1. 纯数学是魔术家真正的魔杖。

1. Pure mathematics is the real wand of the magician.

2. 我总是尽我的精力和才能来摆脱那种繁重而单调的计算。

2. I always exert my best efforts and abilities to free myself from the heavy and monotonous calculations.

3. 一个有科学创新能力的人不但要有科学知识，还要有文化艺术修养。

3. A person with scientific innovation capability not only needs to have scientific knowledge but also needs to have cultural and artistic cultivation.

4. 如果我们想要预见数学的将来，适当的途径是研究这门学科的历史和现状。

4. If we wish to foresee the future of mathematics, the appropriate approach is to study the history and current state of this discipline.

5. 数学是无穷的科学。

5. Mathematics is the science of infinity.

6. 在数学中，我们发现真理的主要工具是归纳和模拟。

6. In mathematics, we find that the main tools for discovering truth are induction and simulation.

7. 一寸光阴一寸金，寸金难买寸光阴。

7. An inch of time is an inch of gold, but an inch of gold cannot buy an inch of time.

8. 一个人的贡献和他的自负严格地成反比，这似乎是品行上的一个公理。

8. A person's contribution is inversely proportional to their ego, which seems to be an axiom of character.

9. 多做习题，养成良好的解题习惯。

9. Do more exercises and develop good problem-solving habits.

10. 锲而舍之，朽木不折；锲而不舍，金石可镂。

10. If one perseveres and does not give up, even the hardest wood cannot be broken; if one persists without giving up, even gold and jade can be carved.

11. 把自己当傻瓜，不懂就问，你会学的更多。

11. Treat yourself like an idiot, ask questions when you don't understand, and you will learn more.

12. 生命只为两件事，发展数学与教授数学。

12. Life is for only two things: the development of mathematics and the teaching of mathematics.

13. 一个数学家越超脱越好。

13. The more detached a mathematician is, the better.

14. 调整好心态，正确对待平时的考试。?>

14. Adjust your mindset and correctly treat the exams you take daily.

15. 要正确对待平时的考试。

15. Treat regular exams properly.

16. 在现实中，不存在像数学那样有如此多的东西，持续了几千年依然是确实的如此美好。

16. In reality, there is nothing as abundant as mathematics, which has remained truly wonderful for thousands of years.

17. 绳锯木断，水滴石穿。

17. If you saw wood with a rope, it will eventually break. If you drop water drop by drop, it will eventually wear through stone.

18. 有志者事竟成。

18. "Where there's a will, there's a way."

19. 尺有所短；寸有所长。物有所不足；智有所不明。

19. Every ruler has its shortcomings; every inch has its length. Every object has its deficiencies; every intellect has its ignorance.

20. 新的数学方法和概念，常常比解决数学问题本身更重要。

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

21. 发现每一个新的群体在形式上都是数学的，因为我们不可能有其他的指导。

21. Discover that each new group is formally mathematical, because we cannot have any other guidance.

22. 上帝创造了整数，所有其余的数都是人造的。

22. God created integers, and all the rest are man-made.

23. 如果我继承可观的财产，我在数学上可能没有多少价值了。

23. If I inherit considerable wealth, I may have very little value in mathematical terms.

24. 数学中的一些美丽定理具有这样的特性：它们极易从事实中归纳出来，但证明却隐藏的极深。

24. Some beautiful theorems in mathematics have the characteristic that they are extremely easy to generalize from facts, but their proofs are deeply hidden.

25. 数学家本质上是个着迷者，不迷就没有数学。

25. A mathematician is essentially an enthusiast; without fascination, there is no mathematics.

26. 第一是数学，第二是数学，第三是数学。

26. The first is mathematics, the second is mathematics, the third is mathematics.

27. ldquo;如果谁不知道正方形的对角线同边是不可通约的量，那他就不值得人的称号。

27. "If anyone does not know that the diagonal of a square is an incommensurable quantity with its side, he does not deserve the title of a human being."

28. 石可破也，而不可夺坚；丹可磨也，而不可夺赤。

28. Stones can be broken, but their hardness cannot be taken away; cinnabar can be ground, but its redness cannot be taken away.

29. 给我五个系数，我讲画出一头大象；给我六个系数，大象将会摇动尾巴。

29. Give me five coefficients, and I can draw an elephant; give me six coefficients, and the elephant will wave its tail.

30. 少壮不努力，老大徒悲伤。

30. If one does not strive when young, one will only regret in old age.

31. 纯数学这门科学再其现代发展阶段，可以说是人类精神之最具独创性的创造。

31. Pure mathematics, in its modern development stage, can be said to be the most creative and original creation of the human spirit.

32. 一个没有几分诗人气的数学家永远成不了一个完全的数学家。

32. A mathematician who lacks a bit of poetic temperament will never be a complete mathematician.

33. 不管数学的任一分支是多么抽象，总有一天会应用在这实际世界上。

33. No matter how abstract any branch of mathematics may be, it will eventually be applied to this real world.

34. 读读欧拉，读读欧拉，他是我们大家的老师。

34. Read Euler, read Euler, he is our teacher to all.

35. 数学，科学的女皇；数论，数学的女皇。

35. Mathematics, the queen of sciences; number theory, the queen of mathematics.

36. 青，取之于蓝而青于蓝；冰，水为之而寒于水。

36. Blue, taken from indigo, is yet bluer; Ice, formed from water, is yet colder than water.

37. 精诚所加，金石为开。

37. With sincerity and perseverance, even gold and jade can be opened.

38. 在数学中最令我欣喜的，是那些能够被证明的东西。

38. What amazes me most in mathematics is the things that can be proven.

39. 思维的运动形式通常是这样的：有意识的研究-潜意识的活动-有意识的研究。

39. The form of movement of thought is usually as follows: conscious study - subconscious activity - conscious study.

40. 上帝是一位算术家。

40. God is a mathematician.

41. 如果谁不知道正方形的对角线同边是不可通约的量，那他就不值得人的称号。

41. If anyone does not know that the diagonal of a square is incommensurable with its side, he does not deserve the title of a human being.

42. 宇宙的伟大建筑是现在开始以纯数学家的面目出现了。

42. The grand architecture of the universe is now beginning to appear in the face of the pure mathematician.

43. 重视课堂的学习效率。

43. Emphasize the learning efficiency in the classroom.

44. 无限！再也没有其他问题如此深刻地打动过人类的心灵。

44. Infinity! There is no other question that has so profoundly touched the human heart.

45. 若要功夫深，铁杵磨成针。

45. If one wants to master a skill, one must grind an iron rod into a needle.

46. 用心智的全部力量，来选择我们应遵循的道路。

46. Use the full force of your intellect to choose the path we should follow.

47. 整数的简单构成，若干世纪以来一直是使数学获得新生的源泉。

47. The simple structure of integers has been a source of new vitality for mathematics for several centuries.

48. 天行健，君子以自强不息。

48. The heavens are strong and enduring; thus, the superior man never ceases to cultivate himself.

49. 数论是人类知识最古老的一个分支，然而他的一些最深奥的秘密与其最平凡的真理是密切相连的。

49. Number theory is one of the oldest branches of human knowledge, yet some of its deepest secrets are closely connected to its most ordinary truths.

50. 一个人就好像一个分数，他的实际才能好比分子，而他对自己的估价好比分母。分母越大，则分数的值就越小。

50. A person is like a fraction, with their actual abilities being the numerator and their self-assessment being the denominator. The larger the denominator, the smaller the value of the fraction.

51. 直接向大师们而不是他们得的学生学习。

51. Learn directly from the masters rather than their students.

52. 在数学的领域中，提出问题的艺术比解答问题的艺术更为重要。

52. In the field of mathematics, the art of posing problems is more important than the art of solving them.

53. 只要一门科学分支能提出大量的问题，它就充满着生命力，而问题缺乏则预示着独立发展的终止或衰亡。

53. As long as a scientific branch can propose a large number of questions, it is full of vitality, while the lack of questions predicts the termination or decline of independent development.

54. 数学是各式各样的证明技巧。

54. Mathematics is a variety of proof techniques.

55. 一个数学家的目的，是要了解数学。历史上数学的进展不外两途：增加对于已知材料的了解，和推广范围。

55. A mathematician's aim is to understand mathematics. Historically, the progress of mathematics has been through two main avenues: increasing understanding of the known material and expanding the scope.

56. 日日行，不怕千万里；常常做，不怕千万事。

56. Every day's journey, fear not ten thousand miles; every day's work, fear not ten thousand things.

57. 业精于勤，荒于嬉。

57. Skill is honed through diligence and lost through idleness.

58. 数学，科学的皇后；算术，数学的皇后。

58. Mathematics, the queen of sciences; arithmetic, the queen of mathematics.

59. 可以数是属统治着整个量的世界，而算数的四则运算则可以看作是数学家的全部装备。

59. Numbers are the dominators of the entire world of quantity, while the four fundamental arithmetic operations can be regarded as the entire arsenal of mathematicians.

60. 数学主要的目标是公众的利益和自然现象的解释。

60. The main objective of mathematics is the public interest and the explanation of natural phenomena.

61. 观察可能导致发现，观察将揭示某种规则、模式或定律。

61. Observation may lead to discovery, and observation will reveal some rules, patterns, or laws.

62. 大多数人想要改造这个世界，但却罕有人想改造自己。

62. Most people want to transform the world, but few people want to transform themselves.

63. 积极的人在每一次忧患中都看到一个机会， 而消极的人则在每个机会都看到某种忧患。

63. Positive people see opportunities in every adversity, while negative people see some form of adversity in every opportunity.

64. 伟人之所以伟大，是因为他与别人共处逆境时，别人失去了信心，他却下决心实现自己的目标。

64. The greatness of the great lies in the fact that when others lose confidence in adversity, he resolves to achieve his goals.

65. 当你感到悲哀痛苦时，最好是去学些什么东西。学习会使你永远立于不败之地。

65. When you feel sad and upset, it is best to learn something. Learning will keep you always in a winning position.

66. 世界上那些最容易的事情中，拖延时间最不费力。

66. Among the easiest things in the world, procrastinating is the least effortful.

67. 一个有信念者所开发出的力量，大于99个只有兴趣者。

67. The power developed by a believer is greater than that of 99 individuals who only have an interest.