2. The problem is the core of mathematics. -P.R. halmos

As long as a branch of science can ask a lot of questions, it is full of vitality, while the lack of questions indicates the termination or decline of independent development. -Hilbert

4. Some beautiful theorems in mathematics have the following characteristics: they are easy to be induced from facts, but the proof is extremely hidden. -Gauss

Mathematics is the queen of science, while number theory is the queen of mathematics-Gauss.

6. Mathematical metaphor: Zhi Nuo, an ancient Greek philosopher, is known as the "father of paradox". He has four mathematical paradoxes that have been passed down to this day. He once said a famous saying: "The knowledge of the big circle is a little more than that of the small circle, but because the circumference of the big circle is longer than that of the small circle and the contact surface with the outside world is larger than that of the small circle, I feel more lacking in knowledge and need to study hard."

7. Learn mathematics as a language, learn the usage of each term, and be familiar with the meaning of each symbol.

8. Don't let go of any seemingly simple examples-they are often not that simple or can lead to many knowledge points.

9. Being able to use mathematical formulas does not mean being able to do mathematics.

10, if you are not a genius, you don't want to play games if you want to learn math-you think you have done it, but your math level has not improved with your ability to pass the customs-in fact, you can always remember that learning math makes you play the big game of "life" better!

1 1, impetuous people tend to say: learning mathematics is useless, you should learn something useful; -it's useless! ?

12, impetuous people easily ask: how should I learn? -Don't ask, learn.

13, impetuous people are easy to ask: Is it better to take notes on the teacher's blackboard in class or not to take notes and follow the teacher's ideas? I'm telling you, everything is fine. Just learn.

14, impetuous people are divided into two types: a) people who only wait and see without learning; B) only learn from those who don't insist. Please don't be impetuous.

15, it is better to keep the conventional problem-solving methods in mind than to talk about novel problem-solving methods.

16, mathematics is more than just solving problems.

17. One of the best ways to learn to solve problems is to study examples.

18, don't think you have solved enough problems at any time.

19, please read the math textbook and master the math standard terminology.

20. Please read carefully the examples you can understand. Please bite the bullet and don't understand examples.

2 1, don't expect to remember and master anything after reading the book the first time-please see the second and third times.

22. Don't stay in the cradle of basic questions, learn to treat basic questions as comprehensive questions made up of "assembled" parts.

23. Don't assume that some words in mathematics have exactly the same meaning just because they look the same as those in natural language.

24. The secret of learning mathematics is to solve problems, solve problems, and then solve problems.

25. Remember: the concepts and objects in mathematics are not only exclusive to mathematics, don't forget to use mathematics in other disciplines.

Please do the examples in the book yourself.

27. Please find some exercises and use the problem-solving methods learned in books!

28. Please pay attention to the details of the problem-solving mistakes and remind yourself before the exam.

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

30. Don't leave out any exercises in the book-please complete all the exercises and record the ideas for solving the problem.

3 1. When you find that your method is poor in the middle of a problem-solving idea, please don't throw it away immediately, at least after solving the problem with a new and better method, come back and re-analyze the previous idea.

32. Don't follow some unfamiliar problem-solving norms just because the topic is "small"-good habits are cultivated, not remembered at once.

33. Every time you learn a math difficulty, try to explain it to others and make them understand-you can explain it clearly, which means you really understand it.

Keep all the exercises you solve-that's one of your best accumulations.

35. Please love math!

36. Mathematical knowledge is the purest logical thinking activity and the highest level of intelligent vitality aesthetics. Plinson

37. History makes people wise, poetry makes people witty, and mathematics makes people careful. bacon

38. Mathematics is one of the most precious research spirits. -Hua

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

40. Mathematics is the judge and master of law and theory. Benjamin

4 1, music can stimulate 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 all of the above. Klein.

42. The essence of mathematics is freedom. -Cantor

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

44. 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 clarification as infinity. -Hilbert

There is a famous saying that mathematics is much bigger than science because it is the language of science. Mathematics can be used not only to write science, but also to describe life. The following are the life maxims of several famous people at home and abroad. They are all expressed by simple "mathematics" (numbers, symbols, mathematical concepts, formulas, etc.). ), and they are all profound and wonderful.

46. Wang Juzheng's percentage: China scientist Wang Juzheng has a motto about experimental failure: "If you continue, there is still a 50% hope of success, and if you don't do it, there will be 1000% failure."

47. Tolstoy's score: Tolstoy, a great Russian writer, compared people to a score when talking about the evaluation of people. He said: "A person is like a score, his practical ability is like a numerator, and his evaluation of himself is like a denominator. The larger the denominator, the smaller the value of the score. "

48. Rybakov's Constants and Variables: Russian historian Rybakov said in "The Use of Time": "Time is a constant, but for diligent people, it is a' variable'. People who use' minutes' to calculate time spend 59 times more time than those who use' hours'. "

49. Hua's negative sign: When talking about learning and exploration, Hua, a famous mathematician in China, pointed out: "To dare to do subtraction in learning is to subtract the parts that have been solved by predecessors and see what problems have not been solved. We need to explore and solve them. "

50. Edison's plus sign: The great inventor Edison used the plus sign to describe genius. He said: "Genius = 1% inspiration +99% sweat."

5 1, dimitrov's plus sign or minus sign: dimitrov, an internationally renowned worker movement activist, said when evaluating the work of a day: "We should spend time thinking about what we have done in a day, whether it is a plus sign or a minus sign. If it is a plus sign, we will make progress; If it is' one', you have to learn lessons and take measures. "

52. Einstein's formula: Einstein, the greatest scientist in modern times, wrote a formula when talking about the secret of success: A = X+Y+Z Y+Z. He explained: "A stands for success, X stands for hard work, V stands for the correct method, and Z stands for less empty talk."

53. Zhi Nuo's Circle: The ancient Greek philosopher Zhi Nuo said that learning knowledge is like this: "If you use a small circle to represent what you have learned and a big circle to represent what I have learned, then the area of the big circle will be a little more, but the blank outside the two circles is our ignorance. The bigger the circle, the more ignorant faces you contact. "

54. Learning a language is not only used to express and study science, but also to subtly express people's thoughts, personalities and pursuits, and it is so concise. As mentioned above, some aphorisms embody their great personality on the one hand, and the beauty of mathematics on the other. Let's like math, learn math well and use math well; Let's also use those mathematical aphorisms to describe our life trajectory. Our life value and contribution to mankind will be infinite.