1. Poems about mathematics
1. There is no colorful phoenix flying wings in the body, but there is a clear understanding in the heart.
——"Two Untitled Poems" by Li Shangyin of the Tang Dynasty
2. The white emperor's speech among the colorful clouds, thousands of miles to Jiangling, returned in one day.
——"Early Departure from Baidi City" by Li Bai of the Tang Dynasty
3. I know from afar that my brothers have climbed to a high place, and there is one less person planted with dogwood trees.
——"Reminiscences of Shandong Brothers on September 9th" by Wang Wei of the Tang Dynasty
4. Stop and sit in the maple forest at night, the frost leaves are as red as the February flowers.
——"Mountain Journey" by Du Mu of the Tang Dynasty
5. The east wind does not agree with Zhou Lang, and the bronze bird spring locks Er Qiao deeply.
——"Red Cliff" by Du Mu of the Tang Dynasty
6. Beyond the blue sky, the three mountains are halfway down, and the two waters divide Bailuzhou.
——"Ascending the Phoenix Terrace of Jinling" by Li Bai of the Tang Dynasty
7. The flying stream falls three thousand feet, which is suspected to be the Milky Way falling from the sky.
——"Looking at the Lushan Waterfall" by Li Bai of the Tang Dynasty
8. Whoever speaks of the heart of an inch of grass will be rewarded with three rays of spring.
——"Wandering Son's Song" by Meng Jiao of Tang Dynasty
9. The war rages on for three months, and a letter from home is worth ten thousand gold.
——"Spring Hope" by Du Fu of the Tang Dynasty
10. The beauty of April in the world is gone, and the peach blossoms in the mountain temple are beginning to bloom.
——"Peach Blossoms in Dalin Temple" by Bai Juyi of the Tang Dynasty
11. I heard the plum blossoms blowing in the morning wind, and the snow piles were all over the four mountains.
——"Plum Blossom" by Lu You of the Song Dynasty
12. After all, the scenery of West Lake in June is different from that of the four seasons.
——"Sent Off to Lin Zifang from Jingci Temple at Dawn" by Yang Wanli of the Song Dynasty
13. The city gate assists the Three Qin Dynasties, and the wind and smoke look out to the Wujin.
——"Sending Du Shaofu to Shuchuan" by Wang Bo of the Tang Dynasty
14. The jade flute is played in the Yellow Crane Tower, and the plum blossoms fall in May in Jiangcheng.
——"Listening to the Flute Playing in the Yellow Crane Tower with Lang Qin," Tang Dynasty. Li Bai
15. Don’t blame me for being happy but melancholy. The whole family wants to go on a boat on the five lakes.
——"A Confidant at the Bi Xun Banquet" Tang Dynasty. Cao Ye
Appreciation of "The east wind does not agree with Zhou Lang, and the bronze bird spring locks two Qiao deeply"
Full text:
"Red Cliff"
The broken halberd sinks in the sand, but the iron is not sold.
I will be able to recognize my previous dynasty.
The east wind does not agree with Zhou Lang,
Tongquechun locks Erqiao deeply.
Notes:
1. Broken halberd sinking in the sand: a broken halberd sank into the sand; halberd: a kind of weapon.
2. East wind: Soochow used fire attacks to attack Cao Ying in the west with the help of east wind.
3. Zhou Lang: Zhou Yu, commander of the Wu army.
4. Er Qiao: The two beauties of Wu Kingdom, Da Qiao married the king of Wu Kingdom; Xiao Qiao married Zhou Yu.
Translation:
The broken halberd sank in the sand, but it has not been melted for six hundred years;
I took it and polished it myself, and recognized it as the red halberd. Used for war.
If the east wind had not facilitated Zhou Yu's fire attack;
Da Qiao and Xiao Qiao would have been locked up in the Tongque Tower by Cao Cao. 2. Poems about mathematics
There are many poems related to mathematics. Selected parts are as follows:
1. "Mountain Village Ode"
(Northern Song Dynasty) Shao Yong
After walking for two or three miles, there were four or five houses in Yancun,
six or seven pavilions, and eighty or ninety flowers.
2. "Snow Plum"
(Ming Dynasty) Lin Hejing
One piece, two pieces, three or four pieces, five pieces, six pieces, seven or eight pieces.
Nine, ten, and countless pieces flew into the plum blossoms and disappeared.
3. "Girlfriend's Grudge"
(Qing Dynasty) Huang Huanzhong
A hundred-foot tower and a ten thousand-foot stream, the cloud book was sent to western Liaoning in eighty-nine years.
I suddenly heard that the geese are flying in February, and I hate the fact that the rooster sings at midnight.
The five or six return periods are hopeless, and the seven thousand hatreds are not yet complete.
I have looked around at Gu Hongying for half my life, and for ten years I have been saddened by the cuckoo’s cry.
4. "Elegy of Dr. Yue"
(Tang Dynasty) King Luo Bin
It is a pity that life is so fast, and he laments that this road is difficult. The hills and mountains are filled with hatred, but the words and laughter are always joyful.
It’s late in the desolate suburbs, and the wells are desolate and cold. Whoever is a guest will only see Ren An.
Whose land is in the wormwood, and who is in the pine gate? A hundred years and thirty thousand days, a farewell for thousands of years.
5. "Quequatrains"
(Tang Dynasty) Du Fu
Two orioles sang in the green willows, and a row of egrets climbed into the blue sky. The window contains the snow of Qianqiu in the Xiling Mountains, and the door is docked with ships thousands of miles away from Dongwu.
6. "The Envoy to the Fortress"
(Tang Dynasty) Wang Wei
The bicycle wanted to ask about the side, but the country he belonged to was too far away. Zheng Peng left Hansai, returned to Yan and entered Hutian. The desert is solitary and the smoke is straight, and the sun is setting over the long river. When Xiao Guan meets the officials, they all protect Yan Ran.
7. "Traveling is Difficult·Part 1"
Tang Dynasty: Li Bai
A gold bottle of sake is worth ten thousand, and a jade plate is worth ten thousand yuan of treasure. Stopping the cup and throwing chopsticks, I can't eat. I draw my sword and look around at a loss. If you want to cross the Yellow River, which is blocked by ice, you will have to climb the snow-covered mountains of Taihang.
8. "Song of the Eight Immortals while Drinking"
(Tang Dynasty) Du Fu
Li Bai drank wine and slept in a restaurant in Chang'an City.
The emperor couldn't get on the ship, so he claimed that he was a wine-drinking immortal.
9. "Inscription on the Western Forest Wall"
(Song Dynasty) Su Shi
Viewed horizontally, it is a ridge and a peak on the side, with different heights near and far. I don’t know the true face of Mount Lu, just because I am in this mountain.
10. "A Visit with a Young Man"
(Tang Dynasty) Li Bai
The purple swallow has golden eyes, tweeting and swaying green. We chase each other in peacetime and make friends with Luo Mendong. A young man learned swordsmanship and defeated the White Ape Lord.
The beaded robe is trailing the brocade belt, and the dagger is stuck in Wu Hong. It comes from the fact that ten thousand people are brave and carry the glory of this life. Entrusted to Congju Meng, bought drunk into Xinfeng.
Laughing down a glass of wine in a murderous city.
11. "Four Poems for Drinking Alone Under the Moon"
(Tang Dynasty) Li Bai
A pot of wine among the flowers, drinking alone without any blind date. Raise a glass to invite the bright moon, and make three people in the shadows. The moon doesn't know how to drink, and its shadow follows me. For now, the moon will be shadowed, and we must have fun until spring.
12. "Pour wine and ask about the moon"
(Tang Dynasty) Li Bai
When will the moon come in the blue sky, I will stop drinking and ask. People cannot reach the bright moon, but the moon travels with people.
As bright as a flying mirror, it comes to Danque, and the green smoke extinguishes the clear brilliance. But seeing the night coming from the sea, I would rather know that it has disappeared into the clouds.
13. "Chibianlou"
(Tang Dynasty) Xue Tao
The clouds and birds in the plain forest are in the eight windows of autumn, overwhelming the forty states of Xichuan. All generals should not be greedy for the Qiang tribe's horses, as they will always be on the sidelines at the highest level.
14. "Plum Blossom Quatrains·Part 1"
(Song Dynasty) Lu You
I heard the plum blossoms blowing in the morning wind, and the snow piles were all over the four mountains. How can one transform into hundreds of billions, one plum blossom tree and one blooming man?
15. "Peach Blossoms in Dalin Temple"
(Tang Dynasty) Bai Juyi
When the beauty of April in the world is gone, the peach blossoms in the mountain temple begin to bloom. Everlasting regret has no place to return to in spring, and I don’t know where to turn. 3. Ancient poems about mathematics
There are many ancient poems about numbers. Here is an example of "Pagoda Lighting":
1. Pagoda Lighting
This is a question in the "Nine Chapters of Algorithm and Analogy" written by Wu Jingzian, a mathematician from the Ming Dynasty. The title is:
Looking at the seventh floor of the towering tower from a distance, the red lights are multiplying.
***Lights three hundred and eighty-one, how many lights are there on the top floor?
Solution:
Sum of multiples of each layer:
1+2+4+8+16+32+64=127
Number of lights on the top floor: 381÷127=3 (cups)
2. Introduction to the work:
Jiuzhdng suanfa bileidaquan (Jiuzhdng suanfa bileidaquan) is also known as "Nine Chapters Detailed Notes" "Comprehensive Collection of Comparison Algorithms". An arithmetic book from the early Ming Dynasty. The first of the ten volumes was written by Wu Jing in the Ming Dynasty and was completed in 1450.
The first volume of the book is "Examples of Multiplication, Division and Square Extraction", which aims to explain the basic theory of algorithms and lists the notation of large numbers, notation of decimals, units of weights and measures, the four arithmetic operations of integers and fractions, positioning, and division. Squares, differences and other terms are explained one by one in the form of poetry. The beginning of the volume also proposes a "writing algorithm" that has never appeared in previous Chinese mathematics works: according to the number of digits in the multiplication of two numbers, draw the square accordingly. , place the two multipliers above and to the right of the square, choose a direction to draw the diagonal line of each square, and write the product of each two numbers in the corresponding square, with the tens digit at the top and the ones digit at the bottom. Write the rules, and then add the diagonal rows one by one to get the digits of the product required. Volumes 1 to 9 are a compilation of solutions to more than 1,400 applied problems. They follow the style of "Nine Chapters of Arithmetic" and belong to Fangtian, Millet, and Shaanxi. Nine categories are divided, Shao Guang, Shang Gong, Loss of Loss, Insufficiency of Profit, Equation, and Pythagorean. Each volume includes three parts: ancient questions, poems, and analogies: ancient questions are mostly based on the content of "Nine Chapters on Arithmetic" and are also adapted from Yang Hui's "Nine Chapters on Arithmetic". Detailed explanation of the contents of books such as "Nine Chapters of Algorithms"; poems are based on songs to express calculations; analogies are similar to algorithms, and are combined with practical problems at that time, including commodity exchange, partnership, interest calculation, and distribution of goods (compensation based on the price of goods) Fees), etc. Volume 10 "Various Square Roots", including square root, cube root, higher power root and strip root from square and strip from cube. The method used is "Li Cheng Release Lock Method" instead of "Multiplication Method" ". This book mainly introduces the planning method, but also mentions the abacus. This book is now handed down to have an engraving in the first year of Hongzhi in the Ming Dynasty (1488).
3. Introduction to the author:
Wu Jing, whose courtesy name is Xinmin and whose title is called Yiweng. A native of Renhe, Zhejiang (now Hangzhou). He once served as the chief envoy of Zhejiang Province and the shogunate. His birth and death dates are unknown, but he lived around 1450 in the 15th century. He was a mathematician during the Jingtai period of the Ming Dynasty in China and the author of "Nine Chapters on Algorithms and Analogies".
4. Ancient poems about mathematics
In "The Legend of the Condor Heroes", Guo Jing and Huang Rong asked Ying Gu for help, and Ying Gu came up with questions for the school exam. Regarding several mathematical questions, Huang Rong said two mathematical poems. .
(1) Today there is something whose number I don’t know. When I count three or three, there are two left. When I count five or five, there are three left. When I count seven or seven, there are two left. What is the geometry of the object?
Translation: There is a pile of things. I don’t know how many they are. I only know that the total number divided by 3 will leave a remainder of 2, divided by 5 will leave a remainder of 3, and divided by 7 will leave a remainder of 2. Find the number of things in this pile.
Huang Rong answered:
When counting from three to three, the remainder is multiplied by seventy; when counting from five to five, the remainder is multiplied by twenty-one; when counting from seven to seven, the remainder is multiplied by fifteen . If the sum of the three is not greater than one hundred and five, that is the answer, otherwise one hundred and five or its multiples must be subtracted. Yinggu calculated it in her mind, and it was indeed correct. She memorized it in a low voice: "Count threes and threes, and multiply the remainder by seventy; count fives and fives..." Huang Rong said: "There's no need to memorize it like this, I'll recite it." If I read a poem to you, it will be easy to memorize it:
Three people walking together are seventy-nine years old, five trees have twenty-one plum blossoms, it is only half a month since the seven sons reunited, and the remaining one hundred and five will be known.
(2) Nine-square grid
Arrange the nine numbers from one to nine in three columns. Regardless of the vertical, horizontal and oblique angles, the sum of each three characters is fifteen.
Huang Rong answered:
The meaning of the Nine Palaces is based on the turtle, with two and four as shoulders, eight and six as feet, three on the left and seven on the right, nine shoes on one, and five in the center.
This is very simple. It should only need to explain "wearing nine shoes": 9 is at the top and 1 is at the bottom. 5. What are some poems related to mathematics?
1. "Mencius Poems" Shao Yong, Song Dynasty
After going two or three miles, there are four or five houses in Yancun.
There are six or seven trees in front of the door, with eighty or ninety flowers.
2. "Poems of a Resentful Man" by Zhuo Wenjun
After parting, the two places missed each other, only saying that it was March and April;
Who knew May or Six In the year, I have no intention of playing the lyre;
There is no letter to pass on the eight-line script, and the nine-link chain is broken in the middle;
The ten-mile long pavilion is full of eyes, full of lovesickness, thousands of longings, and all kinds of helplessness to complain.
There are thousands of words to say, and I am bored by ten columns. I climb high to see the geese. The moon is full in the Mid-Autumn Festival in August and people are not round;
In the middle of July, I burn incense and ask questions. Heaven, in the dog days of June, everyone is fanning my fans;
In May, the pomegranates are like fire, but the cold rain watered the flowers; in April, the loquats are not yet yellow, and I want to look into the mirror and feel confused;
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In March the peach blossoms turn with the water, in February the kite string breaks;
Oops! Lang, Lang, I wish you could be a girl and I could be a boy in the next life.
3. "Looking at the Lushan Waterfall" by Li Bai, Tang Dynasty
The incense burner in the sunshine produces purple smoke, and you can see the waterfall hanging in front of the river in the distance.
The flying stream falls three thousand feet, and it is suspected that the Milky Way has fallen into the sky.
4. "Early Departure from Baidi City" by Li Bai, Tang Dynasty
Bai Di's farewell speech was among the colorful clouds, and a thousand miles of rivers and mountains were returned in one day.
The apes on both sides of the bank can't stop crying, and the boat has passed the Ten Thousand Mountains.
5. "Weicheng Song" Wang Wei, Tang Dynasty
The morning rain in Weicheng is light and dusty, and the guesthouses are green and willow-colored.
I advise you to drink another glass of wine. There will be no old friends when you leave Yangguan in the west. 6. Famous quotes about mathematics
Quotations from mathematicians: A science can only achieve true perfection when it successfully uses mathematics. ——Marx In the world of mathematics, what is important is not us. It’s about what we know, but how we know it. ——Some beautiful theorems in Pythagorean mathematics have the following characteristics: they are easily summarized from the facts, but the proofs are extremely hidden. Mathematics is the king of science . ——Gaussian mathematics is an infinite science. ——Hermann Weyl In the field of mathematics, the art of asking questions is more important than the art of solving problems. ——Cantor As long as a branch of science can propose a large number of Problems are full of vitality, while the lack of problems indicates the termination or decline of independent development. ——Hilbert The scientific level of a country can be measured by the mathematics it consumes. ——Augustin Louis Cauchy 1789-1857) It would be a serious mistake to think that necessity exists only in geometric proofs or in the evidence of sense.
Give me five coefficients and I will draw an elephant; give me a sixth coefficient and the elephant will wag its tail. One must be convinced that science is making great progress if he is adding many new terms to it and leaving the reader to study the wonderful and indescribable things that lie before them.
Chen Shengshen Mathematics is a deductive science. It obtains conclusions from a set of postulates through logical reasoning. Science requires experiments.
But experiments cannot be absolutely accurate. If there is a mathematical theory, it all depends on inference, which is completely correct.
This is why science cannot be separated from mathematics. Many basic concepts of science often require mathematical concepts to represent them.
So it is natural that mathematicians can earn a living but cannot win Nobel Prizes. There are no Nobel Prizes in mathematics, which is probably a good thing.
The Nobel Prize is too eye-catching and will distract mathematicians from focusing on their own research. We appreciate math, we need math.
The purpose of a mathematician is to understand mathematics. Historically, mathematics has progressed in two ways: increasing understanding of known materials, and extending the scope.
Rene Descartes 1596-1650 I think, therefore I am. I was determined to give up geometry as a mere abstraction.
This means that you no longer consider problems that are just for thinking. I did this in order to study a different kind of geometry, one whose purpose was to explain natural phenomena.
Mathematics is the most powerful knowledge tool left over from human intellectual activities and is the root of some phenomena. Mathematics is immutable and exists objectively. God will build the universe based on mathematical laws.
Although Leonhard Euler (1707-1783) does not allow us to see through the secrets of the nature of nature and thus understand the real causes of phenomena, it may still happen that certain fictional assumptions are enough to explain many phenomena. Since the structure of the universe is the creation of God, the most perfect and wise, if there were not some great or minimal law in the universe, nothing would happen at all.
Zu Chongzhi (429-500) The number of late sequence is not a miraculous thing, it is tangible and can be detected, and there are numbers that can be deduced. Liu Hui: Things are related to each other, and each has its own purpose. Therefore, although the branches are divided, they have the same origin and origin, and they only originate from one end.
He also analyzes the principles with words and dissects them with diagrams. The common people can also make reservations and be able to circumscribe them. They are clear but not obscuring. Those who have read them have thought more than half of them. Laplace (Pierre Simon Laplace 1749-1827) This is the benefit of a well-structured language. Its simplified notation is often the source of profound theories.
In the science of mathematics, our main tools for discovering truth are induction and simulation. Read Euler, read Euler, he is the teacher of all of us.
Only when mathematics flourishes can a country show its national strength. Recognizing the research methods of a giant is no less useful to the advancement of science than the discovery itself.
The methods of scientific research are often a part of great interest. Leibniz (Gottfried Wilhelm von Leibniz 1646-1716) Imaginary numbers are wonderful human spiritual sustenance. They are like an amphibian between existence and non-existence.
Things that don’t work don’t exist. After considering those few things, the whole thing comes down to pure geometry, which is an aim of physics and mechanics.
James Joseph Sylvester (1814-1897) Geometry sometimes seems to be ahead of analysis, but in fact, geometry precedes analysis, just like a servant walking in front of his master. Just like that, it opens the way for the master. Perhaps I may not unduly claim the title of mathematical Adam, for I believe that I have named more mathematically rational creatures (which have become popular) than all other mathematicians of my generation put together.
Karl Weierstrass (Karl Weierstrass 1815-1897) A mathematician without some talent as a poet will never become a complete mathematician. 7. Famous aphorisms and famous quotes about mathematics
1. Pure mathematics is the real magic wand of the magician. ——Novales
2. Some beautiful theorems in mathematics have this characteristic: they are easily summarized from the facts, but the proofs are extremely hidden. ——Gauss
3. Mathematics governs the universe. ——Pythagoras
4. Mathematics is a tool of knowledge and the source of other knowledge tools. All sciences that deal with order and measurement are related to mathematics. ——Descartes
5. Mathematics is a rational spirit that enables human thinking to be used to the most perfect degree. ——Klein
6. Mathematics is a culture that will continue to evolve. —— Wilder
7. Mathematics is a unique art. —— Halmos
8. Mathematics is the highest form of all knowledge. ——Plato
9. Mathematics is the study of quantitative relationships and spatial forms in real life. ——Engels
10. Mathematics is the theory of studying abstract structures. ——The Bourbaki School
11. Mathematics is an infinite science. ——Herman Weyl
12. Mathematics is God’s symbol for describing nature. ——Hegel
13. Mathematics is the most brilliant pearl in the crown of human wisdom. ——Court
14. Mathematics is the highest achievement in human thinking. ——Mizra
15. Mathematics is the king of science.
——Gauss
16. Mathematics is a variety of proof techniques. ——Wittgenstein
17. Mathematics is symbols plus logic. ——Russell
18. Mathematics is the key to opening the door to science. ——Bacon
19. Mathematicians are essentially obsessed. Without obsession, there would be no mathematics. —— Nuvales
20. Mathematical methods penetrate and dominate all theoretical branches of natural science. It has increasingly become the primary measure of scientific achievement. ——Von Neumann 8. Famous quotes about my understanding of logic
Famous quotes
1. Whether you are a king or a farmer, family harmony is the happiest. (Goethe)
2. No matter when and where, home is always a place that opens its door to wanderers. (Robert)
3. Let children feel that family is the happiest place in the world. This is a wise approach for educated adults in the past. This wonderful family sentiment, in my opinion, is as precious as the most exquisite gifts that adults give to children. (Washington)
4. Everything I am, everything I am, I owe to my angelic mother. (Lincoln)
5. As a modern parent, I know that what matters is not how many material things you give your children, but the care and love you pour into them. Not only will a caring attitude save you a considerable amount of money, but it may even give you a sense of comfort that you spent a small amount of money and gave more than just a gift. (Noel)
6. When you are successful, everyone is a friend. But only the mother - she is the companion in failure.
(Zheng Zhenduo)