Expressions of Mathematical Beauty 5, talk about your understanding of mathematical beauty

Mathematics is a combination of rational thinking and imagination, and its development is based on the needs of society, so there is mathematical beauty. The main ones are: unity, symmetry, simplicity.

1. Mathematics is a combination of rational thinking and imagination, and is a discipline that studies concepts such as quantity, structure, change, and spatial models. Through the use of abstraction and logical reasoning, it is generated from counting, calculating, measuring, and observing the shape and motion of objects. Mathematicians have expanded these concepts in order to formulate new conjectures and to establish rigorously deduced truths from appropriately selected axioms and definitions.

Its development is based on the needs of society, so there is mathematical beauty. The main ones are: unity, symmetry, simplicity.

2. Its development is based on the needs of society, so there is mathematical beauty. Mathematics is only appreciated for its high degree of abstraction and rigorous logic, but few people associate it with aesthetics, mathematics originated from architecture, and it is the pursuit of beauty that gave rise to mathematics. It seems that mathematics has nothing to do with aesthetics.

In fact, this is a misunderstanding of the nature of mathematics, a lack of real understanding and recognition of the relationship between mathematics and aesthetics and the beauty in mathematics, which interprets aesthetics in a unique way.

3. Professor Hua Luogeng, a famous mathematician in China, said: "As far as mathematics itself is concerned, it is a magnificent, colorful, and fascinating ......People who think that mathematics is boring only see the rigor of mathematics, but do not appreciate the inherent beauty of mathematics. Mathematician Professor Xu Lizhi pointed out

The Mathematics Garden is full of beautiful flowers, it is a splendid and dazzling flower and fruit orchard, which is developed according to the pursuit of beauty. ”

4. Beauty in mathematics is diverse and colorful, such as the form symbols of beauty, the common key Zen style of beauty, the curve of beauty, the surface of beauty, the proof of beauty, the method of beauty, the theory of beauty, etc. In terms of content, mathematical beauty can be divided into structural beauty, linguistic beauty and methodological beauty. In terms of form, mathematical beauty can be divided into external formal beauty and internal rational beauty. Combining content and form, there are two main characteristics of mathematical beauty:

One is harmony and the other is singularity.

The beauty of mathematics is in the concept of mathematics, and the table is pure and pure ()aSimplicity.

b.Unity.

c.Symmetry.

Correct answer: ab

Reasoning, I think it's a little fulfilling.

The beauty of mathematics lies in its simplicity, harmony, and meticulousness. It's like the ancient description of beauty: if you add one point, you will be too fat, and if you lose one point, you will be too thin.

Mathematics is such a beauty. In the world of mathematics, there are infinite problems, and it is a real pleasure to have an evergreen mind.

Mathematics originated in the early production activities of human beings, and the ancient Babylonians had accumulated a certain amount of mathematical knowledge since ancient times and could apply practical problems. From the perspective of mathematics itself, their mathematical knowledge is only based on observation and experience, without comprehensive conclusions and proofs, but it is also necessary to fully affirm their contributions to mathematics.

The knowledge and application of basic mathematics is an indispensable part of the life of individuals and groups. The refinement of its basic concepts can be seen in ancient mathematical texts in ancient Egypt, Mesopotamia, and ancient India. Since then, there has been a steady stream of development.

But algebra and geometry at that time remained independent for a long time.

Algebra is arguably the most widely accepted form of "mathematics". It can be said that since everyone started learning to count when they were young, the first mathematics they came into contact with was algebra. As a discipline that studies "numbers", algebra is also one of the most important components of mathematics.

Geometry was the first branch of mathematics to be studied.

It was not until the Renaissance in the 16th century that Descartes created analytic geometry, linking algebra and geometry, which were completely separate at the time. Since then, we can finally prove the theorems of geometry with calculations; At the same time, abstract algebraic equations can also be represented graphically. Later, calculus was developed into more subtle forms.

Mathematics now includes a number of branches. Founded in the thirties of the twentieth century, the Bourbaki school in France considered Zheng Hood to be a theory of abstract structure, at least pure mathematics.

Structure is a deductive system based on initial concepts and axioms. According to them, there are three basic parent structures in mathematics: algebraic structures (groups, rings, fields, lattices......Sequence structure (partial order, full order......Topology (neighborhood, limits, connectivity, dimensionality......）

Mathematics is used in many different fields, including science, engineering, medicine, and economics. The application of mathematics in these areas is often referred to as applied mathematics and sometimes provokes new mathematical discoveries and the development of entirely new mathematical disciplines. Mathematicians also study pure mathematics, that is, mathematics itself, without aiming for any practical application.

While much of the work begins with the study of pure mathematics, it may be possible to find suitable applications later.

Specifically, there are sub-fields that explore the connections between the core of mathematics and other fields: from logic and set theory (the foundations of mathematics), to empirical mathematics in different sciences (applied mathematics), and more recently to the study of uncertainty (chaos and fuzzy mathematics).

The beauty of mathematics lies in interest, if you are interested, mathematics is everywhere, in work and life, whether it is esoteric or practical application, it is interesting to have curvature, if the world is a straight line, then the degree of boredom can be imagined!!

The beauty of mathematics lies in the process of contemplation, in the discovery of new ideas, and in the ease of solving difficult problems. From junior high school mathematics, you may not be able to experience the beauty of mathematics, but high school mathematics, but you still experience its transformation beauty, mysterious beauty, concise beauty, rough beauty, if you study the Olympiad, it is a vast world, mathematical beauty into exploration and discovery, innovation and individuality. But mathematics is the mother of all disciplines, and it has the longest history, and it has been improving all the time.

To love mathematics is to love wisdom.

Profound revelation of the law, yet we don't understand why it is so compatible. The exploration of the unknown is the charm.

y=x and y=x +|2x|+1 images have female features in them.

Let's draw it yourself (*hee-hee......