Introduction: In ancient China, mathematics was called arithmetic, also known as arithmetic, and was finally changed to mathematics. Arithmetic in ancient China was one of the six arts (among the six arts, it was called "number"). Mathematics originated from human beings In the early production activities, from the perspective of mathematics itself, their mathematical knowledge was only obtained from observation and experience, without comprehensive conclusions and proofs, but their contribution to mathematics must also be fully recognized. The following is a summary of mathematics that I have compiled for you. Famous people’s mottos for everyone to learn from.

1. Vedic said (the father of algebra): There is no problem that cannot be solved?

2. Hua Luogeng said: When the number lacks form, it is less intuitive, and when the shape lacks number, it is less intuitive. Difficult to understand? He also said that there are two necessary processes to lay a good foundation in mathematics: first learn to understand? From thin to thick?; then digest and refine? From thick to thin?

3. Give me the greatest happiness What is new is not knowledge already understood, but continuous learning; not existing things, but continuous acquisition; not the height reached, but continuous climbing. ?Gauss

4. Einstein said: ?Whenever my mind has no problem to think about, I like to re-verify the theorems I already know. There is no purpose in doing this, but it just gives myself a chance to fully enjoy the pleasure of concentrating on thinking?

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

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

7. Karagiodori (Greek function theory mathematician) said: ?When learning mathematics, you will never work too hard? In other words, mathematics is besides language and music. In addition, mathematics is one of the main expressions of the free creativity of the human mind, and mathematics has become a medium for understanding everything in the universe through theoretical construction. Therefore, mathematics must continue to be the main component of knowledge, skills and culture. Knowledge and skills must be passed on to the next generation, and culture must be passed on to the next generation. ——Excerpted from the words of German mathematician Hermann Weyl

8. 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

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

10. Huang Wuxiong said (Professor of National Taiwan University): ?Director When introducing definitions, can we often start with counterexamples?

11. Mathematics is a unique art. ?Halmers

12. Mathematics is the queen of science, and number theory is the queen of mathematics. Gauss (Gauss) music can inspire or soothe people's emotions, paintings can make people happy, poetry can move people's hearts, and philosophy can make people gain. Wisdom, science can improve material life, but mathematics can give all the above. ――Klein

13. Plato said: ?Mathematics is the highest form of all knowledge?

14. Numbers govern the universe. ?Pythagoras

15. Mathematics is the highest achievement of human thinking. ?Mizra

16. 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 mysteries of biology, the complexity of daily life, mathematics are used everywhere . ?

17. ?My success is attributed to careful thinking. Only through continuous thinking can we reach the other side of discovery?

18. I always try my best to Get rid of that heavy and monotonous calculation. ?Napier

19. Polya said: ?My interest in mathematics is not over yet. ?

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

21. Newton said: ?I have no extraordinary intelligence, all I have is the energy to think with disdain.

Try your best to do well today, maybe you can do better tomorrow?

22. Weierstrass said: If you don’t become a poet to some extent, you will never become a poet. Will he become a perfect mathematics teacher?

23. Wilder (President of American Mathematics Learning and Comprehension) said: Mathematics is a culture that will continue to evolve?

24. Condo Sai said: Yura likes to entertain and surprise students when he lectures.

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

26. Mathematics is a culture that will continue to evolve. ?Weld

27. Paul. Langevin (a legal mathematician) said: "In mathematics teaching, adding history has all advantages and no disadvantages"

28. Hua Luogeng said: "To play chess, you need to find a master." Only if you are not afraid of exposing your weaknesses in front of capable people can you continue to make progress? Self-study, you are not afraid of a low starting point, but you are afraid of not reaching the end?

29. No question can touch people's emotions as deeply as infinity. Few other ideas stimulate the intellect to such fruitful thought as infinity, yet no other concept demands as much elucidation as infinity. ?Hilbert

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

31. Newton said: "Every goal, I want it to stay in front of my eyes, from the first to the first dawn, keep it, slowly unfold until Until the whole earth becomes bright?

32. Philosophers also need to learn mathematics, precisely because they must jump out of the vast sea of ??ever-changing phenomena and grasp the true essence. ?Because this is the shortcut for the soul to transition to truth and eternity. ---Plato

33. Su Buqing (Mathematician from Mainland China) said: To learn mathematics, you should do more exercises and think while doing them. Predict what will happen, and then know why it will happen?

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

35. Erdos said: ?There is time to rest in the grave?

36. Another reason why mathematics has a high reputation is that mathematics makes natural science Realizing theoremization gives natural science a certain degree of reliability. ?Einstein

37. Mathematics is a spirit, a rational spirit. It is this spirit that inspires, inspires and drives human thinking to the most perfect level. It is this spirit that tries to decisively influence human material morality and social life; it tries to answer questions about human existence. ; strive to understand and control nature; strive to explore and establish the deepest and most perfect connotation of acquired knowledge. ?Klein's "Mathematics in Western Culture"

38. Klein (American mathematician) said: ?Mathematics is a rational spirit that enables human thinking to be used to the most perfect degree. ?

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

40. 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 it's finally figured out, it's actually just a simpler problem. ?Hilbert

41. Russell said: ?What delights me most in mathematics are those things that can be proven?

42. Modern high-energy physics to quantum physics In the future, there will be many experiments that cannot be done at all and can be calculated at home with pen and paper. This is not far from what mathematicians think. Therefore, mathematics has incredible power in physics.

?Qiu Chengtong

43. Mathematics is the highest form of all knowledge. ?Plato

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

45. Aristotle said: ?Thinking begins with doubt and surprise?

46. Engels (philosopher of dialectics of nature) said: ?Mathematics is the study of real life Mathematics of quantitative correlation and spatial form

47. Euclid said: "Things that are fleeting will eventually pass away, but celestial patterns are unchanging and will last forever." Hua Luogeng said:? The greatest expectation is to work until the end of one's life? For these mathematicians who have devoted their whole life to mathematics, even when they reach the last point of their life journey, will they still stick to their original wish?

48. One reason 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. ?Einstein

49. Mathematics is an infinite science. ?Herman Weyl

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

51. Gauss said: ?What gives me the greatest happiness is not the knowledge I already know, but the continuous learning; not what I already have, but the continuous acquisition; not what has been achieved. height, but continuous climbing?

52. The essence of mathematics lies in its freedom. ?Conquer

53. Novalles said: ?A mathematician is essentially a fascination. Without fascination, there would be no mathematics?

54. Newton said: ?An example is more powerful than a fascination. Are ten theorems valid?

55. Mathematics is an infinite science. -- Hermann Weyl

56. Mathematics is a spirit, a rational spirit. It is this spirit that inspires, inspires and drives human thinking to the most perfect level. It is this spirit that tries to decisively influence human material morality and social life; it tries to answer questions about human existence. ; strive to understand and control nature; strive to explore and establish the deepest and most perfect connotation of acquired knowledge. ——Klein "Mathematics in Western Culture"

57. Newton said: If I can see farther, it is because I stand on the shoulders of giants?

58. Galileo said: "Give me space time and logarithms, and I can create a universe." The books of nature are written in the language of mathematics. Newton said: "Without bold conjectures, no great discoveries can be made." Halmos said: "The creation of mathematics can never be achieved by inference alone. First, it is usually some vague guesses, trying to figure out possible generalizations, and then drawing conclusions that are not very sure." Then organize your thoughts until you see the clues to the facts. It often takes a lot of effort to put everything into logical proof. This process does not happen overnight. It requires many failures and setbacks, repeated guessing, and often months of wasted time in temptation. ?

59. Leibniz said: ?Use one, from nothing, to produce all things?

60. Cauchy said: ?People are always going to die. However, their performance lasts forever?

61. Polya said: ?Start from the simplest?

62. It is better to have less, but to do better. ?Gauss

63. Descartes said: ?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. ?

64. Ramanujan (India’s national treasure of mathematics) said: ?Genius? Please look at my elbows?

65. What fascinates me most in mathematics What's nice is the things that can be proven.

?Russell

66. Einstein said: ?The inside of the circle represents the knowledge I have learned at this moment. There is still infinite blank space outside the circle, and as the circle becomes larger and larger, the area that the circle touches The gap is getting bigger and bigger? ?Between genius and diligence, I chose diligence without hesitation, because it is the catalyst for all achievements in the world? ?I thought over and over for months and years; ninety-nine times I was wrong, but the hundredth time I was right?

67. The essence of mathematics lies in its freedom. ---Cantor

68. Laplace said: In mathematics, our main tools for discovering truth are induction and simulation. Famous sayings about integrity: No problem can be solved to infinity Few other concepts touch the human sensibility so deeply as infinity stimulates the intellect to fruitful thought, yet no other concept demands as much elucidation as infinity. ——Hilbert

69. Philosophers must also learn mathematics, precisely because they must jump out of the vast sea of ??ever-changing phenomena and grasp the true essence. ?Because this is the shortcut for the soul to transition to truth and eternity. ?Plato

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

71. Cotter said: Mathematics is the most brilliant pearl in the crown of human wisdom.

72. Abel said: I want to live! I still have A lot of work left unfinished? . ?

73. 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 from these primitive elements?

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74. 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. Therefore, mathematics is said to be in physics. Has incredible power?

75. Chen Shengshen said: When you wake up in the morning, the first thing you think about is mathematics. My life is mathematics; my lifelong pursuit of mathematics is mathematics. I have never slackened off for decades, and this is still the case now. ? He also said that studying does not mean reading in the room every day, nor does it just do exercises, but always thinking about mathematics. I spend at least seven or eight hours a day thinking about mathematics. ?

76. The Norwegian mathematician Abel began to solve the quintic equation at the age of 18, and became the first person to prove that the quintic equation has no formula solution at the age of 18. He made outstanding achievements in the theory of elliptic functions and passed away at the age of 18. How he wanted to live and solve more mathematical problems.

77. Spending the best years of my life pursuing that goal? The book is written. It doesn't matter whether it is read by modern people or by future generations. It may take a hundred years before there is a reader. ?Kepler

78. 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.

79. 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.

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

81. 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.

82. 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

83. Mathematics is indeed a beautiful masterpiece, just like the creation of a painter or poet. It is a synthesis of ideas; like the synthesis of colors or words, it should have inner harmony. For mathematical concepts, beauty is her first touchstone; there is no such thing as ugly mathematics in the world.

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

85. 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".

86. Music can inspire or soothe feelings, paintings 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.

87. 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 development of mathematics, we see the purest logical thinking activities and the most advanced aesthetic expression of intellectual vitality.

88. Some beautiful theorems in mathematics have the following characteristics: they are easily summarized from the facts, but the proofs are extremely hidden.

89. 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.

90. In addition to language and music, mathematics is one of the main expressions of the free creativity of the human mind, 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. ?Taken from the words of German mathematician Hermann Weyl.

91. 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, no other concept can. Like infinity needs to be elucidated. ?Hilbert

92. 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.