So physics and mathematics are very important sciences, and they also cross each other. You have me and I have you, which are inseparable.
From the development history of physics, great theories are often accompanied by a solid mathematical foundation. Newton, the greatest scientist in history, is not only a physicist but also a mathematician. In the field of physics, his Newton's three laws and the law of universal gravitation describe the law of low-speed motion of matter, which can guide the production and life of human beings well, and can also calculate the planetary orbits of the moon and the solar system approximately. In the field of mathematics, Newton and Leibniz invented calculus almost at the same time. The invention of calculus made it possible to discuss functions, velocities, accelerations and slope of curves with a set of universal symbols.
Maxwell, another great physicist, summed up almost all the laws and theorems in electromagnetism perfectly with a set of equations. At the beginning, Maxwell's idol Faraday dropped out of school at a young age, and his math skills were so poor that he was stuck on the road to higher achievements. Maxwell, on the other hand, has a profound knowledge of mathematics and successfully derived the mathematical expression of electromagnetic theory-Maxwell equations.
When Einstein published his general theory of relativity in 19 15, the space studied by the general theory of relativity was not an ordinary Euclidean space, but a gravitational space caused by strong gravity. Einstein thought that a mass of matter would bend the space within the gravity range of matter, and Riemann geometry played an important role at this time. With the help of their friends, Einstein finally perfected the general theory of relativity, and Riemann geometry was given a new physical meaning.
Yang Zhenning once answered this question on a TV program. He strongly disagrees that mathematics is only a tool for studying physics. He said that a physical phenomenon is closely related to mathematics. For example, the structure of electromagnetic field was not really recognized until 1970s. Later, scientists found that the electromagnetic field structure was exactly the same as the mathematical field of fiber bundle studied by China mathematician Chen Shengshen in 1950s. It can be seen that physics is also implied in mathematics.
In the development of natural science, which is more important, mathematics or physics?
In the development of natural science, physics is more important than mathematics.
Because physics is the basic subject of natural science.
Of course, it is the basic subject of social science and thinking science.
Mathematics, like linguistics in social sciences, is a tool subject.
In other words, mathematics is a tool discipline of natural science.
Linguistics is a tool discipline of social science.
Of course, linguistics is also a tool discipline of natural science and mathematics.
That is, linguistics or Chinese classes in primary and secondary schools are the basis of all disciplines.
That's all.
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Mathematics and physics are very important in the development of natural science. For example, physics is like a tree we want to cut down, and mathematics is like an axe. We need an axe to cut down trees. Without an axe, it will be difficult to cut down trees, but if we don't cut down trees, then the axe will lose its function.
Physics is the study of the nature, law and development direction of our living environment, which is closely related to our life. If we master their laws, we can make use of them and develop according to them. If we can really master their nature, I may even create them.
Newton and Einstein, two great gods of physics, laid the foundation of classical physics and modern physics respectively. Let me give some examples to illustrate the important role that mathematics plays in laying these foundations.
We can send spacecraft and satellites into space today, mainly thanks to Newton's law of gravity, but it is extremely difficult to deduce this formula, because we can't measure the mass of the earth, so Newton first discovered calculus as a mathematical tool from a mathematical point of view, and finally solved the formula derivation of the law of gravity.
Einstein was thinking about time and space when Newtonian mechanics could not explain the formation or reveal the essence of gravity, but until he saw Riemann geometry-the sum of the internal angles of triangles in a sphere was greater than 180 degrees, the existing mathematical theory could hardly support Einstein's explanation of time and space. Riemann geometry can perfectly explain the conjecture about time and space in Einstein's theory of relativity, and can explain many phenomena and calculate specific values. This shows that mathematics is very important to the development of physics.
Without the promotion of physics and the application of mathematical logic reasoning in real life, mathematics will lose its due role. I also give two examples to illustrate-the invention of computers and the application of electromagnetic waves.
The invention of computer has undoubtedly played a vital role in our human development. At that time, binary, hexadecimal, octal and hexadecimal have been known in mathematics for a long time, but we haven't had a very specific application yet. In World War II, it was probably a telegram or a message that affected the war situation. In this context, computers came into being. Turing, the father of computers, invented the first computer by using mathematical binary, which was mainly used for cracking.
The second one is about the use of electromagnetic waves. Now the mobile phone we use transmits information through electromagnetic waves, including the discovery of gravitational waves. We receive a lot of mathematical information, and only through our own instruments can we convert digital signals into information that we can see and hear.
Top physicists have a solid mathematical foundation, otherwise, how to deduce various formulas is a law.
When Einstein put forward the theory of relativity, his mathematics was a bit backward, not that he was not good at mathematics, but that mathematics was a little worse than physics.
It can almost be understood that literature is based on Chinese and science is based on mathematics.
Judging from the development history of natural science, mathematics has become more and more important. Early natural science relied more on the geometric expression of mathematics. It was not until the development of dynamics that calculus and analytical mathematics became important means to express natural science. That's because at this time, natural science began to pay attention to the uniformly accelerated motion generated by energy, and the original arithmetic knowledge could not handle the speed problem that could only be expressed by quadratic curve. Modern natural science is inseparable from mathematics, especially advanced mathematics. In a sense, natural science not only has a very close dependence on mathematics, but also has a posture of consuming all mathematical resources. I don't pay much attention to the achievements of today's science and technology, such as satellite to the sky, "5G", but I am more worried about the future development of science. In a sense, the reason why natural science has been stagnant for a hundred years is probably that calculus brought physics into a dead end 300 years ago. It may be unfair to say so, because the theory of calculus was originally put forward by natural philosophers to solve the problems of natural science. Then, it may not be mathematics but physics itself that leads to a dead end. As far as mathematics itself is concerned, there is no need to develop the so-called "calculus" and make yourself neither fish nor fowl. It is precisely because of calculus that mathematics becomes less and less like mathematics and more and more like literature. Of course, the development of natural science in the future can not be separated from mathematics, but it can not be separated from real mathematics. This kind of mathematics should return to the basis of mathematics, starting with what is a number. For example, is it possible to develop a "number" different from natural numbers and create a coordinate system of unnatural numbers, so that future physics can express uniformly accelerated motion as a straight line instead of a curve, and then no longer rely on calculus? I hope that future mathematicians or mathematicians can put forward similar new mathematics according to the law of mathematics's own development, and I believe that natural science can further develop with the help of this new mathematics. In this sense, I think mathematics is more important than physics.
Nobel is a very clever and great inventor and entrepreneur. When he sets up awards, the order is physics, chemistry, physiology or medicine and literature. From here, we can already see people's views on the importance of several disciplines at the end of 19, or objective facts. Later, around the 1950s, the Science Prize of the Royal Swedish Academy was supplemented by the Economics Prize and the Peace Prize, which showed the importance of economics as a discipline after half a century. Why don't they supplement other disciplines as new award-winning disciplines? That makes sense.
The physical products that appear in social production and life and are closely related to people's food, clothing, housing and transportation, and which disciplines they mainly benefit from, these are the best explanations.
Of course, some auxiliary subjects, such as language and accounting, are also essential, but if we have to prioritize, people with a little common sense and brains will basically come to the same conclusion.
I think this question is a bit inappropriate. I don't think mathematics is a natural science, but physics, biology, chemistry and geography are natural sciences. So the question should be, which is more important, math or physics?
These two subjects are both important roles in promoting the development of social productive forces and are indispensable. We can sort out the different functions of mathematics and physics and see their importance!
Mathematics is a basic subject, and we have to learn it as soon as we go to school. The purpose of learning mathematics is to cultivate this ability of reasoning and deduction and to cultivate a scientific way of thinking. In fact, it is also the learning method and thinking basis of other disciplines!
The study of physics is to use mathematics as the research method, and find out the corresponding laws through the study of specific physical problems, so as to promote scientific and technological progress, develop and improve social productivity!
The development of mathematics promotes the development of physics research, and the development of physics puts forward higher requirements for mathematical theory! So if I have to ask who is more important, I think it should be mathematics, because it is the foundation and the basic subject!
There is no doubt that it is physics. Three industrial revolutions are all related to physics, and mathematics serves physics. At present, the stagnation of basic science is mainly due to the lack of major discoveries in physics.
Basic knowledge such as physics, mathematics, chemistry and biology is very important. Without comprehensive knowledge and appropriate experience, how can we manage society well? For example, the construction of single-column bridge, with this knowledge, can be completely denied when examining and approving. There's nothing to lose. Another example: smoke, swinging from side to side. Construction is necessary, but it is also necessary to thoroughly control pollution.
There is no prize for mathematics in the Nobel Prize, because mathematics is not strictly regarded as a natural science.
Scientific research pays attention to three processes: proof, falsification and verification of the material world. And mathematics is a kind of logic, which cannot be expressed as matter, so in essence, mathematics is actually closer to philosophy.