1. Poems about the beauty of mathematics

Poems about the beauty of mathematics 1. Poems about mathematics

Original publisher: zhuzhubai128

Mathematics-related poetry and music can inspire or soothe feelings, paintings are pleasing to the eye, poetry can touch the heart, 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 beauty 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, and 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 the infinite things, and the three families of functions have done wonderful things. 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 feet on each side. The two banks of Jia Sheng are long in shape, and the water is thirty inches wide. On the east bank, there is a kind of cattail, and there is not a single foot of water on 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 a 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

There are poems about mathematics. ：

1. "Mountain Village Odyssey"

Author: Shao Yong (Northern Song Dynasty)

After going two or three miles, there are four or five houses in Yancun.

There are six or seven pavilions with eighty or ninety flowers.

Translation:

At a glance, it is two or three miles away, and four or five families are covered 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 in a simple and easy way. Understand, as if the picture is right in front of you

2. "Picture of Fishing Alone on the Autumn River"

Author: Wang Shizhen (Tang Dynasty)

One coop, one hat and one hat. A flat boat, one foot of silk and one inch of hook.

A song and a bottle of wine, one person fishing in the river.

Wearing a hat. I was sitting on a small boat wearing a raincoat, a foot-long fishing line and an inch-long fishhook.

Singing a fishing song loudly and drinking a bottle of wine, I was alone on the river in autumn. Fishing Alone

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 are falling from the sky, and the plum blossoms are missing.

They are all completely white.

The falling snowflakes fall into the reed flowers, blending in with the white reed flowers, making it difficult for people to distinguish.

Appreciation: People use numbers mainly. Showing the beauty and beauty of the snow scene, showing a scene of heavy snow in front of people's eyes, as if the snow scene is right in front of the readers, making people feel immersed in it.

4. "Quequatrains"

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 Xiling Mountains, 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 seems to be embedded in the window, and ships traveling to and from Soochow are moored next to the door.

5. "Moon on the Xijiang River: Night Walk on the Yellow Sand Road"

Author: Xin Qiji (Song Dynasty)

Magpies are frightened by the bright moon, and cicadas sing 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 talked about the good harvest, and the sounds of frogs came to 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 feelings are 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

People who insist that there is no beauty in mathematical science is wrong. The main forms of beauty are order, symmetry and clarity. - Aristotle

Feeling the beauty of mathematics, feeling the coordination of numbers and shapes, feeling the elegance of geometry, these are all Real mathematicians all know the true feeling of beauty.——Poincaré

The beauty of mathematics is naturally and clearly laid out.——Hammers

I think , it is correct to say that the criteria for a mathematician to choose a topic and the criteria for judging his success are mainly aesthetic criteria.

——Von Neumann

Mine Work always strives to combine truth and beauty, but when I have to choose one of them, I usually choose beauty. - Weir

In the evaluation of mathematical theorems, aesthetic standards are both More important than logical standards, but also more important than practical standards: 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

Do further research on the theorem that has been correctly identified and explore its new proof. It's just because the existing proofs lack 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 is not as similar as the beauty of art to the beauty of nature, but it deeply infects people's hearts and arouses people's appreciation for 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 Nor can it be completely separated from mathematics.

Because the main formalists of beauty are "order, symmetry and certainty", these are the principles of mathematical research. "Hua Luogeng, a famous Chinese mathematician, once said: "As far as mathematics itself is concerned, 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 beautiful characteristics of general language and art. That is, mathematics also has its own content structure and method. A certain kind of beauty, the so-called mathematical beauty. The meaning of mathematical beauty 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 singularity in mathematics, etc. They are all the specific contents of mathematical 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 and elusive, but has its own Determined objective content. Mathematical beauty 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 K. Lain once described the beauty of mathematics as follows: "Music can inspire or soothe feelings, paintings can make people happy, poetry 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. "The difference between the beauty of mathematics 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 the beauty of music and body. 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; Although some of the beauty in mathematics is reflected in the appearance of mathematical objects, such as exquisite graphics, graceful formulas, clever solutions, etc., in general the beauty in mathematics is still deeply embedded in its basic structure. This inner rational beauty is often difficult for students 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 the logical system. and logical deduction, ignoring the role of mathematical beauty and mathematical intuition. In the long run, students will equate mathematics with logic and ignore the beauty of mathematics itself, and the learning process will feel boring and lack of interest. p>

Most mathematicians derive aesthetic joy from their work and from mathematics in general. They express this joy by describing mathematics as beautiful.

Sometimes mathematicians express this joy. Mathematics is a form of art, or at least a creative activity. It is often compared with music and poetry.

The beauty of mathematics also lies in its precise expression of life and its perfect interpretation 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 spirit of true joy, a spiritual excitement, a consciousness that feels higher than human beings - these are the standards of perfection, 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 beautiful.”

The most beautiful thing about it is that it’s invisible. It will make your thinking quick. When you think about things, you will no longer be so extreme and single. As a citizen, not understanding it is an afterthought, at least you should not deny it. Especially students. Let's take a look first. The following formula: 1 x 8 + 1= 912 x 8 + 2= 98123 x 8 + 3= 9871234 x 8 + 4= 987612345 x 8 + 5= 987654123456 x 8 + 7= 9876543123456 78x8+ 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 is said: The sun sets, the moon rises, the fragrance of flowers and fruits, and the changes of things and the stars show the vicissitudes of life.

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.

When it comes to the second chapter "Exponential Functions, Logarithmic Functions and Power Functions", it says: The vast morning fog hinders traffic, the mushroom core clouds cover the sky; The fossil years are cleverly calculated, and the text is written as fast as Wind. Exponents and logarithms complement each other, and cubes and squares are symmetrical; they can explain a thousand infinite things, and three families of functions have done wonders. After studying these two chapters, read them carefully and get a different feeling.

2. Poetry Mathematics Questions Mathematics is very abstract and boring. How to make mathematics easy to understand and popular with people? In this regard, ancient Chinese mathematicians have made many attempts. Songs and formulas are One of them allows people to feel the charm of poetry while solving mathematical problems. Starting from Yang Hui in the Southern Song Dynasty, Zhu Shijie, Ding Ju, Jia Heng in the Yuan Dynasty, Liu Shilong, Cheng Dawei in the Ming Dynasty, etc. all used the form of songs to propose various algorithms or used poetry to propose various mathematical problems.

There are twelve mathematical problems in Zhu Shijie's "Four Yuan 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 feet on each side."

The two banks of Jia Sheng are long in shape, with thirty inches of water out. A kind of Pu grows on the east bank, and there is no zero in the water. .

If the jiapu is slightly flush with the water, how can we determine the three parameters (water depth, pu length, and jiap length)? "There is a calculation method in the Yuan Dynasty called "Xingming Algorithm": "In ancient times, measuring fields was relatively smooth and long, and they all relied on ropes and rulers to measure. Although there are general methods for a shape, the method of square fields is easy to specify.

If you see eddies that are slanted and concave, you must straighten them up. Take it as a square. But the millet is actually a field plot, and the acres divided by two and four are powerful.

"Algorithm Tongzong" written by Cheng Dawei in the Ming Dynasty is a popular and practical mathematics book, and it also incorporates numbers into poetry. Representative work. "Algorithm Tongzong" is a seventeen-volume book that was widely circulated in the late Ming and Qing dynasties and made an outstanding contribution to the popularization of folk mathematics knowledge.

This book took nearly 20 years to complete. Cheng Dawei was originally a businessman. While doing business, he collected arithmetic and writing books from various places and compiled them into songs and formulas. Boring mathematical problems are turned into beautiful poems, which are catchy and strengthen the affinity of mathematics popularization. Cheng Dawei also has a similar mathematical poem about drinking with linear equations of two variables: "There are many drinkers in the restaurant, and the thin wine is famous for its honesty and mellowness."

One bottle of good wine will make three people drunk, and three bottles of thin wine will make three people drunk. One person. I drank nineteen together, and the thirty-three guests were drunk.

How much wine is there for a wise man? "The main 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.

Question: How many bottles of good wine and thin wine are there? There is a problem in the famous "Sun Zi Suan Jing" that "the number of things is unknown". The original text of this arithmetic question is: "Today there is something whose number I don't know. There are two left after counting threes and threes, three remaining after counting fives and fives, and two remaining after counting sevens and sevens. What is the geometry of the object? The answer is twenty-three.

< p> "This problem has been passed down to later generations and has had many interesting names, such as "Guigu Suan", "Han Xin's Order of Soldiers", etc. Cheng Dawei wrote a mathematical solution in the form of poetry in "Algorithm Tongzong": "Three people walking together are seventy rare, five trees have twenty-one plum blossoms, seven children are reunited on 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 to say, take the remainder of division by 3 and multiply it by 70, add the remainder of division by 5 and multiply it by 21, then add the remainder of division by 7 and multiply it by 15. If the result is more than 105, 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 crowd of people flying into the flowers. I want to ask How many are there in this group? Let's analyze the conditions: half the square root of the whole group, there are two more together; a few ninths of the total are wandering around playing games.

"If you list the irrational equations, you can find 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 the stone is half a foot red. The lotus stands tall and tall out of the mud, unstained, and is suddenly blown to the clear water.

The fisherman hurriedly moved forward while watching, and the flower was 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? "This is such a poetic algebra question! Look, the length of the red lotus growing in the lake is half a foot above the lake. 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 in poetry: The most common number in poetry is one. It is a numerical concept. In fact, the appropriate application of the word "一" in poetry will produce beautiful artistic effects. For example, the Qing Dynasty poet Chen Qiufang 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 and an autumn river.

"When Li Yu, the later master of the Southern Tang Dynasty, was in power during the Five Dynasties, he wrote two inscriptions for the "Picture of Fishing on the Spring River" written by the court painter Wei Xian: "The waves are like a thousand layers of snow, and the peach and plum trees are like a team of spring without words; A pot of wine, a pole, how many people in the world are like Nong. ""One spring breeze, one leaf on the boat, one cocoon thread and one light hook; the flowers are all over the lake, the wine is over the Ou, and you are free in the vast expanse of waves.

"The images of free and easy fishermen are vividly portrayed. Another example is a poem from the Yuan Dynasty called "The Order of Wild Gooses Falling and Leading to Victory": "Every year gets older, and every day passes. Autumn after autumn, one generation urges the other, one gathers and one parting, one suffers and one sad.

Lying on the same bed and lying on the same body, looking for an acquaintance in a lifetime of dreams, he and we are all familiar with each other, playing and singing once. "The 22 characters "一" in the poem are repeated constantly, reflecting the illusory misery of life.

The writing method is strange and uses slang. Some poems will inlay numbers from one to ten into the poem. .

Shao Kang, an acting scholar of the Song Dynasty, said: "After walking for 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 is that it embeds ten cardinal numbers in sequence and only a few words, depicting a quiet and elegant pastoral scene, arousing people's endless emotions and fascination.

6. Looking for an article about mathematics A beautiful 1,000-word essay

As the foundation of all sciences, its role is well known.

After entering modern civilization, we have long been accustomed to living in a sea of ??numbers, using 1 and 2. , 3, and 4 carry out basic communication. But contrary to its huge social role, few people really love mathematics, are truly obsessed with mathematical research, and explore the hidden beauty of mathematics.

Say "Don't judge a book by its cover." As a subject that speaks with numbers and graphics, mathematics is like Cinderella in scientific fairy tales. Under its boring and boring appearance, the most moving and beautiful things are hidden.

< p> 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 be solved with just a few simple mathematical formulas. It can encompass the laws of motion of the vast universe. For everyone who is willing to explore the truth, mathematics can be said to be their best tourist attraction.

Groups of numbers and shapes are intertwined here. The most moving scenery. This scenery is continuous but completely different. When you are wandering in the ocean of mathematics, you will never feel like "it's too cold at high places", nor will you feel like "it's just as smooth as the plains." Some of the indulgence is just the interest in exploring the secrets and the reverence for the truth of nature.

Even Chen Jingrun, the most famous mathematician in China, still cherished the thought after taking off the jewel in the crown of mathematics. The mood of pilgrimage is to move forward cautiously on the road of mathematical research. Secondly, I believe that the beauty of mathematics lies in its application.

"What is beautiful outside is bad inside" is often used to criticize people and people who 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 has practical value. "Mathematics is the mother of all sciences" sums up the value of mathematics in all fields 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 planet'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 its 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 achievements, 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 cover that holy face with a silk curtain,

The looming appearance attracts 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 to death,

In the long years,

Despite the baptism of wind and 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. Holding 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 wonderful masterpiece, just like the creation of a painter or poet - it is a synthesis of ideas; like the synthesis of colors or words, There should be internal harmony and consistency.

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, obviously 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 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 inspires people to appreciate 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 as more of an art than 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.