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Mathematicians' mathematical level
Newton, Maxwell and Einstein are the most outstanding physicists in history. Newton founded classical mechanics almost by himself and made many fundamental contributions in the fields of optics and astronomy. Maxwell established the mansion of classical electromagnetic theory, and his contribution to electromagnetism can be comparable to Newton's contribution to classical mechanics. Einstein was the greatest physicist in the last century. He established special relativity and general relativity, which played a key role in the establishment and development of quantum mechanics. Yang Zhenning is regarded as one of the greatest physicists after the war. His gauge field theory has far-reaching influence and may play a greater role in the future.

Physics and mathematics are inseparable. If you ask Newton, Einstein, Maxwell or Yang Zhenning who has a higher level of mathematics, this question is quite interesting.

Newton is not only a great god in physics, but also a great god in mathematics. He independently invented calculus and discovered binomial theorem, making Newton one of the three greatest mathematicians in history (the other two are Archimedes and Gauss).

Maxwell can be called a mathematician, or at least half a mathematician. He used four beautiful equations to decipher all the electromagnetic phenomena in the universe. This achievement is inseparable from his solid mathematical skills. The reason why Faraday before him couldn't do such a job was directly related to Faraday's low level of mathematics. Maxwell's mathematical skills also helped him make great discoveries in statistical physics. He gave Maxwell's law of velocity distribution and the function of molecular velocity distribution.

Although Einstein was a great physicist, he was by no means a mathematician. He made no achievements in mathematics, so he had to make up his knowledge of mathematics when he founded the general theory of relativity. Einstein, with his knowledge of mathematics and his profound insight and imagination in physics, became a great physicist who can be as famous as Newton.

Although no material can be found to call Yang Zhenning a mathematician, Yang Zhenning's mathematical ability is extraordinary. Maxwell gave four equations, but he didn't see the geometry. Yang Zhenning saw beautiful geometry and established gauge field theory. When Normative Field Theory was published for 50 years 1994, Yang Zhenning's work was praised in the award speech of the Bauer Prize? Reconstructed physics and geometry for nearly 40 years? . The solution of Young-Mills equation is one of the most difficult mathematical problems at present. Compared with mathematics, I can say that Yang Zhenning's level is at least above Einstein's.