Weierstrass
32. Mathematics is the key to opening the door to science. Bacon
33. Mathematics is the highest form of all knowledge. Plato
34. The more detached a mathematician is, the better.
35. 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
36. Mathematics, the queen of science; number theory, the queen of mathematics. CF Gauss
37. New mathematical methods and concepts are often more important than solving mathematical problems themselves. Hua Luogeng
38. This is a reliable rule. When the author of mathematical or philosophical works writes in vague and profound words, he is talking nonsense. A.N. Whitehead
39. In mathematics, our main tools for discovering truth are induction and simulation. Laplace
40. 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 Whitehead
41. The incomparable permanence and omnipotence of mathematics and its independence of time and cultural background are direct consequences of its essence. A Ebo
42. Pure mathematics is the magician’s real magic wand. Novales
43. Non-mathematical induction plays an indispensable role in the study of mathematics. Shure
44. 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.
Goethe
45. 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
46. Mathematics is a culture that will continue to evolve. Wilder
47. Mathematics is symbols plus logic. Russell
48. Infinite! No other question has touched the human heart so deeply. D Hilbert
49. Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will wag its tail. Cauchy
50. God is an arithmetician. Jacobi
Famous quotes from junior high school mathematics
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 just 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 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. Mishra
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 living things, 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. Ruskin
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, many experiments 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 elementary school mathematics famous quotes
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 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 that the above content of "Collection of Mathematics Culture and Mathematics Quotes" will be helpful to you. If you want to get more famous quotes, you can click on the special topic of "Gifts from Mathematics and Literature Teachers".