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About the material of mathematical composition.
On the Discovery of Irrational Numbers

The Pythagorean school of ancient Greece believed that any number in the world could be expressed by integer or fraction, which was their creed. One day, hippasus, a member of this school, suddenly found that the diagonal of a square with a side length of 1 was a strange number, so he studied hard and finally proved that it could not be expressed by integers or fractions. But it broke the Pythagorean creed. So Pythagoras ordered him not to spread the secret. But Siberus revealed the secret. Pythagoras was furious and wanted to put him to death Siberus ran away at once, but was caught and thrown into the sea, giving his precious life for the development of science. The number discovered by Hiberus is called irrational number. The discovery of irrational numbers led to the first mathematical crisis and made great contributions to the development of mathematics. This "mysterious genius from West Virginia" has no pre-school experience, no legacy or rich relatives to help him get into the Ivy League)-but Princeton's most prestigious scholarship proves that he really belongs to the Princeton team. It's not easy for Nash or Princeton. He doesn't care about elegant socializing at all, and he is not interested in class. He is obsessed with only one thing all day: finding a truly creative theory. He is convinced that this is what he should do. The competition in Princeton Mathematics Department is fierce, and some of Nash's classmates are also happy to see Nash fail. But they still tolerated him and encouraged him to become a great man intentionally or unintentionally. One night, he and several classmates had a good time in a local bar. At that time, their reaction to an enthusiastic blonde inspired him. When Nash observed these competitors, the ideas that were often brewing in his mind suddenly became clear. Then he wrote a paper on game theory-"Mathematics in Competition"-which boldly gave different explanations to the theory of Adam Smith, the father of modern economics. This idea, which has been accepted by people for 150 years, suddenly went out of date, and Nash's life changed from then on. It is a coveted job to engage in research and teaching after Nash, but he is not satisfied with it. Science played a great role in America's victory in World War II. Now, with the prevalence of the Cold War, Nash is eager to give play to his advantages in this new conflict. His wish came true, and the mysterious William Patcher (Ed Harris) recruited him to take part in a top-secret mission to crack the enemy's password. While working at MIT, Nash devoted himself to this exhausting work. Here, Nash faces a brand-new challenge, but this time the challenge comes from the radiant Alicia Ladd (Jennifer Lynn Connelly), a physics student, who introduces a concept that Nash has never seriously considered-love. Soon, Nash married Alicia, but he couldn't tell her that he was working on a dangerous project for Patcher. A little carelessness in this work will lead to disastrous consequences. Nash has been working silently. He was deeply attracted by his works and finally lost in these irresistible illusions. He was diagnosed with paranoid schizophrenia. What happened to Nash frightened Alicia, who struggled under the weight of the destroyed love of genius. Because every day seems to bring them new fears, the enviable couple lost their enviable share. But Alicia still finds his charm in the man she loves, which is the source of her commitment to him. Nash was moved by her unswerving love and loyalty, and finally decided to fight this disease that was considered incurable and could only be improved. The humble Nash goal is simple, but it is even harder to achieve. Under the pressure of illness, he is still driven by exciting mathematical theory, and he is determined to find his own way back to normal. Absolutely through willpower, he continued to work as usual and won the Nobel Prize with 1994. At the same time, his forward-looking work in game theory has become the most influential theory in the 20th century, and Nash has also become an outstanding mathematician, with not only beautiful feelings, but also a beautiful heart.

Two outstanding female mathematicians

The first female professor-Sophia Kovalevskaya.

Sophia was born in a noble manor on the border of Lithuania in czarist Russia, and her father was the head of a retired artillery regiment. She has been obsessed with mathematics since she was a child and often looks at the mathematical formulas and symbols on the wall for a long time. It turns out that the wallpaper in her room is made of handouts of advanced mathematics. Sophia was able to independently derive the trigonometric formula at the age of 65,438+04, which was called "neo-Pascal". Over time, she was called "New Pascal". Her interest in mathematics is growing. But at that time, women were not allowed to register for higher education. And her father wants her to enter the society like other aristocratic girls and block her desire to learn mathematics. So, regardless of her parents' opposition, Sophia "faked" with the young paleontologist Ke Valevski.