1. 书籍是最有耐心、最能忍耐和最令人愉快的伙伴。在任何艰难困苦的时刻，它都不会抛弃你。

1. Books are the most patient, most enduring, and most delightful companions. They will never desert you in times of hardship and adversity.

2. 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。

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

3. 一首伟大的诗篇象一座喷泉一样，总是喷出智慧和欢愉的水花。

3. A great poem is like a fountain, always spouting jets of wisdom and joy.

4. 我一生的嗜好，除了**之外，就是读书。我一天不读书，就不能够生活。

4. My lifelong hobby, apart from **[insert specific hobby here],** is reading. I cannot live a day without reading.

5. 调整好心态，正确对待平时的考试。

5. Adjust your mindset and treat regular exams correctly.

6. 千里之堤，溃于蚁穴。

6. A thousand-mile dyke breaks at an ant's nest.

7. 业精于勤。毁于随；行成于思，荒于嬉。?>

7. Skill is honed through diligence; it is destroyed by carelessness. Actions are shaped through thought; they are neglected through play.

8. 教学必须从学习者已有的经验开始。

8. Teaching must start from the learners' existing experiences.

9. 书籍是前人的经验。

9. Books are the experience of the ancestors.

10. 合抱之木，生于毫末；九层之台，起于垒土；千里之行，始于足下。

10. A tree that can embrace the arms grows from a tiny sprout; a nine-story tower is built from a heap of earth; a journey of a thousand miles begins under one's feet.

11. 求学将以致用；读书先在虚心。

11. The pursuit of learning is for practical application; the first step in reading is to cultivate humility.

12. 不读书的人，思想就会停止。

12. Those who do not read, their thoughts will come to a halt.

13. 吃饭不嚼不知味，读书不想不知意。

13. Not to chew while eating is to miss the taste, and not to think while reading is to miss the meaning.

14. 学而时习之，不亦乐乎？

14. Is it not pleasant to learn and practice what one has learned?

15. 数学是科学的女王，而数论是数学的女王。

15. Mathematics is the queen of sciences, and number theory is the queen of mathematics.

16. 用心智的全部力量，来选择我们应遵循的道路。

16. Use all the power of your mind to choose the path we should follow.

17. 光景不待人，须臾发成丝。

17. The scenery does not wait for people, moments pass and hair turns to silk.

18. 务于远者，或失于近；治其外者，或患生乎内。

18. Striving for the distant may result in failure in the near; addressing external matters may lead to internal problems.

19. 学如逆水行舟，不进则退。学习如赶路，不能慢一步。

19. Learning is like rowing against the current; if you do not move forward, you will fall back. Learning is like making a journey; you cannot lag behind by even one step.

20. 恋爱不是慈善事业，不能随便施舍的。感情是没有公式，没有原则，没有道理可循的。可是人们至死都还在执着与追求。

20. Love is not a charitable endeavor; it cannot be freely given away. Emotions have no formula, no principles, no logical guidelines to follow. Yet people remain执着 (persistent) and pursue it until the end of their lives.

21. 随时保持自信，认识自己的价值，做一个能真正坚定自己的珍宝商。

21. Always maintain confidence, recognize your own value, and be a true gem merchant who can truly stand firm in your own treasure.

22. 数学之所以比一切其它科学受到尊重，一个理由是因为他的命题是绝对可靠和无可争辩的，而其它的科学经常处于被新发现的事实**的危险。

22. One reason why mathematics is respected more than all other sciences is that its propositions are absolutely reliable and uncontestable, whereas the other sciences are often in danger of being overturned by new discoveries of facts.

23. 粮食补身体，书籍丰富智慧。

23. Grains nourish the body, books enrich the mind.

24. 事类相推，各有攸归，故枝条虽分而同本干知，发其一端而已。又所析理以辞，解体用图，庶亦约而能周，通而不黩，览之者思过半矣……

24. Similar matters are connected and each has its own place, so that although the branches are divided, they all share the same trunk and root. It is enough to examine just one aspect. Moreover, the analysis of principles is done through words, and the structure and function are explained through diagrams, so that it is concise yet comprehensive, clear without being murky. Those who view it will have thoughts that are more than half-formed...

25. 数学支配着宇宙。

25. Mathematics governs the universe.

26. 孔子圣人，其学必始于观书。

26. Confucius, the Saint, must have begun his studies by observing books.

27. 学习的敌人是自己的满足，要认真学习一点东西，必须从不自满开始。对自己，学而不厌，对人家，诲人不倦，我们应取这种态度。

27. The enemy of learning is one's own satisfaction. To study something seriously, one must start from the point of not being complacent. To oneself, we should be never tired of learning; to others, we should never be tired of teaching. This is the attitude we should adopt.

28. 心中装满着自己的看法与想法的人，永远听不见别人的心声。

28. A person whose heart is filled with their own opinions and thoughts will never hear the voices of others.

29. 我们愈是学习，愈觉得自己的贫乏。

29. The more we learn, the more we realize our own poverty.

30. 无论什么事，如果不断收集材料，积之十年，总可成一学者。

30. No matter what, if one keeps collecting materials and accumulates them over ten years, one can eventually become a scholar.

31. 迟序之数，非出神怪，有形可检，有数可推。

31. The sequence of delay is not due to supernatural causes; it has tangible evidence that can be inspected and numerical patterns that can be deduced.

32. 纯数学是魔术家真正的魔杖。

32. Pure mathematics is the true wand of the magician.

33. 古今中外有学问的人，有成绩的人，总是十分留意积累的。知识就是积累起来的，经验也是积累起来的。我们对什么事情都不应当像过眼云烟。

33. People of learning and accomplishment throughout history and across the world always pay great attention to accumulation. Knowledge is accumulated, and so is experience. We should not treat anything as a fleeting cloud passing before our eyes.

34. 盛年不重来，一日难再晨。及时当勉励，岁月不待人。

34. Youthful years do not return, a single morning can never come again. Seize the moment and strive, for time waits for no one.

35. 准备种子，就收获果实；准备努力，就收获成功；准备今天，就收获明天。

35. Prepare the seeds, and you will reap the fruits; prepare the efforts, and you will reap success; prepare today, and you will reap tomorrow.

36. 书籍是任何一种知识的基础，是任何一门学科的基础的基础。

36. Books are the foundation of any kind of knowledge, and the foundation of the foundations of any discipline.

37. 己所不欲，勿施于人。

37. Do not do to others what you would not have them do to you.

38. 数学是科学的皇后，而数论是数学的皇后高斯（Gauss）音乐能激发或抚慰情怀，绘画使人赏心悦目，诗歌能动人心弦，哲学使人获得智慧，科学可改善物质生活，但数学能给予以上的一切。

38. Mathematics is the queen of sciences, and number theory is the queen of mathematics. Gauss's music can inspire or soothe the soul, painting delights the eyes, poetry moves the heartstrings, philosophy imparts wisdom, and science improves material life, but mathematics can provide all of the above.

39. 修行要有耐性，要能甘于淡泊，乐于寂寞。

39. Cultivation requires patience, the ability to be content with simplicity, and to take pleasure in solitude.

40. 我的成功只依赖两条。一条是毫不动摇地坚持到底；一条是用手把脑子里想出的图形一丝不差地制造出来。

40. My success depends on only two things. One is unwaveringly sticking to the end; the other is meticulously crafting the image in my mind without any deviation.

41. 读书是我唯一的娱乐。我不把时间浪费于酒店、**或任何一种恶劣的游戏；而我对于事业的勤劳，仍是按照必要，不倦不厌。

41. Reading is my only form of entertainment. I do not waste time at hotels or engage in any form of deleterious gaming; and my diligence in my career is still as necessary, unflagging, and unwearying.

42. 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。

42. A person's contribution is inversely proportional to their conceit, which seems to be an axiomatic principle of character.

43. 没有永远的恶人，只有永远的恶行。

43. There are no permanent evil people, only permanent evil deeds.

44. 在学习中，在劳动中，在科学中，在为人民的忘我服务中，你可以找到自己的幸福。

44. In learning, in labor, in science, and in selfless service to the people, you can find your own happiness.

45. 书籍能引导我们进入高尚的社会，并结识各个时代的最伟大人物。

45. Books can guide us into noble society and acquaint us with the greatest figures of all ages.

46. 没有任何动物比蚂蚁更勤奋，然而它却最沉默寡言。

46. No animal is more diligent than the ant, yet it is the most silent and taciturn.

47. 细线常锯木必断，檐水久滴石必穿。

47. If a thin thread is repeatedly sawed, it will eventually break the wood; if rainwater drips on the eaves for a long time, it will surely wear through the stone.

48. 合抱之木，生于毫末；百丈之台，起于垒土；千里之行，始于足下。

48. A tree with an embrace can grow from the tiniest sprout; a tower of a hundred feet can be built from a heap of earth; a journey of a thousand miles begins from one's feet.

49. 现在，我怕的并不是那艰苦严峻的生活，而是不能再学习和认识我迫切想了解的世界。对我来说不学习，毋宁死。

49. Now, what I fear is not the harsh and rigorous life, but the inability to learn and understand the world I am so eager to comprehend. To me, not learning is preferable to death.

50. 仅次于选择益友，就是选择好书。

50. Next to choosing good friends, it is choosing good books.

51. 数学对观察自然做出重要的贡献，它解释了规律结构中简单的原始元素，而天体就是用这些原始元素建立起来的。

51. Mathematics makes an important contribution to the observation of nature, explaining the simple primitive elements of the structural regularities, which celestial bodies are constructed from.

52. 莫等闲，白了少年头，空悲切。

52. Do not squander your youth, greying your hair, only to feel empty sorrow.

53. 书籍并不是没有生命的东西，它包藏着一种生命的潜力，与作者同样地活跃。不仅如此，它还像一个宝瓶，把作者生机勃勃的智慧中最纯净的精华保存起来。

53. Books are not lifeless objects; they harbor a potential for life, as lively as the author themselves. Moreover, they act like a treasure vase, preserving the purest essence of the author's vibrant wisdom.

54. 探索真理比占有真理更为可贵。

54. Seeking the truth is more valuable than possessing the truth.

55. 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。

55. We find that each new group is formally mathematical, as we cannot have any other guidance.

56. 天才绝不应鄙视勤奋。

56. Genius should never look down upon diligence.

57. 对于害怕危险的人，这个世界上总是危险的。

57. For those who fear danger, there is always danger in this world.

58. 今日的执着，会造成明日的后悔。

58. Today's persistence can lead to tomorrow's regret.

59. 书籍是屹立在时间的**大海中的灯塔。

59. Books are lighthouses standing in the ocean of time.

60. 富贵必从勤苦得。

60. Wealth and status must come from diligence and hardship.

61. 你不要一直不满人家，你应该一直检讨自己才对。不满人家，是苦了你自己。

61. You should not always be dissatisfied with others; you should constantly examine yourself instead. Being dissatisfied with others only brings suffering to yourself.

62. 伟大的成绩和辛勤劳动是成正比例的，有一分劳动就有一分收获，日积月累，从少到多，奇迹就可以创造出来。

62. Great achievements and hard work are proportional to each other; there is a corresponding harvest for every bit of labor. With the accumulation of days, from little to much, miracles can be created.

63. 黑发不知勤学早，白首方悔读书迟。

63. Young with black hair, one does not realize the importance of studying early; only when one is old and white-haired does one regret reading too late.

64. 随缘不是得过且过，因循苟且，而是尽人事听天命。

64. "Following the circumstances is not about just getting by or being complacent; it is about doing one's best and then leaving the rest to fate."

65. 读书给人以快乐、给人以光彩、给人以才干。

65. Reading brings joy, gives luster, and imparts skill.

66. 积财千万，无过读书。

66. Accumulate a fortune of ten thousand, there is no better way than through reading.

67. 为了成功地生活，少年人必须学习自立，铲除埋伏各处的障碍，在家庭要教养他，使他具有为人所认可的独立人格。

67. In order to live successfully, young people must learn to be self-reliant, eliminate the hidden obstacles everywhere, and be educated at home to develop an independent personality that is recognized by others.

68. 理无专在，而学无止境也，然则问可少耶。

68. There is no end to learning, for knowledge is not confined to any one place, so then, can inquiry be minimized?

69. 数学家通常是先通过直觉来发现一个定理；这个结果对于他首先是似然的，然后他再着手去制造一个证明。

69. Mathematicians usually discover a theorem first through intuition; the result seems plausible to them at first, and then they proceed to construct a proof.

70. 思维的运动形式通常是这样的：有意识的研究

70. The form of movement of thought is usually such: conscious inquiry

71. 聪明的樵夫，应该是既善于砍柴，也善于磨刀的。

71. A wise woodcutter should be good at both cutting wood and sharpening his ax.

72. 成功是陡峭的阶梯，两手插在裤袋里爬不上去。

72. Success is a steep ladder, and one cannot climb it with both hands in the pockets.

73. 做一个积极主动的人，最重要的是心，热爱生命，勤奋实干，开放进取。

73. To be an active and proactive person, the most important thing is the heart, to love life, to be diligent and hardworking, and to be open and progressive.

74. 卓越的人一大优点是：在不利与艰难的遭遇里百折不饶。

74. One of the great virtues of an outstanding person is their unyielding perseverance in the face of adverse and difficult circumstances.

75. 永远别让你的思想平凡了，告诉自己你这辈子不平凡。

75. Never let your thoughts be ordinary, tell yourself that you are extraordinary in this lifetime.

76. 每一种挫折或不利的突变，是带着同样或较大的有利的种子。

76. Every setback or adverse mutation is accompanied by seeds of equal or greater benefit.

77. 学问对于人们要求最大的紧张和最大的热情。

77. Knowledge demands the greatest intensity and the greatest enthusiasm from people.

78. 不应当急于求成，应当去熟悉自己的研究对象，锲而不舍，时间会成全一切。凡事开始最难，然而更难的是何以善终。

78. One should not be in a hurry to achieve success. Instead, one should familiarize oneself with the research subject, persevere, and time will make everything complete. The hardest part is starting something, but even harder is knowing how to end it well.

79. 要了解一个人，只需要看他的出发点与目的地是否相同，就可以知道他是否真心的。

79. To understand a person, it is enough to see if the starting point and destination are the same to know if they are sincere.

80. 学者的一天，比不学无术的人的一生还有价值。

80. A scholar's day is more valuable than an unlearned person's entire life.

81. 文学是社会的家庭教师。

81. Literature is the family tutor of society.