1. 人生的目的，在发展自己的生命，可是也有为发展生命必须牺牲生命的时候。因为平凡的发展，有时不如壮烈的牺牲足以延长生命的音响和光华。绝美的风景，多在奇险的山川。绝壮的音乐，多是悲凉的韵调。高尚的生活，常在壮烈的牺牲中。

1. The purpose of life is to develop one's own life, but there are times when sacrifice is necessary for the development of life. Because sometimes, ordinary development is not as sufficient as heroic sacrifice to prolong the sound and luster of life. The most beautiful scenery is often found in the perilous mountains and rivers. The most magnificent music is often composed of melancholic melodies. Noble living is often found in heroic sacrifice.

2. 不下决心培养思考的人，便失去了生活中的最大乐趣。爱迪生

2. Those who do not make a resolution to cultivate thought lose the greatest joy in life. - Edison

3. 金钱是好东西，但是这种东西能满足个人生活就可以了，不能太多了，多了就会祸害人。

3. Money is a good thing, but it's enough to satisfy personal needs; one should not have too much of it, as too much can bring harm to people.

4. 读书是在别人思想的帮助下，建立起自己的思想 鲁巴金

4. Reading is building one's own thoughts with the help of others' thoughts — Rubinstein

5. 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。达尔文

5. We find that every new group is formally mathematical, because we cannot have any other guidance. - Darwin

6. 如果把生活比喻为创作的意境，那么阅读就像阳光。池莉

6. If life is likened to the artistic conception of creation, then reading is like sunlight. Jili.

7. 腹有诗书气自华，读书万卷始通神。（宋）苏轼

7. A person with a wealth of poetry and literature within is naturally resplendent; it takes reading ten thousand books to truly understand the divine. (Song Dynasty) Su Shi

8. 知识、辨别力、正直、学问和良好的品行，是成功的主要条件，仅次于兴趣和机遇。佚名

8. Knowledge, discernment, integrity, scholarship, and good character are the main conditions for success, second only to interest and opportunity. [Anonymous]

9. 家贫亲爱散，身病交游罢。眼前无一人，独掩村斋卧。 —— 白居易《冬夜》

9. Family unity is scattered due to poverty, and friends are exhausted from illness. There is no one in sight, and I lie alone in the village cell. —— Bai Juyi, "Winter Night"

10. 雁门关外野人家，朝穿皮袄午穿纱。

10. Outside the Yanmen Pass, the wild folk wear fur coats in the morning and gauze in the afternoon.

11. 伟人都是在逆境中锻炼出来的，平静的湖面不会练出出众的水手。

11. Great men are all forged in adversity; a calm lake does not produce outstanding sailors.

12. 为学之道，莫先于穷理；穷理之要，必先于读书。朱熹

12. The way of learning is to begin with the pursuit of truth; the key to understanding truth is to begin with reading. — Zhu Xi

13. 数学方法渗透并支配着一切自然科学的理论分支。它愈来愈成为衡量科学成就的主要标志了。冯纽曼

13. Mathematical methods permeate and dominate all theoretical branches of the natural sciences. They are increasingly becoming the main criterion for measuring scientific achievements. von Neumann

14. 三年也可以等于一年，甚至比一年还少，例如每天只用五六小时以下读书，我决心每天用十六到十八小时翻阅中国历代文集。蔡尚思

14. Three years can also be equal to one year, or even less than one year, for example, if one only reads for less than five or six hours a day, I am determined to spend sixteen to eighteen hours each day reading the collections of Chinese historical texts. Cai Shangsi.

15. 光阴一去难再见，水流东海不复回。

15. Time once gone is hard to meet again, water flowing to the East Sea can't return.

16. 人家半凿山腰住，车马都在屋顶过。

16. People live halfway up the mountain, with carriages and horses passing over the rooftops.

17. 真正的有价值的人是为这个世界创造价值的人。

17. The truly valuable people are those who create value for this world.

18. 西安碑林大雁塔，名声赫赫传天下。

18. The Great Wild Goose Pagoda in Xi'an's Stele Forest, with its renowned fame spreading throughout the land.

19. 不去读书就没有真正的教养，同时也不可能有什么鉴别力 赫尔岑

19. Not to read is to have no true education, and it is also impossible to have any discernment. Herzen

20. 当数学家导出方程式和公式，如同看到雕像、美丽的风景，听到优美的曲调等等一样而得到充分的快乐。柯普宁

20. When mathematicians derive equations and formulas, they experience the same full enjoyment as when they see sculptures, beautiful landscapes, listen to melodious tunes, and so on, as Kopnin said.

21. 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。史美尔斯

21. Books are the most patient, the most enduring, and the most delightful companions. They never desert you in times of difficulty. - Samuel Smiles

22. 不到松谷庵、回家心不安。

22. Without visiting Songgu An, I can't feel at ease going home.

23. 数学是知识的工具，亦是其它知识工具的泉源。所有研究顺序和度量的科学均和数学有关。笛卡儿

23. Mathematics is a tool of knowledge and also the source of other tools of knowledge. All sciences that study order and measurement are related to mathematics. Descartes

24. 书籍陶冶情操 博维

24. Reading refines the soul — Bawei

25. 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。史密斯

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

26. 非数学归纳法在数学的研究中，起着不可缺少的作用。舒尔（I

26. Non-mathematical induction plays an indispensable role in the study of mathematics. Schur (I)

27. 没有人能比笑得过多的人更感到深切的悲衰。里克特

27. No one can feel profound sorrow more deeply than someone who laughs too much. — Rikter

28. 九龙瀑连潭、雨季最好玩。

28. The Nine Dragons Waterfall and the Pool are most enjoyable during the rainy season.

29. 世界上没有比快乐更能使人美丽的化妆品。布雷顿

29. There is no cosmetic in the world that can make a person more beautiful than happiness. - Bretton

30. 宇宙之大，粒子之微，火箭之速，化工之巧，地球之变，生物之谜，日用之繁，无处不用数学。华罗庚

30. In the vastness of the universe, the minuteness of particles, the speed of rockets, the ingenuity of chemical engineering, the changes on Earth, the mysteries of biology, the complexity of daily life, mathematics is used everywhere. Hua Luogeng

31. 读书给人以乐趣，给人以光彩，给人以才干。培根

31. Reading brings joy, glory, and ability to a person. Bacon

32. 读书无疑者，须教有疑，有疑者，却要无疑，到这里方是长进。朱熹

32. For those who read without any doubts, they must be taught to have doubts; for those who have doubts, they must strive to eliminate them, and it is at this point that progress is made. — Zhu Xi

33. 每一本书都有它自己的遭遇和寿命。有的书毁于一旦，有的书却能流芳百世马尔夏克

33. Every book has its own destiny and lifespan. Some books are destroyed in an instant, while others can be renowned for centuries. — Malchak

34. 钓桥庵前游、好景无尽头。

34. Wandering in front of the Fishing Bridge Temple, the beautiful scenery has no end.

35. 黄河百害，惟富一套。

35. The Yellow River brings a hundred ills, but only one set of prosperity.

36. 不到狮子峰，不见黄山踪。

36. Until reaching the Lion Peak, one cannot see the traces of the Yellow Mountains.

37. 多少绿荷相倚恨，一时回首背西风描写荷叶在秋风中向东倾斜，暗寓伤秋的情绪。——杜牧《齐安郡中偶题二首》

37. How many green lotus leaves lean in sorrow, all turning their backs to the west wind at once, depicting the lotus leaves tilting eastward in the autumn breeze, subtly implying the sentiment of sorrow over the autumn. — Du Mu, "Occasional Poems from Qian'an Prefecture, Two Poems"

38. 所谓内心的快乐，是一个人过着健全的、正常的、和谐的生活所感到的快乐。罗曼罗兰

38. The so-called inner happiness is the joy a person feels when living a healthy, normal, and harmonious life. — Romain Rolland

39. 当我们爱别人的时候,生活是美好、快乐的。列夫托尔斯泰

39. When we love others, life is beautiful and joyful. - Leo Tolstoy

40. 少而好学，如日出之阳；壮而好学，如日中之光；老而好学，如炳烛之明。 刘向

40. A young person who loves to learn is like the rising sun; a strong person who loves to learn is like the midday sun; an elderly person who loves to learn is like a brightly burning candle. — Liu Xiang

41. 黄山芙蓉峰、秀色最集中。

41. Huangshan's Hongtong Peak has the most concentrated beauty.

42. 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。GD伯克霍夫

42. The simple structure of integers has been a source of renewal for mathematics for several centuries. - G.D. Birkhoff

43. 吐鲁番的葡萄哈密的瓜，厍车的羊羔一枝花。

43. Turpan's grapes and Hami melons are famous, while the lamb of Kuche is like a flower.

44. 时维九月，序属三秋维。——王勃《秋日登洪府膝王阁饯别序》

44. It is the ninth month of the year, marking the third season of autumn. ——Wang Bo, "序秋日登洪府膝王阁饯别序"

45. 走路不看景、看景不走路。

45. Walk without looking at the scenery, or look at the scenery without walking.

46. 翠微峰前走、秀色处处有。

46. Walk in front of Cuwei Peak, and wherever you go, there is beauty everywhere.

47. 温泉水、身上擦、活血舒筋又解乏。

47. Hot spring water, washing the body, invigorates the blood, soothes the tendons, and alleviates fatigue.

48. 走千走万，不如淮河两岸。

48. No matter how many miles you walk, nothing beats the banks of the Huai River.

49. 榈庭多落叶，慨然知已秋榈庭。——陶渊明《酬刘柴桑》

49. The courtyard of the banyan tree is full of falling leaves, and I feel melancholic, knowing that autumn has arrived in the banyan courtyard. — From "Answering Liu Chaisang" by Tao Yuanming

50. 允许孩子们以他们自己的方式获得快乐，难道还有比这更好的方法？塞约翰逊

50. Is there a better way to allow children to find happiness in their own way? - Samuel Johnson

51. 如果你想在这个世界上获得成功，当你进入某个沙龙时，你必须让你的虚荣心向别人的虚荣心致敬。让莉斯夫人。

51. If you want to achieve success in this world, when you enter a salon, you must pay homage to others' vanity with your own vanity. Let Madame Lis.

52. 追赶时间的人，生活就会宠爱他；放弃时间的人，生活就会冷落他。

52. Those who chase time will be favored by life; those who give up on time will be ignored by life.

53. 数学家本质上是个着迷者，不迷就没有数学。努瓦列斯

53. Mathematicians are essentially enthusiasts; without enthusiasm, there is no mathematics. - Nuvalles

54. 荣誉妒忌成功，而成功却以为自己就是荣誉。让罗斯唐

54. Envy envies success, but success takes itself for honor. Let Rose Town...

55. 要成功不需要什么特别的才能，只要把你能做的小事做得好就行了。维龙

55. Success does not require any special talent; it's just about doing the small things you can do well. Virong.

56. 书籍是全世界的营养品。生活里没有书籍，就好像没有阳光；智慧里没有书籍，就好像鸟儿没有翅膀 莎士比亚

56. Books are the nourishment of the world. Life without books is like a world without sunlight; wisdom without books is like birds without wings. — Shakespeare

57. 勿以恶小而为之，勿以善小而不为。陈寿《三国志》

57. Do not do evil because it is small, and do not omit to do good because it is small. — From "The Records of the Three Kingdoms" by Chen Shou.

58. 数缺形时少直观，形缺数时难入微又说要打好数学基础有两个必经过程：先学习、接受由薄到厚；再消化、提炼由厚到薄。华罗庚

58. When numbers are lacking, shapes are less intuitive; when shapes are lacking, it's hard to delve into the details. He also says that to lay a solid foundation in mathematics, there are two essential processes: first, to learn and accept from thin to thick; then, to digest and refine from thick to thin. Hua Luogeng

59. 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。维尔斯特拉斯

59. A mathematician who lacks a bit of the poet's spirit can never become a complete mathematician. — Weierstrass

60. 再长的路，一步步也能走完，再短的路，不迈开双脚也无法到达。

60. No matter how long the road is, it can be completed step by step. No matter how short the road is, it cannot be reached without stepping forward with both feet.

61. 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。

61. Positive people see an opportunity in every adversity, while negative people see some kind of adversity in every opportunity.

62. 桂林山水甲天下，阳溯山水甲桂林。

62. Guilin's landscapes are the best in the world, and Yangshuo's landscapes are the best in Guilin.

63. 我所学到的任何有价值的知识都是由自学中得来的。 达尔文 （英国）

63. Any valuable knowledge I have acquired has come from self-study. - Darwin (British)

64. 所谓的快乐，是指身体的无痛苦和灵魂的无纷扰。伊壁鸠鲁

64. What is called happiness is the absence of pain in the body and disturbance in the soul. - Epicurus

65. 洞庭天下水，岳阳天下楼。

65. Dongting Lake is the water of the world, Yueyang Tower is the pavilion of the world.

66. 不到松谷庵，回家心不安。

66. Not reaching Songgu An, my heart is not at ease at home.

67. 树树皆秋色，山山唯落晖唐。——王绩《野望》

67. Every tree is dressed in autumn colors, and every mountain is bathed in the setting sun. — Wang Ji, "Wild Gaze"

68. 上帝创造了整数，所有其余的数都是人造的。L克隆内克

68. God created the integers, all the rest are the work of man. Kronecker

69. 书籍是屹立在时间的汪洋大海中的灯塔 惠普尔

69. Books are beacons standing in the vast ocean of time – Huxley.

70. 人们需要快乐，就像需要衣服一样。玛格瑞特科利尔格雷厄姆

70. People need joy as much as they need clothes. - Margaret Collier Graham

71. 我总是尽我的精力和才能来摆脱那种繁重而单调的计算。纳皮尔

71. I always exert my best efforts and abilities to free myself from that heavy and monotonous computation. Napier

72. 性格决定命运，气度决定格局，细节决定成败，态度决定一切，思路决定出路，高度决定深度。

72. Character determines destiny, temperament determines one's scope, details determine success or failure, attitude determines everything, mindset determines the way out, and height determines depth.

73. 读书对于我来说是驱散生活中的不愉快的最好手段。没有一种苦恼是读书所不能驱散的。孟德斯鸠

73. Reading is the best means for me to dispel the unpleasantness in life. There is no kind of distress that reading cannot dispel. Montesquieu

74. 尽可多创造快乐去填满时间，哪可活活缚着时间来陪着快乐。闻一多

74. Fill time with as much joy as possible, rather than being束缚ed by time to accompany joy. - Minyi Wen

75. 当一个伟大的思想作为一种福音降临这个世界时，它对于受陈规陋习羁绊的大众会成为一种冒犯，而在那些读书不少但学识不深的人看来，却是一桩蠢事。歌德

75. When a great idea descends upon the world as a gospel, it offends the masses who are bound by old conventions and customs, while to those who have read much but know little, it seems like a folly. - Goethe

76. 悲伤可以自行料理，快乐的滋味如果要充分体会，就需要有人分享才行。马克吐温

76. Sadness can be dealt with on one's own, but to fully savor the taste of happiness, it requires someone to share it. - Mark Twain