1. Poems about mathematics
Original publisher: zhuzhubai128
Poems and music related to mathematics can inspire or soothe feelings, paintings are pleasing to the eye, and poetry It can move people's hearts, philosophy can make people gain wisdom, and technology can improve material life, but mathematics can provide all of the above. We want to turn boring mathematics learning into an aesthetic process of appreciating and discovering beauty. We can completely incorporate some mathematics-related poems into it, or even guide students to create. I once listened to the classes and teaching and research activities of teachers from Qingdao No. 2 Middle School. I was surprised by the abilities and talents displayed by their students in this area. It can be seen that we must believe that students' creativity and imagination are far beyond our imagination. What we can do and should do is to give them an inspiration and build a platform. Attached below are some poems related to mathematics that I have accumulated. 1. Poems related to textbook chapters Chapter 1 "Set, Mapping and Function": The sun sets, the moon rises, the fragrance of flowers and fruits, things change, the stars change, and the vicissitudes of life are seen. There are many connections between cause and effect. How can we find a good strategy to overcome confusion? The foundation theory of set is rigorous, and the mapping function is pale and yellow. Looking at the list of pictures and talking about lifting, Kehai has tips for sailing. Chapter 2 "Exponential Functions, Logarithmic Functions and Power Functions": The morning fog hinders traffic, and the mushroom core clouds cover the sky; the fossil years are cleverly calculated, and the text is as fast as the wind. Exponential and logarithmic complement each other, and the cube and square are symmetrical; Explain a thousand infinite things, and the three families of functions have done wonders. 2. Poetry and Mathematics Questions There are twelve mathematical questions in Zhu Shijie's "Siyuan Jade Mirror" and "Or Wen Ge Lu", all of which are posed in the form of poetry. For example, the first question: "Today there is a square pond, with four sides standing on each side. The two banks of Jia Sheng are long in shape, and the water is thirty inches full. On the east bank, there is a kind of cattail, and there is no zero in the water. The Jia Pu is slightly connected to the water. Ping, I would like to ask how to determine the three things (water depth, Pu length, Jia length)? "In the Yuan Dynasty, there is a calculation method "Detailed Algorithm" about the method of measuring fields: "In ancient times, the fields were relatively smooth and long, and they all relied on the rope ruler. Although there are general methods for a shape, only the square field method is easy to specify. If the vortex is oblique and concave, 2. Poems about mathematics
Poems about mathematics include:
1. "Mountain Village Odyssey"
Author: Shao Yong (Northern Song Dynasty)
Two or three miles away, there are four or five houses in Yancun
There are six pavilions. Seven seats, eighty or ninety flowers.
Translation:
At a glance, there are four or five houses enveloped in mist. There are six or seven pavilions next to the village, and many flowers are blooming.
Appreciation: The poet uses the method of "primary school counting" to describe the beautiful scenery of the countryside one by one, which is easy to understand, as if the picture is right in front of you. General.
2. "Picture of Fishing Alone on the Autumn River"
Author: Wang Shizhen (Tang Dynasty)
A straw hat, a straw hat, a small boat, a foot of silk fiber and an inch of silk. Hook.
A song and a bottle of wine, one person fishing alone in the river.
Sitting wearing a bamboo hat and a coir raincoat. On a small boat, a foot-long fishing line and an inch-long fish hook.
Sing a fishing song loudly and drink a bottle of wine, fishing alone on the river in autumn.
3. "Song of Snow"
Author: Zheng Banqiao (Qing Dynasty)
One piece, two pieces, three or four pieces, five pieces, six pieces, seven or eight pieces
Thousands of snowflakes fall from the sky, and the whole world is covered with white.
Translation:
/p>
The falling snowflakes fall into the reed flowers and merge with the white reed flowers, making it difficult to distinguish.
Appreciation: People use numbers mainly to show the beauty and beauty of the snow scene. A scene of heavy snow is displayed in front of people's eyes, as if the snow scene is right in front of the readers' eyes, making people feel immersed in it.
4. "Queju"
Author: Du Fu (Tang Dynasty)
Two orioles sing in the green willows, and a row of egrets ascend to the blue sky.
The window contains the snow of Qianqiu in the West Ridge, and the door is docked with ships thousands of miles away from Dongwu.
Translation:
Two orioles sang among the green willow branches, and a row of egrets flew into the high blue sky.
The scenery of Xiling Snow Mountain seemed to be embedded in the window, going east and west. Wu's ship is moored next to the door
5. "Moon on the Xijiang River - Night Journey on the Yellow Sand Road"
Author: Xin Qiji (Song Dynasty)
Farewell to the Moon. The magpies are startled, and the cicadas chirp in the breeze in the middle of the night. The fragrance of rice flowers tells of a good harvest, and the sound of frogs sounds.
Seven or eight stars are outside the sky, and two or three points of rain are in front of the mountain. In the old days, by the forest of Maodian Society, I suddenly saw a bridge over a stream when the road turned.
Translation:
The bright moonlight passed through the branches, startling the magpies on the branches, and the cool evening breeze seemed to hear the cicadas chirping in the distance. In the aroma of rice flowers, people are talking about the good harvest, and the sounds of frogs are heard in their ears.
The sky was covered with dark clouds, the stars were twinkling, bright and dark, and a light rain fell in front of the mountain. The small thatched house of the past is still next to the woods of Tutu Temple. When the road turns around the source of the stream, it suddenly appears in front of you.
Appreciation: The author's specific feelings of walking on the yellow sand road at night describe the beautiful scenery of rural summer nights. The image is vivid and lifelike, the feeling is cordial and delicate, and the brushwork is light and lively, giving people a sense of reality. 3. Famous verses about the kingdom of mathematics
Music is very similar to algebra. - Hardenberg
Those who insist that there is no beauty in mathematical science are wrong. The main form of beauty It is order, symmetry and clarity. - Aristotle
Feeling the beauty of mathematics, feeling the coordination of numbers and shapes, feeling the elegance of geometry, this is clear to all true mathematicians The real feeling of beauty. - Poincaré
The beauty of mathematics is naturally and clearly laid out. - Halmos
I think that when it comes to mathematicians choosing topics Criteria and criteria for judging his success are mainly aesthetic criteria, which is correct.
——Von Neumann
My work always strives to combine truth with Beauty is combined with beauty, but when I have to choose one of them, I usually choose beauty. - Weir
In the evaluation of mathematical theorems, aesthetic standards are more important than logical standards. Criteria that are more important than practicality: When evaluating mathematical ideas, beauty and elegance are much more important than whether they are rigorous, correct, or useful. - Steen
Pure mathematics can be practical and useful. , and applied mathematics can also be beautiful and elegant. - Halmos
To conduct further research on a theorem that has been correctly identified and explore its new proof method is just because of the existing proof Lack of the charm of beauty. - Klein
Mathematicians, like painters or poets, are makers of styles. . The style of a mathematician, like that of a painter or a poet, must be beautiful... There is no permanent place for ugly mathematics. - Hardy
A strange beauty rules the kingdom of mathematics, this beauty It’s not as similar as the beauty of art to the beauty of nature, but it deeply infects people’s hearts and inspires people to appreciate her, which is very similar to the beauty of art.——Cuomo
Is it not possible to describe music as the mathematics of feeling, and mathematics as the music of reason? In this way, the musician feels mathematics, the mathematician thinks music - music is a dream, mathematics is a life of work - each reaches perfection through the other. At that time, the model of human wisdom reaching perfection will somewhere. The future Mozart--Dirichlet or Beethoven--Gauss glorified. This union was already clearly foreshadowed in the genius and work of one Helmholtz.—Silverster 4. Expression of the beauty of mathematics
Beauty is the product of human creative practical activities and the perceptual manifestation of human essential power.
Usually what we call beauty exists in the form of natural beauty, social beauty, and based on these, artistic beauty and scientific beauty. Mathematical beauty is an objective reflection of natural beauty and the core of scientific beauty.
In short, the beauty of mathematics is the wonderful, regular, pleasing and beautiful things in mathematics. Many scholars and mathematicians in history have vividly elaborated on the beauty of mathematics from different aspects.
Proclus has long asserted: "Wherever there is mathematics, there is beauty." Aristotle also once said: "Although mathematics does not explicitly mention goodness and beauty, goodness and beauty It cannot be completely separated from mathematics.
Because the main formalists of beauty are "order, symmetry and certainty", which are the principles of mathematical research. "Hua Luogeng, a famous Chinese mathematician, said: "As for mathematics itself. It is magnificent, colorful, varied and fascinating... People who think mathematics is boring only see the rigor of mathematics but do not realize the inherent beauty of mathematics."
Mathematician Xu Lizhi said. : "Mathematics as a scientific language has the characteristics of beauty that are common to language and art. That is to say, mathematics also has its own certain beauty in its content structure and methods, which is the so-called mathematical beauty. The meaning of mathematical beauty It is rich, such as the simplicity and unity of mathematical concepts, the coordination and symmetry of structural relationships, the generality, typicality and universality of mathematical propositions and mathematical models, as well as the singularities in mathematics, etc. The specific content of beauty. ”
It can be seen from the above discussion that mathematics is full of elements of beauty. The beauty of mathematics is the perceptual and rational presentation of the essential power of mathematical science. It is not something ethereal or elusive. Rather, it has its definite objective content. The beauty of mathematics is different from other kinds of beauty. It does not have bright colors, beautiful sounds, or dynamic pictures, but it is a unique kind of beauty.
German mathematician Klein once described the beauty of mathematics as follows: "Music can inspire or soothe emotions, painting can make people happy, poetry can move people's heartstrings, philosophy can help people gain wisdom, and technology can improve material life. , but mathematics can provide all of the above. "The difference between mathematical beauty and other beauties is that it is the beauty contained in it.
For example, everyone must have this feeling. Most students are easily interested in music and physical beauty, but not many are interested in mathematics.
I think there are two main reasons for this: First, the beauty shown in the beauty of music and body is explicit, and this kind of beauty is easier for students to feel, recognize and understand; while the beauty in mathematics also has some expressions In the appearance of mathematical objects, such as exquisite graphics, beautiful formulas, clever solutions, etc., but in general, the beauty in mathematics is still deeply contained in its basic structure. This inner rational aesthetic student It is often difficult to feel, recognize and understand, which is one of the main features that distinguishes mathematics from other subjects.
Second, for a long time, our mathematics textbooks have overemphasized logical systems and logical deductions and ignored the role of mathematical beauty and mathematical intuition. In the long run, students equate mathematics with logic. If you only focus on the logic of mathematics and ignore the beauty of mathematics itself, you will feel boring and lack of interest in the learning process.
Most mathematicians derive aesthetic pleasure from their work and from mathematics in general. They express this joy by describing mathematics as beautiful.
Sometimes mathematicians describe mathematics as an art form, or at least a creative activity. Often compared to music and poetry.
The beauty of mathematics also lies in its precise expression of life and its perfect deduction of logic. It can be said that it is this accuracy that makes a good life in modern society.
Bertrand Russell used the following words to describe his feeling about the beauty of mathematics: Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry. (The Study of Mathematics, in Mysticism and Logic, and Other Essays, ch. 4, London: Longmans, Green, 1918 .) Translation: Mathematics, if viewed correctly, has... a supreme beauty - just like the beauty of sculpture, a cold and serious beauty, which does not appeal to the weak aspects of our nature, this beauty Beauty does not have those gorgeous decorations of painting or music. It can be pure to the point of sublimity, and can reach the strict perfection that only the greatest art can show. A true spirit of joy, a spiritual excitement, a consciousness that feels higher than human beings - these are the standards of perfection and beauty, which can be found in poetry and mathematics.
(Studies in Mathematics, in Mysticism and Logic, with other papers, generalizations. 4. London: Romance House, Green, 1918.)
Paul Erdos describes Regarding his view of the ineffability of mathematics, he said: "Why are numbers beautiful? It's like asking why Beethoven's Symphony No. 9 is beautiful. If you don't know why, no one else can tell you why.
I know that numbers are beautiful, and if they weren't beautiful, nothing in the world would be.
”
The most beautiful thing about it is that it makes you think sharply invisibly. When you think about things, you are no longer so extreme and single. As a citizen, if you don’t understand it, it is a hindrance. If so, at least it should not be denied, especially for students. Let us first take a look at the following formula: 1 x 8 + 1= 912 x 8 + 2= 98123 x 8 + 3= 9871234 x 8 + 4= 987612345 x 8 + 5= 98765123456 x 8 + 6= 9876541234567 x 8 + 7= 987654312345678 x 8 + 8= 98765432123456789 x 8 + 9= 9876543211 x 9 + 2= 1112 x 9 + 3= 111123 x 9 + 4 = 11111234 x 9 + 5 = 1111112345 x 9 + 6= 111111123456 x 9 + 7= 1. 5. Looking for poems about mathematics~~Urgent
There are many poems that use poetry to express mathematical ideas and concepts.
For example, in the new curriculum high school mathematics textbook edited by Academician Zhang Jingzhong (the textbook is the new curriculum standard experimental textbook of Hunan Education Press), there is a poem in each chapter. For example, in the first chapter "Sets, Mappings and Functions", it says. To: The sun sets, the moon rises, the flowers and fruits are fragrant, things change, the stars change, and the vicissitudes of life are seen.
There are many connections between cause and effect. How to solve the confusion? The foundation of the set is rigorous, and the mapping function is discussed in the sky. There are tips.
When it comes to the second chapter "Exponential Functions, Logarithmic Functions and Power Functions", it says: The morning fog blocks traffic, the mushroom core clouds cover the sky; the fossil years are cleverly calculated, and the sea of ????wen Querying sentences is as fast as the wind. Exponents and logarithms complement each other, and cubes and squares are symmetrical; it explains infinite things, and the three families of functions can do wonders. Read these two chapters carefully, and you will have a special feeling.
2. Poetry Mathematics Questions Mathematics is very abstract and boring. How to make mathematics easy to understand and loved by people? In this regard, ancient Chinese mathematicians have made many attempts. Songs and formulas are one of them, which make people While solving mathematical problems, I also felt the charm of poetry. Starting from Yang Hui in the Southern Song Dynasty, Zhu Shijie, Ding Ju, Jia Heng in the Yuan Dynasty, Liu Shilong, and Cheng Dawei in the Ming Dynasty all proposed various algorithms in the form of songs or poetry. Ask various mathematical questions.
There are twelve mathematical questions in Zhu Shijie's "Siyuan Jade Mirror" and "Or Wen Ge Lu", all of which are posed in the form of poetry: " Now there is a square pond, with four sides stopping on each side.
The two banks of Jiasheng are long in shape, and the water is thirty inches wide. There is a kind of cattail growing on the east bank, and there is not a single zero on the water.
Jia Pu is slightly flush with the water. How to determine the three parameters (water depth, Pu length, Jia length)? "In the Yuan Dynasty, there was an arithmetic scripture "Detailed Algorithm" about the method of measuring acres of land: "In ancient times, the fields were relatively long and long, and they were all measured by ropes and rulers. Although there are general methods for a form, only the square field method is easy to specify.
If you see that the vortex is oblique and concave, you must make up for it and make a square. But the millet is actually accumulated in the field, and the acres divided by two or four are powerful.
""Algorithm Tongzong" by Cheng Dawei of the Ming Dynasty is a popular and practical mathematics book and a representative work of numbers in poetry. "Algorithm Tongzong" has seventeen volumes and was widely circulated in the late Ming and Qing dynasties. It has made outstanding contributions to the popularization of folk mathematics knowledge.
This book took nearly 20 years to complete. He was originally a businessman. During his business, he collected arithmetic and writing books from various places and compiled them. Cheng Dawei also has a similar drinking mathematics poem about linear equations of two variables: " There are a lot of drinkers in the restaurant, and the wine is famous for its thin wine, but its thick wine is mellow.
One bottle of good wine will make three people drunk, and three bottles of thin wine will make one person drunk. *** We drank nineteen together, and thirty-three guests were drunk.
I would like to ask a wise man how much wine he has and how much alcohol he has? "The general idea of ??this poem is: One bottle of good wine can make three guests drunk; three bottles of thin wine can make one guest drunk. If 33 guests are drunk, they will drink 19 bottles of wine in total.
How many bottles of good wine and thin wine are there? There is a question in the famous "Sun Zi Suan Jing" about "I don't know the number of things". The original text of this problem is: "There are things today but I don't know the number." The number of threes and threes leaves two, the number of fives and fives leaves three, the number of sevens and sevens leaves two, what is the geometry of the object? The answer is twenty-three.
"This problem spread to later generations and has had many interesting names, such as "Gui Gu Suan", "Han Xin Pointing Soldiers", etc. Cheng Dawei used the form of poetry in "Algorithm Tongzong", He wrote the mathematical solution: "Three people walking together are seventy-nine, five trees have twenty-one plum blossoms, seven children are reunited at the first half of the month, divide by one hundred and five and you will know."
"This poem contains the famous "remainder theorem". That is, take the remainder of division by 3 and multiply it by 70, add the remainder of division by 5 and multiply by 21, and multiply the remainder of division by 7 by 15 , if the result is more than 105, then subtract the multiple of 105.
The result of the above problem is: (2*70)+(3*21)+(2*15)-(2*105)=23. There is also such a mathematical poem in the works of Indian scholar Bashikara: "The fragrance of frangipani flowers attracts bees to collect nectar.
There is an endless hustle and bustle, and a group of people fly into the flowers. I want to ask How many numbers are there in this group? Let’s analyze the conditions: half the square root of the whole, there are two more together; a ninth of the total is just playing games.
"If you list the irrational equation. After calculation, it can be concluded that there are 72 bees in this group. There is also a mathematical poem about lotus: "The water of Pingping Lake is clear and can be seen, and red lotus grows half a foot on the stone. It stands out of the mud and is unstained, and is suddenly blown to the clear water.
The fisherman is busy watching. In front of me, the flower is two feet away from its original position. If you can calculate it, please solve the problem. How do you know the depth of the lake? "What a poetic algebra problem!" You see, the length of the red lotus growing in the lake is half a foot above the lake surface. It is blown to one side by the wind. The distance between the flower on the top of the red lotus and the original water surface is 2 feet. How deep is the lake? According to the Pythagorean theorem, the depth of the lake is 3.75 feet. 3. Numbers incorporated into poetry: The most common number incorporated into poetry is one.
Although "一" is a numerical concept, in fact, properly applying the word "一" to poetry will produce beautiful artistic effects. For example, Chen Qiufang, a poet of the Qing Dynasty, wrote a poem with the word "一" titled "Picture of Fishing Alone on the Autumn River": "A sail, an oar, a boat, a fisherman and a fishing hook, a bow and a smile, a bright moon on the river. One River in Autumn
"When Li Yu, the later master of the Southern Tang Dynasty, was in power, he wrote two inscriptions for the "Picture of Fishing on the Spring River" by the court painter Wei Xian: "The waves are full of snow, and the peaches and plums are speechless. A team of spring; a pot of wine, a pole, how many people in the world are like peasants. "A spring breeze, a boat, a cocoon, a light hook; the flowers are all over the country, the wine is all over the pot, and you are free in the vast expanse of waves."
"The images of free and easy fisherman are vividly portrayed. Another example is a poem from the Yuan Dynasty called "The Wild Geese Falling with Their Belts to Lead the Victory Order": "Year after year, one day after another, one autumn after another, one generation urges the other, one gathering and one parting, one suffering. A sadness.
Lying on the same bed, in a lifetime of dreams, looking for an acquaintance, he and we all know each other, play once, sing once. "22 poems. The constant repetition of the word "一" reflects the illusory misery of life.
The way of writing is strange and it uses slang to win. Some poems have numbers from one to ten embedded into the poem.
Shao Kang, an acting scholar of the Song Dynasty, said: "After going two or three miles, there are four or five houses in Yancun, six or seven pavilions, and eighty or ninety flowers." The beauty of this poem lies in the sequence of ten chapters embedded in it. A few basic numbers and a few words depict a quiet and elegant pastoral scene, arousing people's endless emotions and fascination. 6. Looking for a 1,000-word essay on the beauty of mathematics
Mathematics is the basis of all sciences, and its role is well known.
Having entered modern civilization, we have long been accustomed to living in a sea of ??numbers, using 1, 2, 3, and 4 for basic communication. But contrary to its huge social role, very few people really love mathematics, are truly obsessed with mathematical research, and explore the hidden beauty of mathematics.
People often say "Don't judge a book by its cover". As a subject that uses numbers and graphics to speak, mathematics is like Cinderella in scientific fairy tales. Under its boring and boring appearance, the most moving and beautiful things are hidden.
First of all, I think the beauty of mathematics lies in its mystery. A simple symbol can outline endless natural truths.
Newton's three laws of motion can encompass the motion laws of the vast universe using only a few simple mathematical formulas. For everyone who is willing to seek the truth, mathematics can be said to be their best tourist attraction.
Groups of numbers and graphics interweave here to create the most moving scenery. This landscape is continuous but completely different. When you wander in the ocean of mathematics, you will never feel that "the height is too cold", nor will you have the indulgence of "I can do whatever I want". Some of you are just looking for The interest of secluded exploration and the reverence for the truth of nature.
Even after Chen Jingrun, China’s most famous mathematician, took off the jewel in the mathematical crown, he still had to proceed cautiously on the road of mathematical research with a pilgrimage attitude. Secondly, I think the beauty of mathematics lies in its application.
"Gold and jade on the outside, but ruins on the inside" is often used to denounce those people and things that are superficial. It can be seen that our standard for evaluating beauty is not only because of its beautiful internal and external characteristics, but also whether it is beautiful. Has practical value. “Mathematics is the mother of all sciences.” This sentence sums up the value of mathematics in all areas of social life.
Use mathematics when shopping. The development of computer software, the design of a city's traffic routes, and the construction of the entire earth's network are all inseparable from mathematics. Even in the field of art, there is a presence of mathematics; numbers are arranged according to different pitches, which is a melodious musical score; among sculptures and paintings, which one lacks the law of the mathematical golden section? The turrets of the Forbidden City without a single nail, and the Forbidden City with double eaves and brackets, which one is inseparable from rigorous mathematical knowledge? It is no exaggeration to say that it is mathematics that uses numbers and graphics to build the ladder for the continuous advancement of human society.
The beauty of mathematics is like beautiful and harmonious music, unique paintings, and majestic buildings, which will also arouse the passion of mathematics learners. With such dedication and merit, can we say that mathematics is not beautiful? Finally, I think the beauty of mathematics lies in the success after challenge after challenge.
The acquisition of this kind of beauty often comes at the cost of long hours of hard thinking and tedious calculations, and one must accept failures and mistakes again and again, and must accept the loneliness caused by boring learning. After repeated defeats, repeated defeats, and finally, you may be taking a shower or brushing your teeth, and suddenly you will be enlightened, as if music suddenly plays, and the problem seems to be solved all of a sudden.
At that time, I often felt like I was floating in the mountains. This beauty is unparalleled.
This is the simplicity and charm of mathematics in my eyes. As a strange gem in the scientific world, it will surely shine brightly in the new era and guide us to move forward with its unique beauty. 7. Who can help me write a poem in praise of mathematics? The more we can break it, the better
Mathematics, the love of my heart
You have come from ancient times,
Your rigorous steps are dust-free;
What you wear is simple and beautiful,
Shining with the light of wisdom that is more precious than jewelry;
You use silk curtains Covering that holy appearance,
looming, attracting many outstanding men to hunt for your beauty,
You dance to the notes of the universe,
Our hearts jump with you;
The pure language is so precise,
That true heart is invincible even to death,
In the long years Here,
despite the baptism of dust,
the beauty remains.
Your grace can only be shown to the wise,
Those fools cannot hope or reach it,
You are the goddess,
In charge Hold the key to the treasure chest of wisdom,
Let those who can see you and appreciate you
gain the power of life,
For your Beautiful,
I can only sing with the most beautiful poems. 8. The mathematical beauty of mathematical quotes
Mathematics is indeed a beautiful masterpiece, just like the creation of a painter or poet - it is a synthesis of ideas; like the synthesis of colors or words, it should have inner harmony.
For mathematical concepts, beauty is her first touchstone; there is no such thing as deformed and ugly mathematics in the world. ——G.H. Hardy Music can inspire or soothe feelings, paintings can make people happy, poetry can move people's hearts, philosophy can make people gain wisdom, science can improve material life, but mathematics can give all the above.
——F.Klein Wherever there is number, there is beauty. ——Proclus When mathematicians derive equations and formulas, they get as much happiness as seeing statues, beautiful scenery, hearing beautiful tunes, etc.
- Kopnin (former Soviet philosopher) This is the benefit of a well-structured language. Its simplified notation is often the source of profound theories. ——Laplace (-1827) Social progress is the crystallization of human pursuit of beauty.
——K.Max Mathematics, if viewed correctly, not only possesses truth, but also possesses supreme beauty. ——B. Russell Mathematics can promote people's understanding of the characteristics of beauty-value, proportion, order, etc.
——Aristotle Beauty consists in volume and order. ——G.W.F. Hegel A mathematician without some poetic talent will never become a complete mathematician.
——Weierstrass (KarlWeierstrass1815-1897) Pure mathematics, by its essence, is the poetry of logical thought. - Einstein Mathematics, like music or poetry, clearly does have aesthetic value.
——Jacobi Mathematics is a creative art, because mathematicians create beautiful new concepts; mathematics is a creative art, because mathematicians live, speak and behave like artists; mathematics is a creative art, Because that's what mathematicians think. - Halmos Music is very similar to algebra.
—— Hardenberg Those who insist that there is no beauty in mathematical science are wrong. The main forms of beauty are order, symmetry and clarity.
——Aristotle The beauty of mathematics lies naturally and clearly. ——Halmers I think it is correct to say that the criteria by which a mathematician chooses a topic and judges his success are mainly aesthetic criteria.
——Von Neumann My work always strives to combine truth and beauty, but when I have to choose one, I usually choose beauty.
——Weil In the evaluation of mathematical theorems, aesthetic standards are more important than logical standards and practical standards: when evaluating mathematical ideas, beauty and elegance are more important than whether they are rigorous and correct, or whether they are useful. many.
——Steen Pure mathematics can be practical and useful, and applied mathematics can also be beautiful and elegant. ——Halmers To conduct further research on the theorem that has been correctly identified and explore its new proof method is just because the existing proof lacks the charm of beauty.
——Klein Mathematicians, like painters or poets, are makers of styles.
The style of a mathematician, like that of a painter or a poet, must be beautiful... There is no permanent place for ugly mathematics. ——Hardy A peculiar kind of beauty rules the kingdom of mathematics. This kind of beauty is not as similar as the beauty of art and the beauty of nature, but it deeply infects people's hearts and arouses people's appreciation for her, which is the same as the beauty of art. Very similar.
——Cuomo Isn’t it possible to describe music as the mathematics of feeling, and mathematics as the music of reason? In this way, the musician feels mathematics, the mathematician thinks music - music is a dream, mathematics is a life of work - each reaches perfection through the other. At that time, the model of human wisdom reaching perfection will somewhere. The future Mozart - Dirichlet or Beethoven - dazzled under the praise of Gauss. This union was clearly foreshadowed in the genius and work of one Helmholtz.
- Silverster Generally speaking, I would like to think of mathematics more as an art than as a science. Because we can say that the activities of a mathematician, when he is guided by the external rational world instead of being controlled, continue to carry out creative activities, are similar to the activities of an artist or a painter, and have reality, not illusion. similarities.
The rigorous deductive reasoning on the part of a mathematician can be likened to the painting skills on the part of a painter. Just as a person without certain skills cannot become a good painter, a person without certain precise reasoning abilities cannot become a good mathematician.
However, although these are their basic qualities, they are not enough to make a painter or mathematician worthy of the name. Drawing skills and reasoning ability, to be honest, are not the most important factors after all. Far more sensitive, for both are chief among the qualities that make a great artist or a great mathematician is imagination.
——Bocher We can expect that with the development of education and entertainment, more people will appreciate music and painting. However, the number of people who can truly appreciate mathematics is very small.
——Bells In reality, there are not so many things like mathematics, which have lasted for thousands of years and are still so beautiful. ——Sullivan.