1. David said (the father of algebra):? There are no unsolvable problems?
2. Hua said: if the number is small, it will be less intuitive. If the number is small, it will be difficult to be nuanced. Say it again? There are two necessary processes to lay a good foundation of mathematics: first learn to understand? From thin to thick? ; Digestion and refining? From thick to thin
3. What gives me the greatest happiness is not knowing knowledge, but learning constantly; Not what you already have, but what you keep getting; It's not the height we reach, but the constant climbing. Gauss
Einstein said: Whenever my mind has no problems to think about, I like to re-verify the theorems I already know. There is no purpose in doing this, just to give yourself a chance to fully enjoy the pleasure of focusing on thinking.
The main goal of mathematics is the public interest and the explanation of natural phenomena. Fourier
6. Mathematics is a rational spirit, which enables human thinking to be applied to the most perfect degree. Klein
7.Karagiodori (Greek mathematician of function theory) said: Learning mathematics will never lead to excessive enthusiasm? Niu B believes that mathematics is one of the main forms of free creativity of human mind besides language and music, and mathematics has become a medium to understand everything in the universe through theoretical construction. Therefore, mathematics must continue to be 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. -from the German mathematician Herman Wey.
8. Mathematics is a tool of knowledge and a source of other knowledge tools. All the sciences that study order and measurement are related to mathematics. Descartes
9. Fourier said:? The main goal of mathematics is the public interest and the explanation of natural phenomena?
10. Huang (a professor at National Taiwan University) said: Guiding definitions can often start with counterexamples?
1 1. Mathematics is a clever art.
12. Mathematics is the queen of science and number theory is the queen of mathematics. Gauss music can inspire or soothe feelings, painting can make people pleasing to the eye, poetry can impress people, philosophy can make people gain wisdom, science can improve material life, but mathematics can give them all. Klein
13. Plato said: Mathematics is the highest form of all knowledge?
14. Numbers dominate the universe. Pythagoras
15. Mathematics is the highest achievement of human thinking. Misra
16. Hua said: The size of the universe, the tiny particles, the speed of rockets, the ingenuity of chemical engineering, the change of the earth, the mystery of biology and the complexity of daily life require mathematics everywhere. ?
17.？ I owe my success to careful thinking. Only by thinking constantly can we reach the other side of discovery?
18. I always try my best to get rid of that heavy and monotonous calculation. Napier
Paulia said: My interest in mathematics is not over yet. ?
20. Von Newman said: Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol of measuring scientific achievements. ?
2 1. Newton said: I have no extraordinary intelligence, but I just insist on thinking disdainfully. Do your best today, maybe you can do better tomorrow?
22. Wilstrass said: If you don't become a poet to some extent, you will never become a perfect math teacher?
23. Oscar Wilde (President of the American Association for Mathematics Learning and Understanding) said: Mathematics is an evolutionary culture?
24. condorcet said: Euler likes to amuse students and surprise them during lectures?
Any branch of mathematics, no matter how abstract, will be applied to the real world one day. Lobachevsky
26. Mathematics is an evolving culture. Wilder
27. paul langevin (legal mathematician) said? There is no harm in adding history to math teaching?
28. Hua said: Looking for a chess master? . Only if you are not afraid to expose your weaknesses in front of the Almighty, can you make continuous progress and learn by yourself. Not afraid of the low starting point, afraid of the end?
29. No problem can touch people's emotions as deeply as infinity, and few other concepts can stimulate reason to produce rich ideas as infinity, but no other concepts need to be clarified as infinity. Hilbert
In the field of mathematics, the art of asking questions is more important than the art of answering questions. Kang? A poet and lead singer
3 1. Newton said: Every goal, I want it to stay in front of my eyes, from the first dawn, keep it, and slowly spread it out until the whole earth is bright?
32. Philosophers also want to learn mathematics precisely because they must jump out of the vast sea of phenomena and grasp the real essence. It is precisely because this is a shortcut for the soul to transition to truth and eternity. -Plato
33. Su (a mathematician in mainland China) said: When learning mathematics, you should do more exercises and think while doing it. Predict it and know it?
Mathematicians are as happy when they derive equations and formulas as when they see the beauty of statues and hear beautiful tunes. Kopnin
35. Ordos said? Have a short rest in the grave?
36. Another reason why mathematics has a high reputation is that mathematics theorizes natural science and gives it a certain degree of reliability. [Name] Albert Einstein (Jewish theoretical physicist)
37. Mathematics is a spirit, a rational spirit. It is this spirit that inspires, encourages and drives human thinking to be applied to the most perfect degree, and it is this spirit that tries to decisively influence human material morality and social life; Trying to answer questions about human existence; Strive to understand and control nature; Try your best to explore and establish the deepest and most perfect connotation of the knowledge you have learned. Klein Mathematics in Western Culture
38. Klein (American mathematician) said: Mathematics is a rational spirit, which can apply human thinking to the most perfect degree?
39. Mathematicians are fascinated by nature. Without infatuation, there is no math. Novales
40. When I listen to others explaining some math problems, I often find it difficult or even incomprehensible. At this time, I thought, can we simplify the problem? Often after the final clarification, it is actually just a simpler question. Hilbert
4 1. Russell said: What makes me most happy about mathematics is what can be proved?
42. After modern high-energy physics has reached quantum physics, many experiments can't be done at all, which is not much different from what mathematicians think, so mathematics has incredible power in physics. shing tung yau
43. Mathematics is the highest form of all knowledge. Plato
44. Some beautiful theorems in mathematics have such characteristics: they can be easily summarized from facts, but their proofs are extremely hidden. Gauss
45. Aristotle said that thinking begins with doubt and surprise?
46. Engels (philosopher of dialectics of nature) said: Mathematics is the study of quantitative relations and spatial forms in real life.
47. Euclid said: things that pass by will eventually pass by, but the patterns in the sky will never change? Hua said: The greatest expectation is to work until the last moment of life? For these mathematicians who have devoted their lives to mathematics, even at the last point of their life journey, are they still sticking to their original wishes?
48. One reason why mathematics is more respected than all other sciences is that his proposition is absolutely reliable and indisputable, while other sciences are often in danger of being overthrown by newly discovered facts. [Name] Albert Einstein (Jewish theoretical physicist)
49. Mathematics is an infinite science. Hermanville
50. In mathematics, it is very important to know what is important and what is not. Hironaka Heisuke
5 1. Gauss said:? What gives me the greatest happiness is not knowing knowledge, but learning constantly; Not what you already have, but what you keep getting; Not the height you reached, but the constant climbing?
52. The essence of mathematics is freedom. Kangyier
53. Knowles said? Mathematicians are fascinated by nature. No infatuation, no math?
Newton said: one example is more effective than ten theorems?
55. Mathematics is an infinite science. Herman Weil
56. Mathematics is a spirit, a rational spirit. It is this spirit that inspires, encourages and drives human thinking to be applied to the most perfect degree, and it is this spirit that tries to decisively influence human material morality and social life; Trying to answer questions about human existence; Strive to understand and control nature; Try your best to explore and establish the deepest and most perfect connotation of the knowledge you have learned. -Klein mathematics in western culture
Newton said: If I can see farther, it is because I stand on the shoulders of giants?
Galileo said: Give me space-time and logarithm, and I can create a universe. Is the Book of Nature written in the language of mathematics? Newton said:? No great discovery without bold speculation? Halmos said? The creation of mathematics can never be achieved by inference alone. At the beginning, there are usually some vague guesses, trying to figure out the possible popularization, and then drawing an uncertain conclusion. Then sort out the train of thought until you see the clues of the facts, and it often takes a lot of effort to put everything into logical proof. This process cannot be accomplished overnight. It is common to experience many failures and setbacks, guess and imitate again and again, and waste months in temptation. ?
59. Leibniz said: With one, everything can be created from nothing?
60. Cauchy said: People always die. However, will their performance last forever? .
6 1.Paulia said? Start with the simplest?
62. Less is better, but better. Gauss
Descartes said: Mathematics is the tool of knowledge and the source of other knowledge tools. All the sciences that study order and measurement are related to mathematics. ?
64.Ramanuyan (national treasure of Indian mathematics) said: Genius? Would you please look at my elbow?
65. What pleases me most about mathematics is what can be proved. Russell
66. Einstein said: The inside of the circle represents what I have learned at the moment, and there is an infinite blank outside the circle. As the circle grows bigger, the blank of circle contact becomes bigger and bigger? . ? Between genius and diligence, I chose diligence without hesitation, because it is the promoter of all achievements in the world? . ? I've been thinking about it for months and years. Ninety-nine times I was wrong and the hundredth time I was right?
67. The essence of mathematics lies in freedom. Kang? A poet and lead singer
Laplace said: In mathematics, the main tools for us to find truth are induction and simulation? There is no doubt that honest quotes can touch people's emotions as deeply as infinity, and few other concepts can stimulate reason to produce rich ideas as infinity. However, there is no other concept that needs to be clarified as infinity. -Hilbert (Hilbert)
69. Philosophers also want to learn mathematics, precisely because he must jump out of the vast phenomenon and grasp the real essence. It is precisely because this is a shortcut for the soul to transition to truth and eternity. Plato
70. As long as a branch of science can ask too many questions, it is full of vitality, and the lack of questions indicates the termination or decline of independent development. -Hilbert
7 1. The court said: Mathematics is the brightest pearl in the crown of human wisdom?
72. Abel said. I want to live! I still have a lot of work to finish? . . ?
Kepler said: Mathematics has made an important contribution to the observation of nature, which explains the simple primitive elements in the regular structure, with which celestial bodies were built?
Qiu Chengtong said: after modern high-energy physics came to quantum physics, many experiments could not be done at all, which was not far from what mathematicians thought, so mathematics had incredible power in physics?
75. Chen Shengshen said: When I wake up in the morning, the first thing I think about is math. My life is mathematics; The lifelong pursuit is mathematics, which has never slackened for decades, and it is still the case at this moment. ? Say it again? Studying hard doesn't mean reading in the room every day, or just doing exercises, but thinking about mathematics often. I spend at least seven or eight hours thinking about math every day. ?
76. Abel, a Norwegian mathematician, began to solve the quintic equation at the age of, and became the first person to prove that there was no formula solution to the quintic equation at the age of. He made outstanding achievements in the theory of elliptic functions at the age of 80. How much he wants to live and solve some math problems.
77. It has been written to pursue that goal in the best time of my life. It doesn't matter whether modern people read it or future generations read it. It may take a hundred years to get readers. Kepler
78. Pure mathematics enables us to discover concepts and laws related to these concepts, which gives us the key to understanding natural phenomena.
79. History makes people wise, poetry witty, mathematics subtle, philosophy deep, morality grave and logic rhetoric able to contend.
In the field of mathematics, the art of asking questions is more important than the art of answering questions.
8 1. No problem can touch people's emotions as deeply as infinity, and few other concepts can stimulate rationality to produce rich ideas and new ideas as infinity, but no other concepts need to be clarified as infinity.
82. Only with the vigorous development of mathematics can a country show its national strength. The development and perfection of mathematics are closely related to the prosperity of the country. Napoleon
83. Mathematics is indeed a wonderful masterpiece, just like the creation of a painter or poet, it is the synthesis of ideas; Like the synthesis of colors or words, there should be internal harmony. For mathematical concepts, beauty is her first touchstone; There is no deformed and ugly math in the world.
In the field of mathematics, the art of asking questions is more important than the art of answering questions.
85. Mathematics is a spirit, a rational spirit. It is this spirit that inspires, promotes, inspires and drives human thinking to the most perfect degree, and it is this spirit that tries to decisively influence human material, moral and social life; Trying to answer questions about human existence; Strive to understand and control nature; Try your best to explore and establish the deepest and most perfect connotation of the knowledge you have learned. Klein mathematics in western culture.
86. Music can stimulate or soothe feelings, painting can make people pleasing to the eye, poetry can touch people's hearts, philosophy can make people gain wisdom, science can improve material life, but mathematics can give all of the above.
87. For us, the value of mathematical knowledge lies not only in its powerful tool, but also in the perfection of mathematics itself. In the internal or external development of mathematics, we have seen the purest logical thinking activities and the most advanced aesthetic embodiment of wisdom and vitality.
88. Some beautiful theorems in mathematics have the following characteristics: they can be easily summarized from facts, but their proofs are extremely hidden.
89. As long as a branch of science can raise a large number of questions, it is full of vitality, and no questions indicate the termination or decline of independent development.
90. In addition to language and music, mathematics is one of the main manifestations of the free creativity of human mind, and mathematics has become a medium to understand everything in the universe through theoretical construction. Therefore, mathematics must remain the main component of knowledge, skills and culture, while knowledge and skills must be passed on to the next generation and culture must be passed on to the next generation. Recorded by German mathematician Herman Weller.
9 1. No problem can touch people's emotions as deeply as infinity, and few other concepts can stimulate reason to produce rich thoughts as infinity, but no other concepts need to be clarified as infinity. Hilbert (Hilbert)
92. As long as a branch of science can raise a large number of questions, it is full of vitality, and the absence of questions indicates the termination or decline of independent development.